Circle; to inscribe, in given angle, passing through given point,
; to construct, touching given line in given point, also given
smaller circle,
; to construct, passing through two given points, and touching
given line,
; to draw, tangential to two unequal circles,
; to divide, into any number of parts, equal in area and outline,
area of; to divide, into any number of parts by concentric
circles,
Circles, three; to describe, having given radii, each being tangential
to the other two,
; to inscribe, in given triangle, each touching two others, and
two sides of triangle,
; to inscribe, in given triangle, each touching other two, and one
side of triangle,
; to inscribe, within given equilateral triangle, touching each
other, and two sides of triangle,
; to inscribe, within given circle,
; to inscribe, within given equilateral trianglé, each touching
other two, and one side of triangle,
Circles, four; to inscribe, in given square, touching each other, and
one side only of square,
; to inscribe, in given square, touching each other, and two sides
of given square,
; to inscribe, in given octagon,
; to inscribe, in given circle,
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 circlė,
; 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,
; to inscribe, in given square,
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Equilateral triangle; to inscribe, in given hexagon,
; to inscribe, in given pentagon,
; to describe, about given square,
; 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,
Heptagon; to inscribe, within given circle,
; to construct, on given line,
Hexagon; to inscribe, within given circle,
; to construct, on given line,
; to construct, diameter given,
Hyperbola; to construct, diameter, abscissa, and ordinate given,
Involute of circle, to construct,
Ionic volute, to construct, longest diameter given,
Isosceles triangle; to construct, given base and vertical angle,
; to construct, given base and altitude,
; to construct, given base and yertical angle of 90°,
; to construct, given base and vertical angle containing a re-
quired number of degrees,
; to construct, given one of equal sides and one equal angles,
; to construct, given base and perimeter,
; to inscribe, within given square, having given base,
; to construct, equal in area to, and on one side of, given
square,
; to construct, equal in area to given triangle,
; to construct, given altitude and length of its equal sides,
Line; to draw, parallel to given line, at given distance from it,
; to draw, parallel to given line, through given point,
; to divide, into any number of equal parts,
; to divide, proportionally to given divided line,
; to draw, through given point, which, if produced, would pass
through the angular point, towards which the given lines
converge,
Lines; to draw, from any two given points, outside a given line, to
make equal angles with the given line,
; to draw, from any two given points, outside a given line, so
that they may be equal in length,
; to draw, from any two given points, going to the same point
to which lines converge, where the point of convergence is
inaccessible,
- parallel; to join the extremities of, by a pair of arcs,
Nonagon; to inscribe, within given circle,
; to construct, on given line,
Octagon; to inscribe, within given circle,
; to construct, on given line,
; to inscribe, in given square,
T
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Octagon; to construct, within given circle, making one of its angles
coincide with a given point,
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Oval; to describe, by arcs of circles,
84
Parabola ; to construct, its ordinate and abscissa being given,
85
Parallelogram; to construct, on given base equal in area to given
parallelogram,
140
; to construct, equal to given triangle in area and perimeter,
144
; to divide, into two parts, proportionate in area to given divided
line,
145
Pentagon; to inscribe, within given circle,
58
; to construct, on given line,
65
; to describe, about a given pentagon, sides parallel, and equal to
given line,
118
Perpendicular; to draw, to a given straight line, from given point in
the line,
6, 7
; to draw, to a given straight line, from given point outside it,
; to draw, to curve of ellipse, from given point,
81
Point; to find, which would be situated in the continuation of arc,
centre of arc being not obtainable,
54
Polygon, any; to inscribe, in given circle,
57, 58
; to construct, on given line,
64, 65
; to complete, two sides being given,
71
; to construct, about given circle,
120
; to construct, equal in area to given triangle,
163
Polygon, irregular; to make, equal to given irregular polygon, 146
Proportional; to find a mean, between two given lines,
125
third ;
to find, to two given lines (less),
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; to find, to two given lines (greater),
128
fourth; to find, to three given lines (less),
126
; to find, to three given lines (greater),
126
Rectangle; to construct, two sides given,
38
; to construct, one side and diagonal given,
38
; to inscribe, in given triangle, side equal to given line,
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; to construct, similar to given rectangle,
; to construct, equal in area to given square,
140
; to construct, equal in area to given triangle,
141
; to construct, equal in area to given rectangle,
141
; to construct, having a given side, equal in area to a given
triangle,
142
; to construct, equal in area to given circle,
144
Rectilineal figure; to convert, into triangle of equal area,
160.
; to reduce, to an equivalent figure, having a less number of
sides,
161
-; to construct, area being given in proportion to another recti-
lineal figure of the same kind,
165
; to change, into another rectilineal figure of equal area, but
having one side more, &c.,
175
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,
Rhombus ; to construct, side and diagonal given,
; to construct, side and angle given,
Semicircles, three; to inscribe, within equilateral triangle, having
adjacent diameters equal (The Trefoil),
; to inscribe, within given circle,
Semicircles, four; to inscribe within given square, each touching
two sides of square (The Quatrefoil),
; to inscribe within given square, each touching one side of the
square,
Semicircles, any number of; to inscribe, in given circle,
Spiral; to construct of one revolution,
common; to construct, on given diameter,
Square; to construct, on given base,
; to construct, diagonal given,
; to inscribe, within circle,
; to inscribe, within triangle,
; to inscribe, within rhombus,
; to inscribe, within trapezium,
; to inscribe, within pentagon,
; to inscribe, within hexagon,
; to inscribe, within quadrant,
; to describe, about circle,
; 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 construct, equal in area to given triangle,
; to construct, area one-third greater than given square,
to construct, area one-third less than given square,
to inscribe, within given square, proportional in area,
; to construct, equal in area to trapezium,
; to construct, equal in area to any number of squares,
; to construct, equal in area to any given polygon,
Straight line; to bisect,
-; to divide, into extreme and mean proportion,
-; to divide, successively into half, third, &c.,
-; to divide, in point, ratio 2:3,
-; to divide, in poiut; 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, between two given circles, placed apart,
; to draw, to point of contact in arc of circle, where the centre
cannot be obtained,
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Tangent; to draw, to curve of ellipse, at given point of contact,
Tangents, exterior ; to draw one or two, common to two given
circles,
Trapezium ; to construct, equal to given trapezium,
; to construct, adjacent pairs of sides given, and diagonal,
; to construct, diagonal and angles at extremities given,
; to construct, similar to given trapezium,
Triangle; to construct, three sides given,
; to find centre of,
; to construct, base and angles at base given,
; 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
given triangle,
; to inscribe, within, and equidistant, and similar to, given
triangle,
; to describe, about, and equidistant, and similar to, given
triangle,
; to inscribe, in circle, similar to given triangle,
; to construct, similar to given triangle, perimeter equal to given
straight line,
; to inscribe, within given triangle, similar to another triangle,
; to construct, equal in area to given trapezium,
; to construct, on given base, area equal to given triangle,
; to construct, similar to given triangle, twice its area,
; to bisect, line perpendicular to one of its sides,
; to construct, equal in area to two dissimilar triangles,
; to divide, into any number of equal parts, by lines drawn from
each angle to a point within the triangle,
; to divide, into any number of equal parts, by lines drawn from
a given point in one of its sides,
; to divide, into any number of equal parts, by lines drawn from
a given point within the triangle,
; to construct, equal in area to any given polygon,
; to construct, equal in area to any given circle,
Undecagon; to inscribe, within given circle,
; to construct, on given line,
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