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published by mgmay281 on Sat, 12/30/2017 - 09:27

As far as I can tell, this book is Public Domain in the U.S.

Here is a copy of the "Not in Copyright" notice from the Internet Archive:

Note: This section of my site focuses on the "Geometrical Problems" chapter of Cross's book (Chapter II).

- Problem 001: To bisect a straight line AB, or an arc of a circle ACB
- Problem 002: To erect a perpendicular to a given line at a given point A in the line.
- Problem 003: To draw a perpendicular to a given line BC, from a point A outside the line.
- Problem 004: To erect a perpendicular to a given line AB, from a point B, at or near its end.
- Problem 005: To draw a line, EF, parallel to a given line, AB, and the distance CD from it.
- Problem 006: To construct an equilateral triangle on a given base, A B.
- Problem 007: To construct a square on a given base, AB.
- Problem 008: To construct a rectangle of given sides, AB and CD.
- Problem 009: To inscribe a square within a given circle.
- Problem 010: To bisect a given angle, CAB.
- Problem 011: To trisect a right angle, CAB.
- Problem 012: To construct at E, in the line ED, an angle equal to a given angle, ABC.
- Problem 013: To construct an angle of 90, 60, 45, 30, 15 degrees or any other given magnitude.
- Problem 014: To divide a given line, AB, into any number of equal parts, as five.
- Problem 015: To construct a triangle, having given its sides, AB, C, and D.
- Problem 016: To inscribe a regular hexagon within a given circle.
- Problem 017: To construct a regular hexagon upon a given base AB.
- Problem 018: To construct a regular octagon within a given square ABCD.
- Problem 019: To inscribe a regular pentagon within a given circle C.
- Problem 020: To draw a tangent at any point A, in a given circumference.
- Problem 021: To inscribe a circle within a given triangle ABC.
- Problem 022: To draw an arc of a given radius EF, tangent to given straight lines AB and CD.
- Problem 023: To draw an arc of a given radius DE, tangent to a straight line AB and a circle C.
- Problem 024: To draw an arc of a given radius CD tangent to two circles A and B.
- Problem 025: To draw, within a given equilateral triangle ABC, three equal circles, each tangent to two others and to one side of the triangle.
- Problem 026: To draw arcs of circles tangent at points C and B, to two parallel straight lines AB and CD and passing through any point as E, in the line CB.
- Problem 027: To circumscribe a circle about a given triangle ABC.
- Problem 028: To construct a regular octagon on a given side AB.
- Problem 029: To inscribe, within a given equilateral triangle ABC, three equal circles, each tangent to two others and to two sides of the triangle.
- Problem 030: Within a given square, ABCD, to draw four equal circles, each touching two others and two sides of the square.
- Problem 031: To divide a straight line, CD, into the same proportional parts as a given divided line, AB.
- Problem 032: Within a square, ABCD, to draw four equal semi-circles, each touching on side, forming by their diameters a square.
- Problem 033: To construct an equilateral triangle, its altitude, AB, being given.
- Problem 034: *** Need content
- Problem 035: To circumscribe a square about a given circle.
- Problem 036: To circumscribe a regular hexagon about a given circle C.
- Problem 037: To draw circles tangent to each other and to two lines, AC and BC, not parallel, the radius, DE, of one circle being given.
- Problem 038: To construct a regular polygon of any number of sides (in this case seven) upon a given base, AB.
- Problem 039: To inscribe a regular polygon of any number of sides (in this case five) within a given circle.
- Problem 040: Within a given circle to draw any number of equal semi-circles tangent to the circle and forming by their diameters a regular polygon.
- Problem 041: Within a given circle A to draw any number of equal circles tangent to each other and to the circle A.
- Problem 042: About a given circle A, to draw any number of equal circles tangent to each other and to the given circle.
- Problem 043: To draw an ellipse, its axes AB and CD being given.
- Problem 044: To draw, by means of a trammel, an ellipse, whose axes are given.
- Problem 045: To draw upon given axes, AB and CD, an approximate ellipse.
- Problem 046: To draw an equable spiral.
- Problem 047: To draw a variable spiral, its greatest diameter, AB, being given.
- Problem 048: To draw the involute of a circle.
- Problem 049: To draw the cycloid curve traced by a point in the circumference of a given circle, A, which rolls on the line CD.
- Problem 050: To construct the epicycloid curve traced by a point in the circumference of a circle, A, which rolls on the outside of a circle B.
- Problem 051: To construct the hypocycloid traced by a point in circle C, with rolls inside the circle B.

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