 | Euclides - Euclid's Elements - 1837 - 112 pages
...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 - Euclid's Elements - 1837 - 332 pages
...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 - 264 pages
...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 - Geometry - 1838 - 434 pages
...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 - Geometry - 1841 - 378 pages
...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 - 546 pages
...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 - 316 pages
...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 - Euclid's Elements - 1842 - 332 pages
...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 - 744 pages
...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... | |
 | Education - 1843 - 582 pages
...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... | |
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The angles which one straight line makes with another upon one side of it, are either two right angles, or are together equal to two right angles. Let the straight line AB make with CD, upon one side of it, the angles CBA, ABD : these shall either be... 
