Sidebilder
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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,

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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,

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Parabola ; to construct, its ordinate and abscissa being given,

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Parallelogram; to construct, on given base equal in area to given
parallelogram,

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; to construct, equal to given triangle in area and perimeter,

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; to divide, into two parts, proportionate in area to given divided
line,

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Pentagon; to inscribe, within given circle,

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; to construct, on given line,

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; to describe, about a given pentagon, sides parallel, and equal to
given line,

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Perpendicular; to draw, to a given straight line, from given point in
the line,

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; to draw, to a given straight line, from given point outside it,
; to draw, to curve of ellipse, from given point,

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Point; to find, which would be situated in the continuation of arc,
centre of arc being not obtainable,

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Polygon, any; to inscribe, in given circle,

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; to construct, on given line,

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; to complete, two sides being given,

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; to construct, about given circle,

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; to construct, equal in area to given triangle,

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Polygon, irregular; to make, equal to given irregular polygon, 146
Proportional; to find a mean, between two given lines,

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third ;
to find, to two given lines (less),

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; to find, to two given lines (greater),

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fourth; to find, to three given lines (less),

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; to find, to three given lines (greater),

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Rectangle; to construct, two sides given,

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; to construct, one side and diagonal given,

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; 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,

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; to construct, equal in area to given triangle,

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; to construct, equal in area to given rectangle,

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; to construct, having a given side, equal in area to a given
triangle,

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; to construct, equal in area to given circle,

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Rectilineal figure; to convert, into triangle of equal area,

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; to reduce, to an equivalent figure, having a less number of
sides,

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-; to construct, area being given in proportion to another recti-
lineal figure of the same kind,

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; to change, into another rectilineal figure of equal area, but
having one side more, &c.,

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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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