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Illustration used to show how to "draw a straight line through any given point on a given straight line to make any required angle with that line."

Construction Of Angle On Straight Line

Illustration used to show how to "draw a straight line through any given point on a given straight line…

Illustration used to show how to construct a bisector of an angle when the sides intersect within the limits of the drawing.

Bisect An Angle

Illustration used to show how to construct a bisector of an angle when the sides intersect within the…

Illustration used to show how to construct a bisector of an angle when the sides no not intersect within the limits of the drawing.

Bisect An Angle

Illustration used to show how to construct a bisector of an angle when the sides no not intersect within…

Illustration used to show how to bisect a given arc.

Bisecting an Arc

Illustration used to show how to bisect a given arc.

Illustration used to show how to "find an arc of a circle having a known radius, which shall be equal in length to a given straight line."

Construction Of Arc

Illustration used to show how to "find an arc of a circle having a known radius, which shall be equal…

Illustration used to show how to find the center when given an arc and its radius.

Construction Of Center

Illustration used to show how to find the center when given an arc and its radius.

Illustration used to construct a circle when given three points.

Construction of Circle Given 3 Points

Illustration used to construct a circle when given three points.

Illustration used to find the center of a circle.

Center of a Circle

Illustration used to find the center of a circle.

Illustration used to show how to pass a circumference through any three points not in the same straight line.

Construction Of Circumference

Illustration used to show how to pass a circumference through any three points not in the same straight…

Illustration of the construction used to bisect a given angle.

Construction of Bisecting a Given Angle

Illustration of the construction used to bisect a given angle.

Illustration of the construction used to bisect a given arc.

Construction of Bisecting a Given Arc

Illustration of the construction used to bisect a given arc.

Illustration of the construction used to bisect a given line.

Construction of Bisecting a Given Line

Illustration of the construction used to bisect a given line.

Illustration used to construct a circle when given two points that it passes through and a radius.

Construction of a Circle When Given Two Points and a Radius

Illustration used to construct a circle when given two points that it passes through and a radius.

Illustration of a triangle with its incircle and three excircles constructed.

Triangle With Circle Constructions

Illustration of a triangle with its incircle and three excircles constructed.

Illustration of the construction used to circumscribe a circle about a given triangle.

Construction to Circumscribe a Circle About a Triangle

Illustration of the construction used to circumscribe a circle about a given triangle.

Illustration used to construct a common tangent when given two circles.

Construction of a Common Tangent When Given Two Circles

Illustration used to construct a common tangent when given two circles.

Illustration of the construction used to create an equal angle given a point in a given straight line and a given angle.

Construction of an Equal Angle Given a Point and a Straight Line

Illustration of the construction used to create an equal angle given a point in a given straight line…

Illustration of the construction used to escribe circles with centres (centers) called ex-centres of the triangles. The intersections of the bisectors of the exterior angles of a triangle are the centers of three circles, each of which will touch one side of the triangle, and the two other circles.

Construction of Escribed Circles With Ex-centres

Illustration of the construction used to escribe circles with centres (centers) called ex-centres of…

Illustration of the construction used to find the third angle of a triangle when two of the angles are given.

Construction to Find the Third Angle of a Triangle When Given Two Angles

Illustration of the construction used to find the third angle of a triangle when two of the angles are…

Illustration used to construct a circle that shall pass through a given point and cut chords of a given length from two parallels.

Construction of a Circle Through a Given Point that Cuts Chords of Given Lengths From Parallels

Illustration used to construct a circle that shall pass through a given point and cut chords of a given…

Illustration of the construction used to inscribe a circle in a given triangle.

Construction to Inscribe a Circle in a Triangle

Illustration of the construction used to inscribe a circle in a given triangle.

Illustration of the construction used to make a parallelogram when given two sides and the included angle.

Construction of a Parallelogram When Given Two Sides and Included Angle

Illustration of the construction used to make a parallelogram when given two sides and the included…

Illustration to let fall a perpendicular upon a given line from a given external point.

Construction of Perpendicular Upon a Given Line From an External Point

Illustration to let fall a perpendicular upon a given line from a given external point.

Illustration of the construction of a perpendicular to a line when given a point O on the straight line.

Construction of Perpendicular From a Given Point on a Straight Line

Illustration of the construction of a perpendicular to a line when given a point O on the straight line.

Illustration of the construction of a perpendicular to a line when given a point B on the straight line.

Construction of Perpendicular From a Given Point on a Straight Line

Illustration of the construction of a perpendicular to a line when given a point B on the straight line.

Illustration of the construction used upon a given straight line, to describe a segment of a circle in which a given angle may be inscribed.

Construction to Describe a Segment of a Circle in Which an Angle Can Be Inscribed

Illustration of the construction used upon a given straight line, to describe a segment of a circle…

Illustration of the construction used to divide a straight line into a given number of equal parts.

Construction of a Straight Line Divided Into Equal Parts

Illustration of the construction used to divide a straight line into a given number of equal parts.

Illustration of the construction used to create straight line parallel to a given straight line through a given external point.

Construction of a Straight Line Parallel to a Given Straight Line

Illustration of the construction used to create straight line parallel to a given straight line through…

Illustration of the construction used to draw a tangent to a given circle through a given point.

Construction of Tangent Line Through a Given Point to a Given Circle

Illustration of the construction used to draw a tangent to a given circle through a given point.

Illustration of the construction used to make a triangle when given two sides and the angle opposite one of them. This is for case 1 of the ambiguous case, when a is less than b.

Construction of a Triangle When Given Two Sides and the Angle Opposite (Ambiguous Case)

Illustration of the construction used to make a triangle when given two sides and the angle opposite…

Illustration of the construction used to make a triangle when given two sides and the angle opposite one of them. This is for case 2 of the ambiguous case, when a is equal to b.

Construction of a Triangle When Given Two Sides and the Angle Opposite (Ambiguous Case)

Illustration of the construction used to make a triangle when given two sides and the angle opposite…

Illustration of the construction used to make a triangle when given two sides and the angle opposite one of them. This is for case 2 of the ambiguous case, when a is equal to b.

Construction of a Triangle When Given Two Sides and the Angle Opposite (Ambiguous Case)

Illustration of the construction used to make a triangle when given two sides and the angle opposite…

Illustration used to construct a triangle , given the perimeter, one angle, and the altitude from the vertex of the given angle.

Construction of a Triangle Given Perimeter, Angle, Altitude

Illustration used to construct a triangle , given the perimeter, one angle, and the altitude from the…

Illustration of the construction used to make a triangle when given a side and two angles.

Construction of a Triangle When Given a Side and Two Angles

Illustration of the construction used to make a triangle when given a side and two angles.

Illustration of the construction used to make a triangle when given three sides.

Construction of a Triangle When Given Three Sides

Illustration of the construction used to make a triangle when given three sides.

Illustration of the construction used to make a triangle when given two sides and the included angle.

Construction of a Triangle When Given Two Sides and Included Angle

Illustration of the construction used to make a triangle when given two sides and the included angle.

Illustration showing the correct and incorrect position of a right line pen against a T-square, triangle, or straight edge when doing geometric constructions.

Positioning Pen for Constructions

Illustration showing the correct and incorrect position of a right line pen against a T-square, triangle,…

Illustration used to show how to divide a line into any number of equal parts by construction.

Construction Used to Divide a Line Into Equal Parts

Illustration used to show how to divide a line into any number of equal parts by construction.

Illustration used to show how to divide a given straight line into required number of equal parts.

Construction Of Dividing A Line

Illustration used to show how to divide a given straight line into required number of equal parts.

Illustration used to show how to divide a given straight line into required number of equal parts.

Construction Of Dividing A Line

Illustration used to show how to divide a given straight line into required number of equal parts.

Illustration used to draw a an ellipse using string and pins by describing a circles with diameters equal to the minor and major axes of the ellipse.

Construction of Ellipse by Describing Circles

Illustration used to draw a an ellipse using string and pins by describing a circles with diameters…

Illustration used to draw a an ellipse using string and pins.

Construction of Ellipse Using String

Illustration used to draw a an ellipse using string and pins.

Illustration used to show how to draw an ellipse when given the diameters.

Construction Of Ellipse

Illustration used to show how to draw an ellipse when given the diameters.

Illustration used to show how to draw an ellipse by circular arcs.

Construction Of Ellipse

Illustration used to show how to draw an ellipse by circular arcs.

Illustration used to draw a an ellipse with major axis AB and minor axis CD.

Construction of Ellipse

Illustration used to draw a an ellipse with major axis AB and minor axis CD.

Illustration used to show how to draw an equilateral triangle when given one side.

Construction Of Equilateral Triangle

Illustration used to show how to draw an equilateral triangle when given one side.

Illustration used to show how to draw an equilateral triangle when given the altitude.

Construction Of Equilateral Triangle

Illustration used to show how to draw an equilateral triangle when given the altitude.

Illustration used to show how "to construct a common external tangent to two given circles."

Construction of an External Tangent to 2 Circles

Illustration used to show how "to construct a common external tangent to two given circles."

Illustration used to show how to construct two common external tangents to two given circles.

Construction of an 2 External Tangents to 2 Circles

Illustration used to show how to construct two common external tangents to two given circles.

Illustration used to show how to draw a helix when the pitch and the diameter are given.

Construction Of Helix

Illustration used to show how to draw a helix when the pitch and the diameter are given.

Illustration used to show how to inscribe a regular hexagon in a given circle.

Construction Of Hexagon Inscribed In Circle

Illustration used to show how to inscribe a regular hexagon in a given circle.

Illustration used to construct a regular hexagon on a given line.

Construction of Regular Hexagon

Illustration used to construct a regular hexagon on a given line.

Illustration of a how to construct a triangle equivalent to a given hexagon/polygon.

Hexagon Used to Construct Equivalent Triangle

Illustration of a how to construct a triangle equivalent to a given hexagon/polygon.

Construction of a regular hexagonal pyramid.

Construction of Hexagonal Pyramid

Construction of a regular hexagonal pyramid.

An illustration showing how to construct a hyperbola by plotting. "Having given the transverse axis BC, vertexes Aa, and foci ff'. Set off any desired number of parts on the axis below the focus, and number them 1,2,3,4,,5,etc. Take the distance a1 as radius, and, with f' as center, strike the cross 1 with f'1=a1. With the distance A1, and the focus f as center, strike the cross 1 with the radius F1=A1, and the cross 1 is a point in the hyperbola."

Construction Of A Hyperbola

An illustration showing how to construct a hyperbola by plotting. "Having given the transverse axis…

An illustration showing how to construct a hyperbola by a pencil and a string. "Having given the transverse axis BC, foci f' and f, and the vertexes A and a. Take a rule and fix it to a string at e; fix the other end of the string at the focus f. The length of the string should be such that when the rule R is in the position f'C, the loop of the string should reach to A; then move the rule on the focus f', and a pencil at P, stretching string, will trace the hyperbola."

Construction Of A Hyperbola

An illustration showing how to construct a hyperbola by a pencil and a string. "Having given the transverse…

Illustration of the construction used to create an isosceles triangle, given the bases and the sum of the altitude and a side.

Construction Of An Isosceles Triangle

Illustration of the construction used to create an isosceles triangle, given the bases and the sum of…

Illustration used to show how to find a straight line of the same length as a given arc of a circle.

Construction Of Line Equal To Arc

Illustration used to show how to find a straight line of the same length as a given arc of a circle.

Illustration used to show how to inscribe a regular octagon in a given circle.

Construction Of Octagon Inscribed In Circle

Illustration used to show how to inscribe a regular octagon in a given circle.

Illustration used to show how to draw an egg-shaped oval when given the diameters.

Construction Of Oval

Illustration used to show how to draw an egg-shaped oval when given the diameters.