| Canada. Department of the Interior - 1888 - 756 pages
...a given rectilineal angle. 5. From a given straight line oat off any part required. < 6. Show that **rectilineal figures which are similar to the same...rectilineal figure, are also similar to one another,** 7. Describe a rhombus which shall be equal to any quadrilateral figure. 8. Show that if the sum of... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...to the two A s into which the whole trapezoid is divided by either diagl. PROPOSITION 21. THEOREM. **Rectilineal figures which are similar to the same...rectilineal figure are also similar to one another.** Let each of the rectl. figs. H, h be similar to the rectl. fig. X ; they shall be similar to one another.... | |
| Euclid - Geometry - 1892 - 460 pages
...figures and therefore are to one another in the duplicate ratio of their sides. PROPOSITION 21. THEOREM. **Rectilineal figures which are similar to the same rectilineal figure, are also similar to** each other. Let each of the rectilineal figures A and B be similar to C: then shall A be similar to... | |
| Euclid - Mathematics, Greek - 1908 - 456 pages
...described on the first be to the similar and similarly described figure on the second." PROPOSITION 2i. **Figures which are similar to the same rectilineal figure are also similar to one another.** For let each of the rectilineal figures A, B be similar to C; I say that A is also similar to B. For,... | |
| Peter M. Engelfriet - Mathematics - 1998 - 516 pages
...porism is standard. For the proof Ricci & Xu refer to the proof of the previous theorem (19): Heath **Figures which are similar to the same rectilineal figure are also similar to one another.** (If two rectilineal figures each are similar to another rectilineal figure, then they are similar to... | |
| Euclid - 452 pages
...described on the first be to the similar and similarly described figure on the second." PROPOSITION 21. **Figures which are similar to the same rectilineal figure are also similar to one another.** For, since A is similar to C, it is equiangular with it and has the sides about the equal angles proportional.... | |
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