| Euclides - 1841
...with the base EF, two straight * 10 AX. lines would enclose a space, which is impossible.* Therefore **the base BC coincides with the base EF, and is therefore equal to it.** Wherefore the whole triangle ABC coincides with the whole triangle DEF, and is equal to it; and the... | |
| Euclides - 1855
...base EF, the two straight lines BC, EF, would enclose a space, which (Ax. 10) is impossible. Wherefore **the base BC coincides with the base EF, and is, therefore, equal** (Ax. 8) to it. Wherefore, also, the whole triangle ABC coincides with the whole triangle DEF, and is,... | |
| Euclides - 1862
...the base EF, two straight lines would inclose a space, which is impossible, (ax. 10.) 9. Therefore **the base BC coincides with the base EF, and is therefore equal to it.** (ax. 8.) 10. Therefore the whole triangle ABC coincides with the whole triangle DEF, and is equal to... | |
| 1870
...sums, and the remaining angles CEA, BED are equal. (No. 112, 4). 117. If two triangles, as ABC, DE F, **have two sides of the one, as AB, AC, equal to two...sides being laid on two equal sides) will exactly** cover it. Hence the two remaining angles must be equal, or B is equal to E, and C to F; or, the triangles... | |
| Āryabhaṭa - 1878
...base EF, the two straight lines BC, EF would enclose a space, which is impossible (Ax. 9) wherefore **the base BC coincides with the base EF and is, therefore, equal to it.** Wherefore, also the whole triangle ABC coincides with the whole triangle DEF, and is, therefore equal... | |
| Henry Raper - Nautical astronomy - 1882 - 910 pages
...sums, and the remaining angles CEA, BED are equal. (No. 112, 4). 1 17. If two triangles, as ABC, DE F, **have two sides of the one, as AB, AC, equal to two...sides being laid on two equal sides) will exactly** cover it. Hence the two remaining angles must be equal, or B is equal to E, and C to F ; or, the triangles... | |
| Euclid, Robert Simson - Geometry - 1892 - 518 pages
...the base EF; for if not, two straight lines would enclose a space ; which is impossible. Ax. 10. Thus **the base BC coincides with the base EF, and is therefore equal to it.** Ax. 8. And the triangle ABC coincides with the triangle DEF, and is therefore equal to it in area.... | |
| Seymour Eaton - 1899 - 340 pages
...base EF; for, if not, two straight lines would inclose a space, which is impossible (Axiom 4). Thus **the base BC coincides with the base EF, and is, therefore, equal to it** (Axiom 5). And the triangle ABC coincides with the triangle DEF, and is, therefore, equal to it in... | |
| Henry Sinclair Hall, Frederick Haller Stevens - Geometry - 1900 - 304 pages
...the base EF; for if not, two straight lines would enclose a space ; which is impossible. Ax. 10. Thus **the base BC coincides with the base EF, and is therefore equal to it.** Ax. 8. And the remaining angles of the triangle ABC coincide with the remaining angles of the triangle... | |
| Euclid, H. S. Hall, F. H. Stevens - Euclid's Elements - 1904 - 456 pages
...the point F. for if not, two straight lines would enclose a space ; which is impossible. Ax. 10. Thus **the base BC coincides with the base EF, and is therefore equal to it.** Ax. 8. And the remaining angles of the triangle ABC coincide with the remaining angles of the triangle... | |
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