PAGE ... Circle; to inscribe, in given angle, passing through given point, ... ; to construct, passing through two given points, and touching ... .. ; to draw, tangential to two unequal circles, ... ... ... ; to divide, into any number of parts, equal in area and outline," ... ; to inscribe, in given triangle, each touching other two, and one 172 173 174 175 ... ; to inscribe, within given equilateral triangle, touching each other, and two sides of triangle, 107 ; to inscribe, within given circle, 107 ; to inscribe, within given equilateral triangle, each touching Circles, four; to inscribe, in given square, touching each other, and 108 ; to inscribe, in given square, touching each other, and two sides Circles, five; to inscribe, in given circle, Circles, six; to inscribe, within equilateral triangle, ; to describe, about and equal to given circle, Circles, seven; to inscribe, in given circle, Circles, any number of; to inscribe, in given circle, ; to describe, about a given circle, Circles, series of; to describe, tangential to two converging lines, Decagon; to inscribe, within given circle, -; to construct, on given line, Dodecagon; to inscribe, within given circle, Ellipse; to describe, transverse and conjugate diameters given, ; to find centre and axes of, ; to complete curve of, one quarter given, ; to complete curve of, more than half given, ; to describe, about rectangle, Elliptical figure; to describe, one diameter given, ; to construct, two squares given, Equilateral triangle; to construct, on given base, ; to construct, height given, ; to inscribe, within given circle, PAGE Equilateral triangle; to inscribe, in given hexagon, ; to inscribe, in given pentagon, ; to describe, about given circle, ... ; to construct, equal to given triangle not equilateral, Foiled figure; to construct, about any polygon, Four-sided equilateral figure; to inscribe, in a given parallelogram, 89 90 116 ... 117 155 123 ... 86 179 180 Isosceles triangle; to construct, given base and vertical angle, ; to construct, diameter given, Hyperbola; to construct, diameter, abscissa, and ordinate given, Ionic volute, to construct, longest diameter given, ; to construct, given base and altitude, ; to construct, given base and vertical angle of 90°, ; to construct, given base and vertical angle containing a re- ; to construct, given one of equal sides and one of equal angles, ... ; to inscribe, within given square, having given base, ... ; to construct, equal in area to, and on one side of, given ; to construct, given altitude and length of its equal sides, ; to divide, into any number of equal parts, ... 90 ... ; to divide, proportionally to given divided line, Lines; to draw, from any two given points, outside a given line, to ; to draw, from any two given points, outside a given line, so ; to draw, from any two given points, going to the same point —, parallel; to join the extremities of, by a pair of arcs, ; to construct, on given line, Octagon; to inscribe, within given circle, PAGE ... ; to construct, about given circle, Octagon; to construct, within given circle, making one of its angles Oval; to describe, by arcs of circles, Parabola; to construct, its ordinate and abscissa being given, ; to construct, equal to given triangle in area and perimeter, ; to divide, into two parts, proportionate in area to given divided Pentagon; to inscribe, within given circle, ; to describe, about a given pentagon, sides parallel, and equal to the line, ... ; to draw, to a given straight line, from given point outside it, centre of arc being not obtainable, Polygon, any; to inscribe, in given circle, ; to construct, on given line, to complete, two sides being given, ; to construct, equal in area to given triangle, Polygon, irregular; to make, equal to given irregular polygon, third; to find, to two given lines (less), ; to find, to two given lines (greater), fourth; to find, to three given lines (less), ; to find, to three given lines (greater), Rectangle; to construct, two sides given, ; to construct, one side and diagonal given, ; to inscribe, in given triangle, side equal to given line, ... 169 84 85 140 ... ... ; to construct, having a given side, equal in area to a given ; to construct, equal in area to given circle, ; to reduce, to an equivalent figure, having a less number of ; to construct, area being given in proportion to another recti- 144 160. ... 161 ; to change, into another rectilineal figure of equal area, but Reduced copy; to make, of any given figure, Rhomboid; to construct, two adjacent sides and diagonal given, ; to construct, two adjacent sides and angle given, adjacent diameters equal (The Trefoil), ; to inscribe, within given circle, ... ... Semicircles, four; to inscribe within given square, each touching ; to inscribe within given square, each touching one side of the Semicircles, any number of; to inscribe, in given circle, Spiral; to construct of one revolution, ... : PAGE 176 41 39 40 100 101 102 103 104 178 177 36 37 91 92 92 93 94 94 95 ... ; to describe, about circle, 119 ; ... ; to construct, within given square, concentric with it, to construct, equal in area to given rectangle, ; to construct, having any number of square inches, ; to draw, between two given circles, placed apart, ... ; to construct, area one-third greater than given square, ; to construct, equal in area to any number of squares, Straight line; to bisect, ... ... ... ; to divide, into extreme and mean proportion, ; to divide, in point, ratio 2:3, ; to divide, in point; whole : part :: 5 : 3, ; to draw, equal to half circumference of circle, Tangent; to draw, to given circle, point of contact in circumference, ; to draw, to given circle, point outside circumference, ; to draw, on outside of two given circles, placed apart, ; to draw, to point of contact in arc of circle, where the centre 6 128 129 ... PAGE ... Tangent; to draw, to curve of ellipse, at given point of contact, ... ... ... circles, ... ; to construct, adjacent pairs of sides given, and diagonal, ... 82 ... ... ; to construct, altitude and angles at base given, ; to construct, base, altitude, and one side given, ; to construct, given base, angles of 60°, 30°, and 90°, ; to bisect, by line parallel to one of its sides, ; to describe, about given circle, angles being equal to those of ... ; to inscribe, within, and equidistant, and similar to, given ; to describe, about, and equidistant, and similar to, given ; to inscribe, in circle, similar to given triangle, ; to inscribe, within given triangle, similar to another triangle, ... ; to construct, on given base, area equal to given triangle, 28 29 ; to construct, similar to given triangle, twice its area, 156 ; to bisect, line perpendicular to one of its sides, 157 ; to construct, equal in area to two dissimilar triangles, 158 ; to divide, into any number of equal parts, by lines drawn from ; to divide, into any number of equal parts, by lines drawn from 159 ; to divide, into any number of equal parts, by lines drawn from 160 ; to construct, equal in area to any given polygon, ; to construct, on given line, |