| Euclides - Geometry - 1853 - 176 pages
...(vi. def. 1) ; for the same reason the parallelogram ab С d is similar to the parallelogram fh С k. **Wherefore each of the parallelograms ge, kh is similar...rectilineal figure are also similar to one another** (vi. 21) ; therefore the parallelogram ge is similar to k h. Wherefore the parallelogram, &c. QED PBOPOSITION... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...first, to a similar and similarly described rectilineal figure upon the second PROPOSITION XXI. THEOB. **Rectilineal figures, which are similar to the same...rectilineal figure, are also similar to one another.** Let each of the rectilineal figures A, B be similar to the rectilineal figure C : the figure A is similar... | |
| Euclides - 1855 - 230 pages
...AEFG ahout the equal angles are proportionals; and they are therefore similar to one another (e) ; and **for the same reason, the parallelogram ABCD is similar...each of the parallelograms GE, KH, is similar to DB** ; hut rectilineal figures which are similar to the same rectilineal figure are also similar to one... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...about the equal angles are proportionals ; and they are therefore similar to one another; (YI. def. 1.) **for the same reason, the parallelogram ABCD is similar...parallelogram FHCK: wherefore each of the parallelograms GE,** KHis similar to DB : but rectilineal figures which are similar to the same rectilineal figure, are... | |
| Eucleides - 1860 - 396 pages
...about the equal angles are proportionals ; and they are therefore similar to one another (e) ; and **for the same reason, the parallelogram ABCD is similar to the parallelogram FHCK. Wherefore each of the** parablelograms GE, KH, is similar to DB ; but rectilineal figures which are similar to the same rectilineal... | |
| Euclides - 1860 - 288 pages
...angles are proportionals ; and they are therefore similar to one another (VI. Def. 9) ; for a like **reason the parallelogram ABCD is similar to the parallelogram FHCK ; wherefore each of the parallelograms GE** and KH is similar to DB; but rectilineal figures which are similar to the same rectilineal figure are... | |
| Euclides - 1861 - 464 pages
...60 yards ? 7500 X 60X60 270000 The Area x = • ^ ^ = — ~ = Ю800 sq. yards. PROP. 21. — THEOn. **Rectilineal figures which are similar to the same...rectilineal figure, are also similar to one another.** DEM. Def 1, VI. Ax. 1, I. 11, V. Sen. This proposition follows evidently from Def. 1, VI., of similar... | |
| Euclides - 1864 - 448 pages
...about the equal angles are proportionals ; and they are therefore similar to one another; (VI. def. 1.) **for the same reason, the parallelogram ABCD is similar...parallelogram FHCK: wherefore each of the parallelograms GE,** KH\s similar to DB: but rectilineal figures which are similar to the same rectilineal figure, are also... | |
| Euclides - 1865 - 402 pages
...AEFG about the equal angles are proportionals. and they are similar to one another ; (vi. def. 1.) **For the same reason, the parallelogram ABCD is similar...FHCK ; wherefore each of the parallelograms GE, KH** u similar to DB ; lint rectilineal figures which are similar to the same rectilineal figure, are also... | |
| Robert Potts - 1865 - 528 pages
...about the equal angles are proportionals ; and they are therefore similar to one another; (vi. def. 1.) **for the same reason, the parallelogram. ABCD is similar to the parallelogram** FlICK: wherefore each of the parallelograms GE, KHis similar to DB: but rectilineal figures which are... | |
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