 ... lines are drawn to meet a given straight line PQ in X, Y, Z : shew that OZ is equal to half the sum, or half the difference of AX and BY, according as A and B lie on the same side or on opposite sides of PQ. 19. To divide a given finite straight line...  Progressive Lessons in Applied Science - Page 51by Edward Sang - 1875Full view - About this book
 | Richard Wormell - Geometry, Modern - 1868 - 286 pages
...parallel (§ 99). To divide a straight line into a given number of equal parts. 176. 1st. Method.— Lei it be required to divide the straight line AB into five equal parts. From the point A draw any straight line, AG, and upon it, starting from the point A, cut off any part, (fig.... | |
 | Richard Wormell - Geometry, Plane - 1870 - 304 pages
...: BC. Fig. 148. To divide a straight line into a given number of equal parts. 176. ist. Method. — Let it be required to divide the straight line AB into five equal parts. From the point A draw any straight line, AG, and upon it, starting from the point A, cut off any part, (fig.... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...the figures has sides. PROBLEM H. To divide a straight line into any given number of equal parts. A Let it be required to divide the straight line AB into five equal parts. Through A draw any other straight line AC: from it cut off any part AD, and also DE, EF, FG, GZf each... | |
 | Francis Cuthbertson (geometer.) - 1876 - 102 pages
...those parallels. PROPOSITION XXIII. To divide a straight line into any given number of equal parts. Let it be required to divide the straight line AB into five equal parts. From A draw another straight line AD, and from AD produced cut off DE, EF, FG, GH, each equal to AD. Join... | |
 | Richard Wormell - 1876 - 268 pages
...(Fig. 152.) The following Ь'ю. 152. method is, however, more generally applicable :— _JJ_ G. 153 Let it be required to divide the straight line AB into five equal parts. From the point A draw any straight line, AG, and upon it, starting from the point A, cut off any part (Fig.... | |
 | Euclid - Geometry - 1892 - 460 pages
...sides of PQ. 19. To divide a given finite straight line into any number of equal parts. * [For example, required to divide the straight line AB into five equal parts. From A draw AC, a straight line of unlimited length, making any angle with AB. In AC take any point P, and... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...equal. AHK 19. To divide a given finite straight line into any number of equal parts. [For example : required to divide the straight line AB into five equal parts. From A draw AC, a straight line of unlimited length, making any angle with AB. In AC take any point P ; and... | |
 | Euclid - Euclid's Elements - 1904 - 488 pages
...of PQ. 19. To divide a given finite straight line into any number of equal parts. . [For example : required to divide the straight line AB into five equal- parts. From A draw AC, a straight line of unlimited length, making any angle with AB. In AC take any point P ; and... | |
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