 If two straight lines be cut by parallel planes, they shall be cut in the same ratio. Let the straight lines AB, CD be cut by the parallel planes GH, KL, MN, in the points A, E, B; C, F, D : As AE is to EB, so is CF to FD.  Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics ... - Side 154av Samuel H. Winter - 1877 - 413 siderUten tilgangsbegrensning - Om denne boken
 | Robert Simson - 1806 - 546 sider
...: therefore EF is parallel to GH. Wherefore, if two parallel planes, Sec. QED B PROP. XVII. THEOR. IF two straight lines be cut by parallel planes, they shall be cut in the same ratio. Let the straight lines AB, CD be cut by the parallel planes GH, KL, MN, in the points A, E, B ; C,... | |
 | John Mason Good - 1813 - 714 sider
...parallel planes be cut by another plaue, their common sections with it are parallels. Prop. XVII. Theor. If two straight lines be cut by parallel planes, they shall be cut in the same ratio. Prop. XVIII. Theor. If a straight line be at right angles to a pbue, every plane which passes through... | |
 | Euclides - 1816 - 588 sider
...parallel : Therefore EF is parallel to GH. Wherefore, if two parallel planes, &c. QED PROP, XVII. THEOR. IF two straight lines be cut by parallel planes, they shall be cut in the same ratio. Let the straight lines AB, CD, be cut by the parallel planes GH, KL, MN, in the points A, E, B; C,... | |
 | Robert Simson - 1827 - 546 sider
...; therefore EF is parallel to GH. Wherefore, if two parallel planes, &c. QED PROP. XVII. THEOR. Jf two straight lines be cut by parallel planes, they shall be cut in the same ratio. Let the straight lines AB, CD be cut by the parallel planes GH, KL, MN, in the points A, E, B ; C,... | |
 | John Martin Frederick Wright - 1833 - 332 sider
...1. FIND the present worth of 897/- 15*. 6|rf. due' nine months hence at 3| per cent. per annum. 3. If two straight lines be cut by parallel planes, they shall be cut in the same ratio. 3. Multiply */( - a) by */( - 6.) 4. In the expansion of (a + bx + cx* + dx3 + &c.)M, write down the coefficient... | |
 | Euclid - 1835 - 540 sider
...: Therefore EF is parallel to GH. Wherefore, " if two parallel planes," &c. QED PROP. XVII. THEOR. If two straight lines be cut by parallel planes, they shall be cut in the same ratio. Let the straight lines AB, CD be cut by the parallel planes GH, KL, MN, in the points A, E, B; C, F,... | |
 | A. Bell - 1837 - 180 sider
...plane EH, is equal to the inclination of the plane CD to the same plane EH. PROPOSITION XVL THEOEEM. If two straight lines be cut by parallel planes, they shall be cut in the same ratio. Let the straight lines AB, CD, be cut by the parallel planes GH, KL, MN, in the points A, E, B ; C,... | |
 | Robert Simson - 1838 - 434 sider
...parallel : therefore EF is parallel to GH. Wherefore, if two parallel planes, &c. QED / PROP. XVII. THEOR. IF two straight lines be cut by parallel planes, they shall be cut in the same ratio. Let the straight lines AB, CD be cut by the parallel planes GH, KL, MN, in the points A, E, B; C, F,... | |
 | Thomas Grainger Hall - 1841 - 214 sider
...planes AB, CD, meet if produced, which is contrary to the hypothesis. INTRODUCTION. PROPOSITION XVIII. If two straight lines be cut by parallel planes, they shall be cut in the same ratio. Let AB, CD, be cut by the parallel planes GH, KL, MN, in the points A, E, B; c, F, D; then AE : EB... | |
 | Euclides - 1842 - 316 sider
...equal to the inclination of the plane CD to the same plane EH. Therefore, &c. QED PROP. XVII. THEOR. IF two straight lines be cut by parallel planes : they shall be cut in the same ratio. Let the straight lines A в, c D be cut by the parallel planes GH, KL, MN, in the points A, E, B ;... | |
| |
