 | John Playfair - Euclid's Elements - 1855 - 340 pages
...which the sides shall be equal to three given straight lines ; but any two whatever of these lines must be greater than the third (20. 1.). Let A, B,...equal to A, FG to B, and GH equal to C ; and from th^centre F, at the distance FD, describe (3. Post.) the circle DKL , and from the centre G, at the... | |
 | Euclides - 1855 - 270 pages
...shall be less than the sum of the three sides, but greater than half that sum. PROP. XXII. PROBLEM. To make a triangle of which the sides shall be equal to three given- straight lines, but any two whatever of them must be greater than the third (I. 20). Let... | |
 | 1857 - 400 pages
...determine the conditions of equality of two triangles, whether in area only, or in every respect. !i. To make a triangle of which the sides shall be equal to three given straight lines, but any two whatever of these must be greater than the third. Show, by... | |
 | Euclides - 1858 - 248 pages
...will be the perpendicular. The protractor is used in a similar vj,-v^_ way. ...-"'•'• K PROB. 8. To make a triangle of which the sides shall be equal to three given straight lines, A, B, and C, but of which any two whatever must be greater than the third.... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...greater than the angle BA C. Therefore, if from the ends of tie side, &c. QED PROPOSITION XXII. PROBLEM. To make a triangle of which the sides shall be equal to three given straight lines, but any two whatever of these must be greater than the third. Let A, B,... | |
 | Euclides - 1860 - 288 pages
...more (Ax. 16), then, is the angle BDC greater than the angle BAC. \"'. ' . PROPOSITION XXII. PROBLEM. To make a triangle of which the sides shall be equal to three given straight lines ; but any two whatever of these lines must be greater than the third (I.... | |
 | Euclides - 1862 - 140 pages
...third; namely, A and B greater than C; A and C greater than B; and B and C greater than A. Sought. — It is required to. make a triangle of which the sides shall be equal to A, B, and C, each to each. Construction. — 1. Take a straight line DE terminated at the point D, but unlimited... | |
 | Euclides - 1862 - 172 pages
...angle BDC greater than the angle BAC. Therefore, if from the ends, &c. QED PROP, XXII.— PROBLEM. To make a triangle of which the sides shall be equal to three given straight lines, but of which any two whatever must be greater than the third. (References—... | |
 | Euclides - 1863 - 122 pages
...greater than the third (I. 20). equal to thrve given straight lines (A, B, and C), of which ang two are Take a straight line DE terminated at the point D, but unlimited towards E. Make (I.3) DF equal to A, FG equal to B, and GH equal to C. From the centre F, at the distance FD,... | |
 | Euclides - 1863 - 74 pages
...little tapering, because the; will, from the distance, of themselves seem less. PROP. 22. — PROB. To make a triangle, of which the sides shall be equal to three given st. lines, but any two whatever of these must be greater than the third. SOL.— P. 20,... | |
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Let A, B, C be the three given straight lines, of which any two whatever are greater than the third, viz. 
