| Euclides - 1837 - Liczba stron: 112
...without it. C B PROPOSITION XIII. Theorem, The angles which one straight line makes with another on one side of it, are either two right angles, or are together equal to two right angles. Fig.l. A Fig. 2. 1) Steps of the Demonstration. (In fig. 1, the Z DBA = Z ABC .'. each is a rt. Z).... | |
| John Playfair - 1837 - Liczba stron: 332
...right angles. Let the straight line AB make with CD, upon one side of it the angles CBA, A BD ; these are either two right angles, or are together equal to two right angles. For, if the angle CBA be equal to ABD, each of them is a right angle (Def. 7.) ; but, if not, from... | |
| Euclides - 1838 - Liczba stron: 264
...be done. •• 5 • • •' PROP. XIII. THEOR. , , The angles which one straight line maket with another upon one side of it, are either two right...with CD, upon one side of it, the angles CBA, ABD : these shall either be two right angles, or shall together be equal to two right angles. For the angle... | |
| Robert Simson - 1838 - Liczba stron: 434
...right angles. Let the straight line AB make with CD, upon one side of it, the angles CBA, ABD ; these are either two right angles, or are together equal to two right angles. For, if the angle CBA be equal to ABD, each of them is a right AEA D B DB C (def. 1 0.) angle ; but,... | |
| Euclides - 1841 - Liczba stron: 378
...straight line AB. Which was to be done. PROP. XIII. THEORThe angles which one straight line makes with another upon one side of it, are either two right...with CD, upon one side of it, the angles CBA, ABD; these shall be either two right angles, or shall be together equal to two right angles. For if the... | |
| University of Cambridge - 1841 - Liczba stron: 546
...Calculus is not to be employed.] t* THE angles which one straight line makes with another upon the une side of it are either two right angles, or are together equal to two right angles. 2. Describe an isosceles triangle, having each of the angles at the base double of the third angle.... | |
| Euclides - 1842 - Liczba stron: 316
...and each of these is a right angle. PROP. XIII. THEOR. THE angles which one straight line makes with another upon one side of it are either two right angles,...with CD, upon one side of it, the angles CBA, ABD: these shall either be two right angles, or shall together be equal to two right angles. For if the... | |
| John Playfair - 1842 - Liczba stron: 332
...right angles. Let the straight line AB make with CD, upon one side of it the angles CBA, ABD ; these are either two right angles, or are together equal to two right angles. For, if the angle CBA be equal to ABD, each of them is a right angle (Def. 7.) ; bnt, if not, from... | |
| Chambers W. and R., ltd - 1842 - Liczba stron: 744
...because, as lias been already stated, tbe angles made by one straight line falling upon another, arc either two right angles, or are together equal to two right angles ; therefore, the angles CBA, BAG, ACB, are equal to two right angles, or 180 degrees. There ore several... | |
| 1843 - Liczba stron: 582
...what work is this passage taken ? MATHEMATICS. SENIOR. 1. The angles which one right line makes with another upon one side of it, are either two right angles, or are together equal to two right angles. 2. Define a parallelogram. Parallelograms on the same base and between the same parallels are equal... | |
| |