| John Playfair - 1855 - 318 sider
...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
...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... | |
| Euclides - 1858
...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 - 1860 - 361 sider
...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
...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
...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
...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
...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
...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,... | |
| Euclides - 1864
...than the third, (l. 20.) namely, A and B greater than C; A and C greater than B ; and B and C greater **than A. It is required to make a triangle of which...terminated at the point D, but unlimited towards E,** make DF equal to A, FG equal to B, and GH equal to C; (l. 3.) from the center F, at the distance FD,... | |
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