An illustration showing the construction used to erect an equal angle. "With D as a center, draw the dotted arc CE: and with the same radius and B as a center, draw the arc GF; then make GF equal to CE; then join BF, which will form the required angle, FBG=CDE."

Construction Of An Equal Angle

An illustration showing the construction used to erect an equal angle. "With D as a center, draw the…

An illustration showing the construction used to divide an angle into two equal parts. "With C as a center, draw the dotted arc DE; with D and E as centers, draw the cross arcs at F with equal radii. Join CF, which divides the angle into the required parts."

Construction Of A Divided Angle

An illustration showing the construction used to divide an angle into two equal parts. "With C as a…

An illustration showing the construction used to divide an angle into two equal parts when the lines do not extend to a meeting point. "Draw the lined CD and CE parallel, and at equal distances from the lines AB and FG. With C as a center, draw the dotted arc BG; and with B and G as centers, draw the cross arcs H. Join CD, which divides the angle into the required equal parts."

Construction Of A Divided Angle

An illustration showing the construction used to divide an angle into two equal parts when the lines…

An illustration showing the construction used to erect a parallelogram given two sides and an angle. "Draw the base line DE, and make the angle FDE = C; lines DE = B and DF = A; complete the parallelogram by cross arcs at G, and the problem is thus solved."

Construction Of A Parallelogram

An illustration showing the construction used to erect a parallelogram given two sides and an angle.…

An illustration showing how to construct the center and radius of a circle that will tangent a given circle. "Through the given point C, draw the tangent GF; bisect the angle FGE; then o is the center of the required circle that will tangent AB at C, and the line DE."

Construction Of A Center And Radius Of A Circle That Will Tangent A Given Circle

An illustration showing how to construct the center and radius of a circle that will tangent a given…

An illustration showing how to construct a circle that tangents two given lines and goes through a given point c on the line FC, which bisects the angle of the lines. "Through C draw AB at right angles to CF; bisect the angles DAB and EBA, and the crossing on CF is the center of the required circle."

Construction Of A Circle That Tangents 2 Given Lines And Goes Through A Given Point

An illustration showing how to construct a circle that tangents two given lines and goes through a given…

An illustration showing how to construct an isometric ellipse by compass and six circle arcs. "Divide OA and OB each into three equal parts; draw the quadrant AC. From C, draw the line Cc through the point 1. Through the points 2 draw de at an angle of 45° with the major axis. Then 2 is the center for the ends of the ellipse; e is the center for the arc dc; and C is the center for the arc cf."

Construction Of An Isometric Ellipse

An illustration showing how to construct an isometric ellipse by compass and six circle arcs. "Divide…

A detached triangular work in fortification, with two embankments which form a projecting angle. In the figure B B is the ravelin with A its redout, and CC its ditch, DD being the main ditch of the fortress,and E the passage giving access from the fortress to the ravelin.

Ravelin

A detached triangular work in fortification, with two embankments which form a projecting angle. In…

In field fortification, the simplest kind of work employed, consisting of two parapets of earth raised so as to form a salient angle, with the apex towards the enemy and unprotected on the rear. Several redans connected by curtains form lines of intrenchment.

Redans

In field fortification, the simplest kind of work employed, consisting of two parapets of earth raised…

An illustration showing how to use isometric perspective. "This kind of perspective admits of scale measurements the same as any ordinary drawing, and gives a clear representation of the object. It is easily learned. All horizontal rectangular lines are drawn at an angle of 30°. All circles are ellipses of proportion, as shown."

Construction Using Isometric Perspective

An illustration showing how to use isometric perspective. "This kind of perspective admits of scale…

An illustration showing how to construct an ellipse parallel to two parallel lines A and B. "Draw a semicircle on AB, draw ordinates in the circle at right angle to AB, the corresponding and equal ordinates for the ellipse to be drawn parallel to the lines, and thus the elliptic curve is obtained as shown by the figure."

Construction Of An Ellipse Tangent To Two Parallel Lines

An illustration showing how to construct an ellipse parallel to two parallel lines A and B. "Draw a…

An illustration showing how to construct an evolute of a circle. "Given the pitch p, the angle v, and radius r. Divide the angle v into a number of equal parts, draw the radii and tangents for each part, divide the pitch p into an equal number of equal parts, then the first tangent will be one part, second two parts, third three parts, etc., and so the Evolute is traced."

Construction Of An Evolute Of A Circle

An illustration showing how to construct an evolute of a circle. "Given the pitch p, the angle v, and…

An illustration showing how to construct a parabola. "Given the vertex A, axis x, and a point P. Draw AB at right angle to x, and BP parallel to x, divide AB and BP into an equal number of equal parts. From the vertex A draw lines to the divisions on BP, from the divisions on AB draw the ordinates parallel to x, the corresponding intersections are points in the parabola."

Construction Of A Parabola

An illustration showing how to construct a parabola. "Given the vertex A, axis x, and a point P. Draw…

An illustration showing how to construct a parabola. "Given the axis of ordinate B, and vertex A. Take A as a center and describe a semicircle from B which gives the focus of the parabola at f. Draw any ordinate y at right angle to the abscissa Ax, take a as radius and the focus f as a center, then intersect the ordinate y, by a circle-arc in P which will be a point in the parabola. In the same manner the whole Parabola is constructed."

Construction Of A Parabola

An illustration showing how to construct a parabola. "Given the axis of ordinate B, and vertex A. Take…

An illustration showing how to construct an arithmetic spiral. "Given the pitch p and angle v, divide them into an equal number of equal parts, say 6; make 01 = 01, 02 = 02, 03 = 03, 04 = 04, 05 = 05, and 06 = the pitch p; then join the points 1, 2, 3, 4, 5 and 6, which will form the spiral required."

Construction Of An Arithmetic Spiral

An illustration showing how to construct an arithmetic spiral. "Given the pitch p and angle v, divide…

An illustration showing a circle sector with radius r, center/central angle v, and length of circle arc b.

Circle Sector

An illustration showing a circle sector with radius r, center/central angle v, and length of circle…

An illustration showing a circle sector with center/central angle v and polygon angle w.

Circle Sector

An illustration showing a circle sector with center/central angle v and polygon angle w.

An illustration showing a circle sector with height of segment h and radius r.

Circle Sector

An illustration showing a circle sector with height of segment h and radius r.

An illustration showing a triangle with interior angles A, B, C, and exterior angles D, and A' + B'.

Exterior And Interior Angles Of A Triangle

An illustration showing a triangle with interior angles A, B, C, and exterior angles D, and A' + B'.

Four types of angles: right, obtuse, acute, and straight.

Angles

Four types of angles: right, obtuse, acute, and straight.

An illustration showing a model of a circle with an exterior angle formed between a tangent and a secant that illustrates the following geometric relationship: a:t = t:b, t&sup2 = ab

Model Of Geometric Relationships In A Circle

An illustration showing a model of a circle with an exterior angle formed between a tangent and a secant…

An illustration showing a model of a circle with angles formed between tangents and secants that illustrates the following geometric relationship: t&sup2 = (a + b)(a - b).

Model Of Geometric Relationships In A Circle

An illustration showing a model of a circle with angles formed between tangents and secants that illustrates…

An illustration showing a model of 2 circles with tangent lines, diameters, and radii that illustrates the following geometric relationship: "x = aR/(R - r), a = √(t&sup2 + (R - r)&sup2), t = √(a&sup2 - (R - r)&sup2, sin.v = t/a."

Model Of Geometric Relationships In 2 Circles

An illustration showing a model of 2 circles with tangent lines, diameters, and radii that illustrates…

An illustration showing a model of 2 circles with tangent lines, diameters, and radii that illustrates the following geometric relationship: " t = √(a&sup2 - (R + r)&sup2, a = √(t&sup2 - (R + r)&sup2 "

Model Of Geometric Relationships In 2 Circles

An illustration showing a model of 2 circles with tangent lines, diameters, and radii that illustrates…

The frontal section through the right shoulder joint of a boy. Arm abducted to a right angle.

Frontal Section Through Shoulder Joint

The frontal section through the right shoulder joint of a boy. Arm abducted to a right angle.

A horizontal section through the left shoulder joint of a boy. Arm abducted to a right angle.

Horizontal Section Through Shoulder Joint

A horizontal section through the left shoulder joint of a boy. Arm abducted to a right angle.

A view of the larynx showing the vocal ligaments. Labels: 1, The anterior edge of the larynx. 4, The posterior face of the thyroid cartilage. 5, The arytenoid cartilages. 6, The vocal ligaments. 7, The origin within the angle of the thyroid cartilage. 9, 10, The glottis.

A View of the Larynx Showing the Vocal Ligaments

A view of the larynx showing the vocal ligaments. Labels: 1, The anterior edge of the larynx. 4, The…

"Fern leaves, showing various degrees of subdivision or branching of the blade. A, Phyllitis; B, Polypodium; C, Pteris; D, Adiantum." -Gager, 1916

Fern Leaves

"Fern leaves, showing various degrees of subdivision or branching of the blade. A, Phyllitis; B, Polypodium;…

Sarcostyles from the wing muscle of a wasp. A, A'. A sarcostyles showing degrees of retraction. B. A sarcostyle extended with the sarcous element separated into two parts. C. Sarcostyles moderately extended.

Sarcostyles from Wasp

Sarcostyles from the wing muscle of a wasp. A, A'. A sarcostyles showing degrees of retraction. B. A…

The effect of heat on red blood cells up to 50-60 degrees C. (120-140 degrees F.) is to cause the formation of a number of bud-like processes.

Effect of Heat on Red Blood Cells

The effect of heat on red blood cells up to 50-60 degrees C. (120-140 degrees F.) is to cause the formation…

The elevation of the ribs is accompanied by a slight opening out of the angle which the bony part forms with its cartilage (A); and thus an additional means is provided for increasing the anteroposterior diameter of the chest.

Movement of Ribs in Inspiration

The elevation of the ribs is accompanied by a slight opening out of the angle which the bony part forms…

The modern decorative easel is a sloping frame with three or four legs. The front and rear are often connected by hinges to enable the angle of the slope to be altered. The front has a small board that can be adjusted to different heights by pins. Painters and sculptors used it, but it was often made as a decorative piece of furniture to hold pictures and portfolios.

Modern Decorative Easel

The modern decorative easel is a sloping frame with three or four legs. The front and rear are often…

Showing the changes in the thorax which follow scoliosis of the spine. The convexity of the spinal curvature is towards the right; on the side the ribs are sharply bent at their angles. On the concave (left) side their ribs have an open angle.

Changes in the Thorax following Scoliosis of the Spine

Showing the changes in the thorax which follow scoliosis of the spine. The convexity of the spinal curvature…

Showing different types of angles: right, acute, and obtuse.

Angles

Showing different types of angles: right, acute, and obtuse.

"Dip, in geology, the name given to the angle of slope of inclined rock strata, as dip in the diagram...The horizontal direction at right angles to the line of dip is called the strike, shown by st in the diagram." -Foster, 1921

Dip

"Dip, in geology, the name given to the angle of slope of inclined rock strata, as dip in the diagram...The…

"The White Ray is in the form of a rhomb, the point of the muzzle forming the lower angle, the longest ray of each pectoral forming the lateral angles, while the summit of the tail forms the last angle."

The White Ray (Raia Batis)

"The White Ray is in the form of a rhomb, the point of the muzzle forming the lower angle, the longest…

"The trunk appears to be composed of two parts, joined, and forming a more or less obtuse angle."

Trunk of the Meat-Fly

"The trunk appears to be composed of two parts, joined, and forming a more or less obtuse angle."

The side angle view of a person's head.

Head Profile

The side angle view of a person's head.

A print from the engraving, ""Fyshynge with an Angle" from 'The Book of St. Albans' printed by Wynkyn de Worde in 1496." -Cundall, 1895

Fyshynge with an Angle

A print from the engraving, ""Fyshynge with an Angle" from 'The Book of St. Albans' printed by Wynkyn…

Showing position of patella in relation to condyles of femur with knee flexed at a right angle.

Position of Patella in Relation to Condyles of Femur with Knee Flexed

Showing position of patella in relation to condyles of femur with knee flexed at a right angle.

Section of the eye, showing the relations of the cornea, sclera, and iris, together with the Ciliary muscle and the cavernous spaces near the angle of the anterior chamber.

Section of the Eye

Section of the eye, showing the relations of the cornea, sclera, and iris, together with the Ciliary…

The duodenojejunal fossa is formed where the duodenojejunal angle enters the root of the transverse mesocolon.

Duodenojejunal Fossa

The duodenojejunal fossa is formed where the duodenojejunal angle enters the root of the transverse…

Shown is norma frontalis, which refers to the front of the skull. Labels: 1, mental protuberance; 2, body of lower jaw; 3, ramus of lower jaw; 4, anterior nasal spine; 5, canine fossa; 6, infraorbital canal; 7, malar canal; 8 orbital surface of superior maxilla; 9, temporal fossa; 10, os planum of ethmoid; 11, sphenoidal fissure; 12, lachrymal bone and groove; 13, optic foramen; 14, orbital foramina; 15, temporal ridge; 16, supraorbital notch; 17, glabella; 18, frontal eminence; 19, superciliary ridge; 20, parietal bone; 21, front-nasal suture; 22, pterion; 23, great wing of sphenoid; 24, orbital surface of great wing of sphenoid; 25, squamous temporal; 26, left nasal bone; 27, malar bone; 28, sphenomaxillary fissure; 29, zygomatic arch; 30, anterior nasal aperture, displaying nasal septum and inferior and middle turbinated bones; 31, mastoid process; 32, incisor fossa; 33, angle of jaw; 34, mental foramen; 35, symphysis.

Front of the Skull

Shown is norma frontalis, which refers to the front of the skull. Labels: 1, mental protuberance; 2,…

An view of Hot Springs, Arkansas which is nestled in a valley between two mountains. Hot Springs is traditionally known for the natural spring water that gives it its name, flowing out of the ground at a temperature of 147 degrees Fahrenheit. Also is the home town of former President Bill Clinton.

Hot Springs, Arkanasas

An view of Hot Springs, Arkansas which is nestled in a valley between two mountains. Hot Springs is…

Hugh Latimer (c. 1485-October 16, 1555) was the bishop of Worcester, and by his death he became a famous martyr among Protestants and the Church of England. From around 14 years of age he started to attend Peterhouse, Cambridge, and was known as a good student. After receiving his academic degrees and being ordained, he developed a reputation as a very zealous Roman Catholic. At first he opposed the Lutheran opinion of his day, but his views changed after meeting the clergyman Thomas Bilney.

Bishop Hugh Latimer

Hugh Latimer (c. 1485-October 16, 1555) was the bishop of Worcester, and by his death he became a famous…

A church was established on this site, at the centre of the old walled city, in Anglo Saxon times. St Mary's has one of the most beautiful spires in England and an eccentric baroque porch, designed by Nicholas Stone, facing High Street. In the early days of Oxford University, the church was adopted as the first building of the university, congregation met there from at least 1252, and by the early 13th century it was the seat of university government and was used for lectures and the award of degrees.

Porch of St. Mary's, Oxford

A church was established on this site, at the centre of the old walled city, in Anglo Saxon times. St…

A contour about to cross a stream runs up one side and down the other, making a V where it crosses, the angle of the V pointing up stream. Contour lines representing spurs between stream lines are generally U shaped with the bottom or rounded part of the U pointing down hill.

Contour Lines

A contour about to cross a stream runs up one side and down the other, making a V where it crosses,…

Some knives have the handle placed at a right angle with the blade. The farmer in cutting hay from the haymow in his bard uses a large knife with such a right angle handle and calls it a hay-knife.

Hay Knife

Some knives have the handle placed at a right angle with the blade. The farmer in cutting hay from the…

One very useful knife has a long blade with a cutting edge on one side, and a handle at each end, placed a a right angle with the blade. Such a two-handled knife is called a draw knife, because it is used with both hands and is pulled or drawn forward in making a cut with a blade.

Draw Knife (Colonial Tool)

One very useful knife has a long blade with a cutting edge on one side, and a handle at each end, placed…

With the plane, one can make rough wood true, smooth and beautiful. The name plane, perhaps, comes from the work it does, for it is used to smooth or reduce wood to a true plane.

Core Box Plane

With the plane, one can make rough wood true, smooth and beautiful. The name plane, perhaps, comes from…

A diagram of a brewery. A brewery is a dedicated building for the making of beer, though beer can be made in the home, and has been for much of beer's history. A company which makes beer is called either a brewery or a brewing company. The diversity of size in breweries is matched by the diversity of processes, degrees of automation, and kinds of beer produced in breweries. Typically a brewery is divided into distinct sections, with each section reserved for one part of the brewing process.

Brewery Diagram

A diagram of a brewery. A brewery is a dedicated building for the making of beer, though beer can be…

A diagram of a tower brewery cellars. A brewery is a dedicated building for the making of beer, though beer can be made in the home, and has been for much of beer's history. A company which makes beer is called either a brewery or a brewing company. The diversity of size in breweries is matched by the diversity of processes, degrees of automation, and kinds of beer produced in breweries. Typically a brewery is divided into distinct sections, with each section reserved for one part of the brewing process.

Tower Brewery Cellars

A diagram of a tower brewery cellars. A brewery is a dedicated building for the making of beer, though…

Inferior maxilla of a horse-anterolateral view. Labels: a, body; b, b', rami; c, neck; d, mental foramen; e, buccinator; e', masseter surface; f, f', inner surface of ramus; g, molor alveoli; g', anterior border; g', bar, bounding diastema; h, h', h', posterior border. The angle lies between h' and h'; i, condyles; km coronoid processes; l, maxillary space; m, inferior dental foramen; n, sigmoid notch.

Inferior Maxilla of a Horse

Inferior maxilla of a horse-anterolateral view. Labels: a, body; b, b', rami; c, neck; d, mental foramen;…

Right cardiac bone of an ox. Labels: a, anterior angle; b, posterior angles; c, superior border; d, anterior border; e, posterior border; f, right surface.

Cardiac Bone of an Ox

Right cardiac bone of an ox. Labels: a, anterior angle; b, posterior angles; c, superior border; d,…

The Zöllner illusion is a classic optical illusion named after its discoverer, German astrophysicist Johann Karl Friedrich Zöllner. In this figure the black lines seem to be unparallel, but in reality they are parallel. The shorter lines are on an angle to the longer lines. This angle helps to create the impression that one end of the longer lines is nearer to us than the other end. This is very similar to the way the Wundt illusion appears. It may be that the Zöllner illusion is caused by this impression of depth.

Zollner Illusion

The Zöllner illusion is a classic optical illusion named after its discoverer, German astrophysicist…

The angle between the Union II and VI Corps became known as the "Bloody Angle of Spotsylvania", where perhaps some of the most savage fighting of the whole Civil War took place.

Bloody Angle of Spotsylvania

The angle between the Union II and VI Corps became known as the "Bloody Angle of Spotsylvania", where…

The chief advantages of the horizontal sundial are that it is easy to read, and the sun lights the face throughout the year. All the hour-lines intersect at the point where the gnomon's style crosses the horizontal plane. Since the style is aligned with the Earth's rotational axis, the style points true North and its angle with the horizontal equals the sundial's geographical latitude λ. A sundial designed for one latitude can be used in another latitude, provided that the sundial is tilted upwards or downwards by an angle equal to the difference in latitude. For example, a sundial designed for a latitude of 40° can be used at a latitude of 45°, if the sundial plane is tilted upwards by 5°, thus aligning the style with the Earth's rotational axis.

Horizontal Dial

The chief advantages of the horizontal sundial are that it is easy to read, and the sun lights the face…

A sundial is a device that measures time by the position of the Sun. In common designs such as the horizontal sundial, the sun casts a shadow from its style (a thin rod or a sharp, straight edge) onto a flat surface marked with lines indicating the hours of the day. As the sun moves across the sky, the shadow-edge progressively aligns with different hour-lines on the plate. Such designs rely on the style being aligned with the axis of the Earth's rotation. Hence, if such a sundial is to tell the correct time, the style must point towards true North (not the north or south magnetic pole) and the style's angle with horizontal must equal the sundial's geographical latitude.

Sundial

A sundial is a device that measures time by the position of the Sun. In common designs such as the horizontal…

A gravity escapement uses a small weight or a weak spring to give an impulse directly to the pendulum. The earliest form consisted of two arms which were pivoted very close to the suspension spring of the pendulum with one arm on each side of the pendulum. Each arm carried a small dead beat pallet with an angled plane leading to it. When the pendulum lifted one arm far enough its pallet would release the escape wheel. Almost immediately another tooth on the escape wheel would start to slide up the angle face on the other arm thereby lifting the arm. It would reach the pallet and stop. The other arm meanwhile was still in contact with pendulum and coming down again to a point lower than it had started from. This lowering of the arm provides the impulse to the pendulum. The design was developed steadily from the middle of the 18th century to the middle of the 19th century. It eventually became the escapement of choice for turret clocks.

Mudge's Gravity Escapement

A gravity escapement uses a small weight or a weak spring to give an impulse directly to the pendulum.…

A gravity escapement uses a small weight or a weak spring to give an impulse directly to the pendulum. The earliest form consisted of two arms which were pivoted very close to the suspension spring of the pendulum with one arm on each side of the pendulum. Each arm carried a small dead beat pallet with an angled plane leading to it. When the pendulum lifted one arm far enough its pallet would release the escape wheel. Almost immediately another tooth on the escape wheel would start to slide up the angle face on the other arm thereby lifting the arm. It would reach the pallet and stop. The other arm meanwhile was still in contact with pendulum and coming down again to a point lower than it had started from. This lowering of the arm provides the impulse to the pendulum. The design was developed steadily from the middle of the 18th century to the middle of the 19th century. It eventually became the escapement of choice for turret clocks.

Bloxam's Gravity Escapement

A gravity escapement uses a small weight or a weak spring to give an impulse directly to the pendulum.…