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published by mgmay281 on Sun, 06/03/2018 - 10:32

Note: I am updating this book with more descriptions of the construction process for each Figure. [2018-06-03]

- Figure 005: To draw a line parallel to a given line, and at a given distance from it
- Figure 006: To draw a line parallel to a given line through a given point outside this line
- Figure 007: Definition of Angle
- Figure 008: Describe a circle
- Figure 009: To construct an angle equal to a given angle
- Figure 010: To construct an angle of sixty degrees
- Figure 011: To draw a perpendicular to a line from a point without the line
- Figure 012: To draw a perpendicular to a line from a point within that line
- Figure 013: To draw a perpendicular to a line from a point within that line
- Figure 014: To draw a perpendicular to the middle point of a line
- Figure 015: This construction (Fig. 014) is sometimes used merely to divide a line into two equal parts, or bisect it; it can be more readily done with dividers (Fig. 15).
- Figure 016: To bisect a given angle
- Figure 017: To bisect an angle when the vertex is not on the paper
- Figure 018: Through two given points to describe an arc of a circle with a given radius
- Figure 019: To find the centre of a given circle, or of an arc of a circle
- Figure 020: To describe a circle passing through three given points
- Figure 021: To describe an arc of a circle passing through three given points, where the centre is not available.
- Figure 024 - 025: To draw a tangent to a circle from a given point in the circumference.
- Figure 026: To draw tangents to a circle from a point without it
- Figure 027: To construct within the sides of an angle a circle tangent to these sides at a given distance from the vertex
- Figure 028 - 029: To describe a circle from a given point to touch a given circle
- Figure 030: To draw tangents to two given circles
- Figure 031: To construct a circle through a given point tangent to a second circle at a given point
- Figure 032: Between two inclined lines to draw a series of circles touching these lines and touching each other
- Figure 033: Between two inclined lines to draw a circular arc to fill up the angle
- Figure 034: To fill up the angle of a straight line and a circle, with a circular arc of a given radius
- Figure 035: To fill up the angle of a straight line and a circle, ivitli a circular arc to join the circle at a given point
- Figure 036: To describe a circular arc joining two circles, and to touch one of them at a given point
- Figure 037: To find the arc which shall be tangent to a given point on a straight line, and pass through a given point outside the line
- Figure 038: To connect two parallel lines by a re- versed curve composed of two arcs of equal radii, and tangent to the lines at given points
- Figure 039: To join two given points in two given parallel lines by a re- versed curve of two equal arcs, whose centres lie in the parallels
- Figure 040: On a given line, to construct a compound curve of three arcs of circles
- Figure 041: Three lines inclosing a space form a triangle
- Figure 042: To construct an isosceles triangle
- Figure 043: To construct an equilateral triangle
- Figure 044: To construct a right-angled triangle
- Figure 045: To construct a triangle equal to a given triangle [3 methods follow]
- Figure 046: Method 1: To construct a triangle equal to a given triangle ABC
- Figure 047: Method 2: To construct a triangle equal to a given triangle ABC
- Figure 048: Method 3: To construct a triangle equal to a given triangle ABC.
- Figure 049: Construct a triangle, ABC.
- Figure 050: On one side of a triangle construct a triangle equal to the first.
- Figure 051: On the hypothenuse of a right-angled triangle construct another equal to it.
- Figure 052: Rhombus [Definition]
- Figure 053: Trapzoid [Definition]
- Figure 054: Number of Triangles in Polygon
- Figure 055: Regular Polygons [Definition] / Regular Pentagon
- Figure 056: Regular Hexagon [Illustration]
- Figure 057:
- Figure 058: Regular Octagon [Illustration]
- Figure 059: To describe a circle about a triangle
- Figure 060: To inscribe a circle in a triangle
- Figure 061: To inscribe a square in a circle ; and to describe a circle about a square
- Figure 062: To inscribe, a circle in a square ; and to describe a square about a circle.
- Figure 063: To inscribe a pentagon in a circle
- Figure 064: To construct a regular hexagon upon a given straight line.
- Figure 065: To inscribe a regular hexagon in a circle.
- Figure 066: To describe a regular hexagon about a circle
- Figure 067: To construct a regular octagon upon a given straight line.
- Figure 068: To make a regular octagon from a square
- Figure 069: To inscribe a regular octagon in a circle.
- Figure 070: To describe a regular octagon about a circle.
- Figure 071: To inscribe a circle within a regular polygon.
- Figure 072: To inscribe a circle within a regular polygon.
- Figure 073:
- Figure 074:
- Figure 075:
- Figure 077:
- Figure 078:
- Figure 079:
- Figure 080:
- Figure 081:
- Figure 082:
- Figure 083:
- Figure 084:
- Figure 085:
- Figure 086:
- Figure 087:
- Figure 088:
- Figure 089:
- Figure 090:
- Figure 091:
- Figure 092:
- Figure 093:
- Figure 094:
- Figure 095:
- Figure 096:
- Figure 097:
- Figure 098:
- Figure 099:

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