| Euclid - Geometry - 1838 - 470 pages
...draw a straight line AC making any angle with AB ; and in AC take any point D, and take AC the same **multiple of AD, that AB is of the part which is to be cut off** A from it : join BC, and draw DE parallel to it : then AE is the part required to be cut off. Because... | |
| Robert Simson - Geometry - 1838 - 434 pages
...draw a straight line AC making any angle with AB ; and in AC take any point D, and take AC the same **multiple of AD, that AB is of the part which is to be cut off** A from it : join BC, and draw DE parallel to it : then AE is the part required to be cut off. Because... | |
| Euclides - Geometry - 1841 - 378 pages
...required, Let AB be the given straight line; it is required to cut off any part from it. part which U **to be cut off from it; join BC, and draw DE parallel to** CB: then AE shall be the part required to be cut off Because ED is parallel to BC, one of the sides... | |
| John Playfair - Euclid's Elements - 1842 - 332 pages
...; and in AC take any point D, and take AC such that it shall contain AD, as oft as AB is to contain **the part, which is to be cut off from it ; join BC,...to it : then AE is the part required to be cut off.** Because ED is parallel to one of the sides of the 17 B c DA : DC (4. 6.) BA : BD (46.) CA : CD (46.).... | |
| Euclides - 1842 - 316 pages
...draw a straight line AC, making any angle with AB ; and in AC take any point D, and take A c the same **multiple of AD, that AB is of the part which is to be cut off from it ; join** B, c, and draw DE parallel to it (31. 1.) : then AE is the part required to be cut off. ' " " Because... | |
| Euclid - Geometry - 1845 - 218 pages
...draw a straight line AC, making any angle with AB ; and in AC take any point D, and take AC the / same **multiple of AD, that AB is of the part which is to...to it : then AE is the part required to be cut off.** Because ED is parallel to one of the sides of the triangle ABC, viz. to BC ; as CD is to DA, so * 2.... | |
| Euclides - 1845 - 546 pages
...draw a straight line AC, making any angle with AB ; and in AC take any point D, and take AC the same **multiple of AD, that AB is of the part which is to...cut off from it ; join BC, and draw DE parallel to** CB. Then AE shall be the part required to be cut off. Because ED is parallel to BC, one of the sides... | |
| Euclid, James Thomson - Geometry - 1845 - 382 pages
...it. Draw a straight line AC making any angle with AB ; in AC take any point D, and take AC the same **multiple of AD, that AB is of the part which is to be cut off from it ; .join BC, and** (I. 31) draw DE parallel to it: AE is the part required. Because ED isparallel to BC, one of the sides... | |
| Euclides - 1846 - 292 pages
...a straight line AC, making any angle with A. 13 ; and in AC take any point D, and take AC the same **multiple of AD that AB is of the part which is to...DE parallel to it : then AE is the part required.** For, because ED is parallel to BC, one of the sides of the triangle ABC, therefore BE is to EA as CD... | |
| Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...; and in AC take any point D, and take AC such that it shall contain AD, as oft as AB is to contain **the part, which is to be cut off from it ; join BC,...to it: then AE is the part required to be cut off.** 130 triangle ABC, viz. to BC, CD : DA : : BE : EA (2. 6.) ; and by composition (18. 5), CA : AD : :... | |
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