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This is a plan of the Durham Cathedral, England. It is an example of English Gothic architecture. Building began in 1093 and was finished in approximately 40 years. "The square eastern termination, the less ambitious height, and the comparatively simple buttress–system, combine to give the English Gothic cathedral an air of greater repose than is found in the magnificent triumphs of French Gothic art." The scale is in feet.

Plan of Durham Cathedral, 1093–1133

This is a plan of the Durham Cathedral, England. It is an example of English Gothic architecture. Building…

This is a plan of the Salisbury Cathedral, England. It is an example of English Gothic architecture. The scale is in feet. "The square eastern termination, the less ambitious height, and the comparatively simple buttress–system, combine to give the English Gothic cathedral an air of great repose than is found in the magnificent triumphs of French Gothic art." The grouping "of 'lancet' windows, the piercing of the wall above them with the foiled circles, and the combination of the whole under an enclosed arch, soon led to the introduction of tracery, for which the design of earlier triforium arcades had also afforded a suggestion."

Plan of Salisbury Cathedral, 1075–1092

This is a plan of the Salisbury Cathedral, England. It is an example of English Gothic architecture.…

This is a plan of the Cathedral at Tournai, Belgium. It is an example of Netherlands Gothic architecture. The construction lasted from 1146 to 1325. "In the 13th century [Belgium and Holland] came under the influence of the great Gothic movement in France, and two or three of their cathedrals compare [favorably] with the French cathedrals. The finest example of earlier date is that of the cathedral of Tournai, the nave of which was built in the second half of the 11th century, to which a transept with north and south apses and aisles round them was added about the middle of the 12th century. These latter features are contemporaneous with similar examples at Cologne, and the idea of the plan may have been taken from them; externally, however, they differ so widely that the design may be looked upon as an original conception, though the nave arcades, triforium storey, and clerestory resemble the contemporaneous work in Normandy. The original choir was pulled down in the 14h century, and a magnificent chevet of the French type erected in its place. The grouping of the towers which flank the transept, with the central lantern, the apses, and lofty choir is extremely fine."

Plan of Cathedral at Tournai, 1146–1325

This is a plan of the Cathedral at Tournai, Belgium. It is an example of Netherlands Gothic architecture.…

This border was designed by Oronce Fine a French Mathematician and Cartographer in 1534. It has a design of scrolls all around, and images of figures that are playing music, displaying mathematics and geography.

Oronce Fine

This border was designed by Oronce Fine a French Mathematician and Cartographer in 1534. It has a design…

This is a drawing of Huon of Bordeaux a character in a 13th century French epic "Chason de Geste", which is translated "Songs of Heroic Deeds". It was illustrated by artist F. Mason in 1895.

Huon of Bordeaux

This is a drawing of Huon of Bordeaux a character in a 13th century French epic "Chason de Geste", which…

Palazzo Farnese is a prominent High Renaissance palace in Rome, which currently houses the French Embassy in Italy. "The pupils of Bramante and other renowned architects pursued the path which he had marked out; as, for example, Balthazar Peruzzi (1481 to 1536) as the principle of his works may be mentioned the Farnesia at Rome; Ant. di Sangallo of Florence (died 1546), whose principle work is the Farnese Palace at Rome. The third story of this palace is, however, the work of Michel-Angelo. The Farnese Palace forms to a certain extent the type of distinct class in the architecture of Roman palaces, and its chief characteristic is, that the façades are not divided by any orders of columns or pilasters, but the same effect and impression are produced by the architraves, cornices, and plinths of the windows, which invariably have rectilineal terminations, as well as the doors, and also by the string-courses which divide the storeys, and by a far-projecting cornice: at the same time especial consideration is devoted to the effect of good proportions. Ornaments are by sparingly introduced; whilst, on the other hand, the corners are generally marked by rustications. These palaces convey the impression of solidity without cumbersomeness, or richness without luxury, and above all, of simplicity in conjunction with dignity."

Farnese Palace at Rome

Palazzo Farnese is a prominent High Renaissance palace in Rome, which currently houses the French Embassy…

The royal Château de Chambord at Chambord, Loir-et-Cher, France is one of the most recognizable châteaux in the world because of its very distinct French Renaissance architecture that blends traditional French medieval forms with classical Italian structures. "The artistic influence of Italy came into operation in France sooner than in other European countries, for as early as the fifteenth century the Renaissance style was introduced there by Italian architects, as, for instance, by Fra Giocondo, who was summoned thither by Louis XII. But at the epoch the Flamboyant style was still in its vigour, and the buildings then erected could not extricate themselves from its influence. The consequence was that a blending of the two styles temporarily prevailed, as, for instance in the Château de Blois, which Louis XII. caused to be built, and which has lately been restored by Duban. It was in these country residences of the nobility, especially on the banks of the Loire, that this architectural activity was displayed during the earlier period of the Renaissance; amongst their number the Château de Chambord [shown here] is most worthy of notice. The pilasters and their mouldings of the Renaissance style were, it is true, somewhat rudely carried out, and in the earlier period were combined with certain elements of the Flamboyant style. Highly ornamental gables and dormer-windows. especially, were executed in the latter style. Buildings were contemporaneously constructed entirely in the Flamboyant style, as, for instance, the Cathedral, the Palais de Justice, and the Hâtel Bourgtheroulde, all at Rouen, and the Hâtel de Ville at Compiègne."

Château de Chambord

The royal Château de Chambord at Chambord, Loir-et-Cher, France is one of the most recognizable…

The Musée du Louvre or officially the Grand Louvre — in English, the Louvre Museum or Great Louvre, or simply the Louvre — is the national museum of France, the most visited museum in the world, and a historic monument. It is a central landmark of Paris, located on the Right Bank of the Seine in the 1st arrondissement (neighborhood). Nearly 35,000 objects from the 6th century BC to the 19th century are exhibited over an area of 60,600 square meters (652,300 square feet).Charles Le Brun (February 24 1619 – February 22 1690) was a French painter and art theorist, one of the dominant artists in 17th century France."Little by little a method of ornamentation was introduced by successive decorators and architects, which was eminently suited to the French taste. Androuet Du Cercean and Jean Lepautre are especially noticeable as representatives of this school of establishment. The sumptuous Apollo Gallery in the Louvre is a characteristic example of the productions of the latter. [This image] exhibits a portion of the system of decoration which pervades the whole gallery."

Fragment from the Apollo Gallery in the Louvre at Paris

The Musée du Louvre or officially the Grand Louvre — in English, the Louvre Museum or Great Louvre,…

The Musée du Louvre or officially the Grand Louvre — in English, the Louvre Museum or Great Louvre, or simply the Louvre — is the national museum of France, the most visited museum in the world, and a historic monument. It is a central landmark of Paris, located on the Right Bank of the Seine in the 1st arrondissement (neighborhood). Nearly 35,000 objects from the 6th century BC to the 19th century are exhibited over an area of 60,600 square meters (652,300 square feet)."Du Cerceau, who flourished during the reign of Henry IV., connected the block of buildings which belong to the Louvre, and had been constructed under Catherine dei Medici, by a gallery with the Tuileries [shown here]. This architect abandoned the characteristic feature of the French Renaissance, which had prevailed hitherto, namely, of giving its peculiar columnar order to each storey, and assimilated his designs to those of the late Roman Renaissance, in which a striking effect was produced at the expense of truth by continuous columns and pilasters extending over several storeys and rows of windows."

Flore Pavilion and part of the Gallery of the Louvre

The Musée du Louvre or officially the Grand Louvre — in English, the Louvre Museum or Great Louvre,…

The Musée du Louvre or officially the Grand Louvre — in English, the Louvre Museum or Great Louvre, or simply the Louvre — is the national museum of France, the most visited museum in the world, and a historic monument. It is a central landmark of Paris, located on the Right Bank of the Seine in the 1st arrondissement (neighborhood). Nearly 35,000 objects from the 6th century BC to the 19th century are exhibited over an area of 60,600 square meters (652,300 square feet)."Du Cerceau, who flourished during the reign of Henry IV., connected the block of buildings which belong to the Louvre, and had been constructed under Catherine dei Medici, by a gallery with the Tuileries. This architect abandoned the characteristic feature of the French Renaissance, which had prevailed hitherto, namely, of giving its peculiar columnar order to each storey, and assimilated his designs to those of the late Roman Renaissance, in which a striking effect was produced at the expense of truth by continuous columns and pilasters extending over several storeys and rows of windows.Although Du Cerceau was obligated to leave France in the year 1604, the impulse which he had given in the direction of the above-mentioned manner led to its being generally adopted. The new buildings were more correct, but less picturesque than those built during the earlier period of the French Renaissance, and a certain insipidity seems to characterize the various structures erected during the reigns of Henry IV., and especially Louis XIII. As is shown [here], a combination of free-stone and brick was restored to in such a way that the former was employed for the mouldings, and for the quoins and dressings of the doors and windows, whilst brick was used for the spaces between. In the case of the windows the free-stone introduced assumed the forms of quoins. If ornamentation had been previously excessive, it now retired into the background, and was only employed in moderation; and the method of its treatment began to be distinguished from that of the former period. The forms of the details above all began to lose in purity: rustications were inappropriately introduced in the walls and columns, and the roofs were made high and steep, which gave the rest of the building a heavy and squat appearance, whilst the numerous turret-shaped chimneys, which were necessitated by these high roofs, formed a peculiar feature in the construction."

Paris, Royal Palace Façade

The Musée du Louvre or officially the Grand Louvre — in English, the Louvre Museum or Great Louvre,…

The Château de Beaumesnil was begun in 1633 by Jacques de Nonant for his wife Marie Dauvet Desmaret. Construction lasted until 1640. Today, Beaumesnil is a commune, the lowest level of administrative division in the French Republic, in the Eure department in Haute-Normandie in northern France. "Although Du Cerceau was obligated to leave France in the year 1604, the impulse which he had given in the direction of the above-mentioned manner led to its being generally adopted. The new buildings were more correct, but less picturesque than those built during the earlier period of the French Renaissance, and a certain insipidity seems to characterize the various structures erected during the reigns of Henry IV., and especially Louis XIII. As is shown [here], a combination of free-stone and brick was restored to in such a way that the former was employed for the mouldings, and for the quoins and dressings of the doors and windows, whilst brick was used for the spaces between. In the case of the windows the free-stone introduced assumed the forms of quoins. If ornamentation had been previously excessive, it now retired into the background, and was only employed in moderation; and the method of its treatment began to be distinguished from that of the former period. The forms of the details above all began to lose in purity: rustications were inappropriately introduced in the walls and columns, and the roofs were made high and steep, which gave the rest of the building a heavy and squat appearance, whilst the numerous turret-shaped chimneys, which were necessitated by these high roofs, formed a peculiar feature in the construction. The Roccoco, or Baroque Style, was beginning at the same time to exert its influence. Commencing from the second half of the seventeenth century, this new architectural deviation became prevalent in all civilized countries, owing to the splendor and influence of the French power and manners, and the influence of Italian art was consequently paralyzed. [This image] gives a characteristic example of French architecture of this period of the Later Renaissance, showing the peculiarities which have been described above."

Château de Beaumesnil

The Château de Beaumesnil was begun in 1633 by Jacques de Nonant for his wife Marie Dauvet Desmaret.…

The Palace of Versailles, or simply Versailles, is a royal château in Versailles, the île-de-France region of France. In French, it is known as the Château de Versailles."It was principally the above-mentioned system of Roccoco decoration and architectural detail which characterized the architecture of the time of Louis XV.; it is, consequently, sometimes designated as the style of Louis XV. [This image] gives a portion of an interior drawn in perspective.""Internal arrangement and decoration are the main characteristics of the style of this period, and in this direction the best results were doubtless produced. Large and lofty rooms, as well as scope for display, were indispensable; consequently this style of embellishment was most happily carried out in each state apartments, especially in the princely castles and palaces, or, as the French call them, the "Hôtels" of the aristocracy."

Saloon in the Palace of Versailles

The Palace of Versailles, or simply Versailles, is a royal château in Versailles, the île-de-France…

The Palace of Versailles, or simply Versailles, is a royal château in Versailles, the île-de-France region of France. In French, it is known as the Château de Versailles. "It was principally the above-mentioned system of Roccoco decoration and architectural detail which characterized the architecture of the time of Louis XV.; it is, consequently, sometimes designated as the style of Louis XV." This image depicts the entire wall. "Internal arrangement and decoration are the main characteristics of the style of this period, and in this direction the best results were doubtless produced. Large and lofty rooms, as well as scope for display, were indispensable; consequently this style of embellishment was most happily carried out in each state apartments, especially in the princely castles and palaces, or, as the French call them, the "Hôtels" of the aristocracy."

Saloon in the Palace of Versailles

The Palace of Versailles, or simply Versailles, is a royal château in Versailles, the île-de-France…

Georges d'Amboise (1460 – May 25, 1510) was a French Roman Catholic cardinal and minister of state. He belonged to the house of Amboise, a noble family possessed of considerable influence: of his nine brothers, four were bishops. His father, Pierre d'Amboise, seigneur de Chaumont, was chamberlain to Charles VII and Louis XI and ambassador at Rome. Georges' eldest brother, Charles, was governor of the île-de-France, Champagne and Burgundy, and councillor of Louis XI. This image "represents a characteristic specimen of French Renaissance decoration".

Tomb of Cardinal d'Amboise at Rouen

Georges d'Amboise (1460 – May 25, 1510) was a French Roman Catholic cardinal and minister of state.…

"The French town houses differ, moreover, essentially in entire design, which influences their style, from those of other countries. This remark does not apply to those houses which are calculated for one family only, nor to the palatial residences of the nobility and plutocracy, which the French call Hôtels. This difference partly consists in the universal employment of the ground-floor as shops, which are only separated from the street by an opening which is glazed over and supported by individual iron girders. The whole façade consequently appears rather to be suspended in the air than supported architecturally. Over the shop, there is almost always an entresol, that is to say, a low storey between the ground floor and the first storey. The restriction to a certain height which the façade may not exceed has a determinating influence on the form of the topmost portion of the building, inasmuch as above this height the façade is terminated by an offset which slopes backwards over the upper storey [shown here]. Projecting balconies are, moreover, usual along the whole length of the façades, making the divisions into storeys. When these balconies are not met with, the windows of each storey come down to the top of the storey below, or at any rate nearly so, and have iron balustrades in front of them; this construction is partly owing to the storeys from their great number being so low that without this remedy the windows would appear too small and badly proportioned. The lowness of the storeys necessarily exercises a prejudicial effect on the architectural beauty of the façades; so that it is difficult to impart any structural significance to the houses, which consequently only convey and sense of beauty through their details."

Façade of a House in Paris

"The French town houses differ, moreover, essentially in entire design, which influences their style,…

The microgadus tomcod, also commonly known as tommy cod or tomcod (poulamon or petit poisson des chenaux in French), Atlantic tomcod or winter cod, is a type of cod fish found in North American coastal waters from the Gulf of St. Lawrence, St. Lawrence River and northern Newfoundland, south to Virginia.

Tomcod

The microgadus tomcod, also commonly known as tommy cod or tomcod (poulamon or petit poisson des chenaux…

"Fulmarus. Fulmar. Adult: White; mantle pale pearly-blue, restricted to back and wings, or extending on head and tail; usually a dark spot in front of eye; quills dark ashy-brown. Bill yellow, tinged with sea-green on culmen and lower mandible, the opening of the nostrils black; feet drying dingy yellowish, said to be delicate French gray in life; iris brown." Elliot Coues, 1884

Fulmar and Nest

"Fulmarus. Fulmar. Adult: White; mantle pale pearly-blue, restricted to back and wings, or extending…

The amphitheater of Arles is a roman amphitheater in the southern French town of Arles. It is still in use today.

The Amphitheater of Arles

The amphitheater of Arles is a roman amphitheater in the southern French town of Arles. It is still…

The Cathedral of Rheims is also known as Notre-Dame de Rheims in French. It is a Roman Catholic Cathedral, located in Rheim, France. It was the site of where the Kings of France were once crowned. The Cathedral was completed during the end of the 13th century.

Cathedral of Rheims

The Cathedral of Rheims is also known as Notre-Dame de Rheims in French. It is a Roman Catholic Cathedral,…

The Metz Cathedral is also known as the St. Etienne de Metz in French. It is a Roman Catholic church located in Moselle, France. The interior nave shown in this picture, is the center aisle that leads to the altar, it is the third highest in France.

Metz Cathedral

The Metz Cathedral is also known as the St. Etienne de Metz in French. It is a Roman Catholic church…

The Walls of Carcassonne fortify the French town of Carcassonne in France. It was fortified on a hilltop by the Romans in 100 BC.

Walls of Carcassonne

The Walls of Carcassonne fortify the French town of Carcassonne in France. It was fortified on a hilltop…

The ruins of Coucy are what remains of a castle built in about the year 1230 by Enguerrand III, Lord of Coucy. The castle is located in the commune of Coucy-le-Chateau-Auffrique. It was renovated by Eugène Viollet-le-Duc in the 19th century. The castle use to have four towers, however, they were demolished during World War I by German troops.

Ruins of Coucy

The ruins of Coucy are what remains of a castle built in about the year 1230 by Enguerrand III, Lord…

"In this city many individual tendencies are perceptible, but the predominant inclination is toward the Italian Renaissance . The new Opera-House, built by Van der Nüll and Siccardsburg, forms an exception to this rule, the design and forms of which were copied from the Early French Renaissance, with its narrow moulding and flat elliptical arches. On the other hand, the models of the thirteenth and fourteenth centuries are chosen for churches built in the Gothic style. In its richest phase this is seen in the memorial church, built by Ferstel; and in its poorest aspect, and divested of all the ornamental details necessary to produce a good effect, in the Lazaristen Kirche, built by Schmidt, one of the most important representatives of the Gothic style, and at the same time an advocate in word and deed for its reintroduction." The Votivkirche in Vienna, Austria, is one of the most important neo-Gothic religious architectural sites in the world.

Vienna, Memorial Church

"In this city many individual tendencies are perceptible, but the predominant inclination is toward…

"In this city many individual tendencies are perceptible, but the predominant inclination is toward the Italian Renaissance . The new Opera-House, built by Van der Nüll and Siccardsburg, forms an exception to this rule, the design and forms of which were copied from the Early French Renaissance, with its narrow moulding and flat elliptical arches. On the other hand, the models of the thirteenth and fourteenth centuries are chosen for churches built in the Gothic style. In its richest phase this is seen in the memorial church, built by Ferstel; and in its poorest aspect, and divested of all the ornamental details necessary to produce a good effect, in the Lazaristen Kirche, built by Schmidt, one of the most important representatives of the Gothic style, and at the same time an advocate in word and deed for its reintroduction."The Lazaristenkirche is a Roman Catholic church building in the 7th district of Vienna, Neubau.

Lazarist Church at Vienna

"In this city many individual tendencies are perceptible, but the predominant inclination is toward…

John Jay born December 1745 was an American politician, statesman, revolutionary, diplomat, a Founding Father of the United States. He was President of the Continental Congress from 1778 to 1779 and, from 1789 to 1795, the first Chief Justice of the United States. During and after the American Revolution, he was ambassador to Spain and France. He helped to form American foreign policy and secured favorable peace terms from the British and French with the Jay Treaty. He co-wrote the Federalist Papers with Alexander Hamilton and James Madison. Jay was Governor of New York from 1795 to 1801 and aleading opponent of slavery. His first two attempts to pass emancipation legislation failed in 1777 and 1785, but the third succeeded in 1799. The new law he signed into existence eventually saw the emancipation of all New York slaves before his death.

John Jay

John Jay born December 1745 was an American politician, statesman, revolutionary, diplomat, a Founding…

Marquis de la Fayette (or Lafayette), born September 1757 was a French military officer born in the province of Auvergne in south central France. Lafayette was a general in the American Revolutionary War and a leader of the Garde Nationale during the French Revolution. In the American Revolution, Lafayette served in the Continental Army under George Washington. Although wounded during the Battle of Brandywine, he still managed to organize a successful retreat. He served faithfully thourghout the American Revolution. Lafayette was widely commemorated in the U.S. In 1824, the U.S. government named Lafayette Park in his honor. Lafayette College was chartered in Easton, Pennsylvania. Lafayette was honored with a monument in New York City in 1917. Portraits display Washington and Lafayette in the chamber of the U.S. House of Representatives. Numerous towns and cities across the United States were named in his honor.

Gilbert Mottier De LaFayette

Marquis de la Fayette (or Lafayette), born September 1757 was a French military officer born in the…

An ellipse French curve, or irregular curve, is used to draw short elliptical radius curves by using points.

Ellipse Curve French Curves

An ellipse French curve, or irregular curve, is used to draw short elliptical radius curves by using…

A Logarithmic Spiral French curve, or irregular curve, is used to draw short elliptical radius curves by using points. The log curve is approximately closely shaped to a cycloid and other mathematical curves.

Logarithmic Spiral Curve French Curves

A Logarithmic Spiral French curve, or irregular curve, is used to draw short elliptical radius curves…

A Polar Spiral French curve, or irregular curve, is used to draw engineering diagrams and steam curves, and is plotted by using the polar equation.

Polar Curve French Curves

A Polar Spiral French curve, or irregular curve, is used to draw engineering diagrams and steam curves,…

The illustration shows the finger position of the compass after the revolution. — French, 1911

Compass Finger Position

The illustration shows the finger position of the compass after the revolution. — French, 1911

"Circles up to perhaps three inches in diameter may be drawn with the legs straight but for larger sizes both the needle-point and the pencil leg should be at the knuckle joints so as to be perpendicular to the paper." — French, 1911

Drawing Large Circles with Compass

"Circles up to perhaps three inches in diameter may be drawn with the legs straight but for larger sizes…

Bow instruments can be used for drawing small circles. Hold the the left hand and spin the nut in or out with the finger to avoid wear and stripping the thread. "Small adjustments should be made with one hand, with needle point in position on the paper." — French, 1911

Drawing Small Circles with Bow Instrument

Bow instruments can be used for drawing small circles. Hold the the left hand and spin the nut in or…

"This distance should be thought of not as three inches but as a foot divided into inches and eighths of inches. It is noticed that this foot is divided with the zero on the inside, the inches running to the left and the feet to the right, so that dimensions given in feet and inches may be read directly, as 1 ft. 0 1/2"." —French, 1911

Scaling Drawing with Ruler

"This distance should be thought of not as three inches but as a foot divided into inches and eighths…

"The pen should be held with the thumb and second finger in such position that they may be used in turning the adjusting screw, and the handle resting on the forefinger." —French, 1911

Holding the Pen

"The pen should be held with the thumb and second finger in such position that they may be used in turning…

A French Curve is used by connecting sufficient points to sketch a curve. The sketch should be line lightly with pencil, without losing points, until the a smooth line is drawn.

Using French Curve

A French Curve is used by connecting sufficient points to sketch a curve. The sketch should be line…

"Through the center of the space draw a horizontal and a vertical line, measuring on these lines as diameters lay off a three-inch square. Along the lower side and the upper half of the left side measure 3/8' spaces with the scale. Draw all horizontal lines with the T-square and all vertical lines with the T-square and triangle." —French, 1911

Drawing Exercise for T-square, Triangle, and Scale

"Through the center of the space draw a horizontal and a vertical line, measuring on these lines as…

"Draw three-inch square. Draw lines AB, BC, DE and EF at 30 degrees. Divide lower side into seven equal parts with the dividers. Draw the vertical lines, and mark divisions on AC with pencil as each line is drawn. Through the division points on top and bottom draw the converging lines using the triangle alone as a straight-edge." —French, 1911

Drawing Converging Lines

"Draw three-inch square. Draw lines AB, BC, DE and EF at 30 degrees. Divide lower side into seven equal…

"Through the center of the space draw the three construction lines, AB vertical, DE and FG at 30 degrees. Measure CA and CB 1 1/2" long. Draw AE, AF, DB and BG at 30 degrees. Complete hexagon by drawing DF and GE vertical. Set spacers to 3/32". Step off 3/32" on each side of the center lines, and 3/16" from each side of hexagon. Complete figure as shown with triangle against T-square." —French, 1911

Drawing Hexagonal Figure

"Through the center of the space draw the three construction lines, AB vertical, DE and FG at 30 degrees.…

"An exercise in starting and stopping short lines. Draw three-inch square. Draw diagonals with 45-degree triangle. With scale lay off 3/8" spaces along the diagonals, from their intersection. With 45-degree triangle complete figure, finishing one-quarter at a time." —French, 1911

Drawing Street Paving Intersection

"An exercise in starting and stopping short lines. Draw three-inch square. Draw diagonals with 45-degree…

"Draw three-inch square and one-inch square. From the corners of inner square draw lines to outer square at 15 degrees and 75 degrees, with the two triangles in combination. Mark points with spacers 3/16" inside of each line of this outside cross, and complete figure with triangles in combination." —French, 1911

Drawing Maltese Cross using T-square, Spacers, and Triangles

"Draw three-inch square and one-inch square. From the corners of inner square draw lines to outer square…

"Draw Horizontal line throuch center of space. On it mark off radii for six concentric circles 1/4" apart. In drawing concentric circles always draw the smallest first. The dotted circles are drawn in in pencil with long dashes, and inked as shown." —French, 1911

Drawing Concentric Circles with Compass

"Draw Horizontal line throuch center of space. On it mark off radii for six concentric circles 1/4"…

"On horizontal center line mark off eleven points 1/4" apart, beginning at left side of space. Draw horizontal limiting lines (in pencil only) 1 1/2" above and below center line." —French, 1911

Drawing Concentric Arcs with Compass

"On horizontal center line mark off eleven points 1/4" apart, beginning at left side of space. Draw…

"On horizontal center line mark off eight points 3/8" apart, beginning at right side of space." —French, 1911

Drawing Concentric Arcs with Compass and Lengthening Bar

"On horizontal center line mark off eight points 3/8" apart, beginning at right side of space." —French,…

"Draw a circle three inches in diameter. Divide the circumference into five equal parts by trial with dividers. From these points draw radial lines and divide each into four equal parts with spacers. With these points as centers draw the semicircles as shown The radial lines are not to be inked." —French, 1911

Drawing Tangent Arcs with Compass and Dividers

"Draw a circle three inches in diameter. Divide the circumference into five equal parts by trial with…

"On base AB, 3 1/2" long construct an equilateral triangle, using the 60-degree triangle. Bisect the angles with the 30-degree angle, extending the bisectors to the opposite sides. With these middle points of the sides as centers and radius equal to 1/2 the side, draw arcs cutting the bisectors. These intersection will be centers for the inscribed circles. With centers on the intersection of these circles and the bisectors, round off the points of the triangle as shown." —French, 1911

Drawing Tangent Circles and Lines with Compass and Triangles

"On base AB, 3 1/2" long construct an equilateral triangle, using the 60-degree triangle. Bisect the…

"Draw one and one-half inch square about center of space. Divide AE into four 3/16" spaces, with scale. With bow pencil and centers A, B, C, D draw four semicircles with 3/8" radius and so on. Complete the figure by drawing the horizontal and vertical tangents as shown." —French, 1911

Drawing Tangent to Circle Arcs with Bow Compass

"Draw one and one-half inch square about center of space. Divide AE into four 3/16" spaces, with scale.…

"ABCD to a new base A'B'. With radii AC and BC describe intersection arcs from centers A'B', locating the point C'. Similarly with radii AD and BD locate the point D'. Connect BC and CD, and continue the operation." —French, 1911

Transfer Polygon

"ABCD to a new base A'B'. With radii AC and BC describe intersection arcs from centers A'B', locating…

"Draw the diagonals of the square. With the corners of the square as centers and radius of half the diagonal draw arcs intersecting the sides of the square and connect these points." —French, 1911

Inscribe Regular Octagon in Given Square

"Draw the diagonals of the square. With the corners of the square as centers and radius of half the…

"Join AB and BC, bisect AB and BC by perpendiculars. Their intersection will be the center of the required circle." —French, 1911

Draw Circular Arc Through Three Given Points

"Join AB and BC, bisect AB and BC by perpendiculars. Their intersection will be the center of the required…

"Draw lines parallel to AB and CD at distant R from them. The intersection of these lines will be center of the required arc." —French, 1911

Draw Arc of Given radius R Tangent to Two Given Lines

"Draw lines parallel to AB and CD at distant R from them. The intersection of these lines will be center…

"At A draw the tangent AD and Chord AB produced. Lay off AC equal to half the chord AB. With center C and radius CB draw an arc intersecting AB at E, then AE will be equal in length be to the arc AB." —French, 1911

Approximating Length of Circle Arc using Straight Line

"At A draw the tangent AD and Chord AB produced. Lay off AC equal to half the chord AB. With center…

"In ordinary work the usual way of rectifying an arc is to step around it with the dividers, in spaces small enough as practically to coincide with the arc, and to step off the same number on the right line." —French, 1911

Rectifying Arc Using Dividers

"In ordinary work the usual way of rectifying an arc is to step around it with the dividers, in spaces…

"Join A and D. Lay off DF equal to AC-DC. Bisect AF by a perpendicular crossing AC at G and intersecting DE produced at H. Make CG' equal to CG and CH' equal to CH. Then G, G', H, and H' will be centers for four arcs approximating the ellipse. The half of this ellipse when used in masonry construction is known as the three-centered arch." —French, 1911

Approximate Ellipse with Four Centers

"Join A and D. Lay off DF equal to AC-DC. Bisect AF by a perpendicular crossing AC at G and intersecting…

"This (five centered arc) method is based on the principle that the radius of curvature at the end of the minor axis is the third proportional to the semi-minor and semi-major axes, and similarly at the end of the major axis is the third proportional to the semi-major and semi-minor axes. The intermediate radius found is the mean proportional between these two radii." —French, 1911

Approximate Ellipse with Five Centered Arc

"This (five centered arc) method is based on the principle that the radius of curvature at the end of…

"When the minor axis is at least two-thirds the major, the following method ma be used: Make CF and CG equal to AB-DE. Make CH and CI equal to 3/4 CF F, G, H, I will be centers for arcs E, D, B, and A." —French 1911

Approximate Ellipse using Lines

"When the minor axis is at least two-thirds the major, the following method ma be used: Make CF and…

"Any noncircular curve may be approximated by tangent circle arcs, selecting a center by trial, drawing as much of an arc as will practically coincide with the curve, then changing the center and radius for the next portion, remembering always that if arcs are to be tangent, their centers must lie on the common normal at the point of tangency." —French 1911

Curve Inked with Circle Arcs

"Any noncircular curve may be approximated by tangent circle arcs, selecting a center by trial, drawing…

A parabola can be constructed by using the parallelogram method of ellipses. —French, 1911

Constructing Parabola using Parallelogram

A parabola can be constructed by using the parallelogram method of ellipses. —French, 1911

"Let OA and OB be the asymptotes and P a point on the curve. Draw PC and PD. Mark any points on Pc; through these points draw ordinates parallel to OA and through the same points lines to O. At the intersection of these lines with PD draw abscissæ with the ordinates give points on the curve." —French, 1911

Drawing Rectangular Hyperbola

"Let OA and OB be the asymptotes and P a point on the curve. Draw PC and PD. Mark any points on Pc;…

"A cycloid is the curve generated by the motion of a point on the circumference of a circle rolled along a straight line." —French, 1911

Cycloid

"A cycloid is the curve generated by the motion of a point on the circumference of a circle rolled along…

"An involute is a curve generated by unwrapping an inflexible chord from around a polygon. Thus the involute of any polygon may be drawn by extending its sides, and with the corners of the polygon as successive centers drawing the tangent arcs." —French, 1911

Involute of Pentagon

"An involute is a curve generated by unwrapping an inflexible chord from around a polygon. Thus the…