# Linear Drawing: Showing the Application of Practical Geometry to Trade and Manufactures

Cassell, Petter, Galpin, & Company, 1869 - Mechanical drawing - 118 pages
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Page 101 - In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle.
Page 17 - Most good practical workmen have several means for getting the cut of the mitre, and to them this demonstration will appear unnecessary, but I have seen many men make sad blunders, for want of knowing this simple rule. PROBLEM 12.
Page 43 - AB of the circle into as many equal parts as the polygon is to have sides. With the points A and B as centers and radius AB, describe arcs cutting each other at C.
Page 85 - The process is then continued from the inner squares. THE INVOLUTE (Fig. 61). If a perfectly flexible line is supposed to be wound round any curve, so as to coincide with it, and kept stretched as it is gradually unwound, the end of, or any point in the line will describe or trace another curve, called the involute of the curve — being in reality the opening out, or tmrolKnff, of the periphery of the first curved surface.
Page 12 - Set off these lengths on the pitch circle.* To construct an equilateral triangle on the given line AB (Fig. 5). From A, with radius AB, describe an arc. From B, with the same radius, describe a corresponding arc, cutting the former one in c. Lines joining A c and B c will complete the triangle, which will be equilateral, that is, all its sides will be equal. A triangle having only two of its sides equal, is called an isosceles triangle (A).