 If the sides of two triangles, about each of their angles, be proportionals, the triangles shall be equiangular, and have their equal angles opposite to the homologous sides. Let the triangles ABC, DEF have their sides proportionals, so that AB is to...  Journal - Side 5151865Uten tilgangsbegrensning - Om denne boken
 | John Playfair - 1806 - 320 sider
...h22. S. therefore, ex aequali, BA : AC : : CD ; DEh. Therefore, the sides, &c. QED PROP. ,V. THE OR. IF the sides of two triangles, about each of their angles, be proportional, the triangles will be equiangular, and have their equal angles opposite to the homologous sides. Let the triangles... | |
 | Robert Simson - 1806 - 546 sider
...ED, ex tcyuali*, BA is to AC, as CD to DE. Therefore, h 22. 5. the sides, Sic. QED PROP. V. THEOR. IF the sides of two triangles, about each of their angles, be proportionals, the triangles shall be equiangular, and have their equal angles opposite to the homologous... | |
 | John Mason Good - 1813 - 714 sider
...angles are homologous sides, that is, are the antecedents Or consequents of the ratios. Prop. V. Theor. If the sides of two triangles, about each of their angles, be proportionals, the triangles shall be equiangular, and have their equal angles opposite to the homologous... | |
 | Euclides - 1816 - 588 sider
...ED, ex. squall h, BA is to AC, * t*. :,. as CD to DE. Therefore the sides, 8cu. QED PROP. V. THEOR. IF the sides of two triangles, about each of their angles, be proportionals, the triangles shall be equiangular, and have their equal angles opposite to the homologous... | |
 | John Mason Good - 1819 - 800 sider
...angles lie homologous sides, that is, arc the antecedents or consequents of the ratios. Prop. V. Theor. If the sides of two triangles, about each of their angles, be proportional«, the trijiigles shall be equiangular, and have their Cjuil angles opposite to the homologous sides. Prop.... | |
 | Robert Simson - 1827 - 546 sider
...22. 5. CE to ED, ex aequali *, BA is to AC, as CD to DE. Therefore the sides, &c. QED PROP. V. THEOR. If the sides of two triangles, about each of their angles, be proportionals, the triangles shall be equiangular ; and the equal angles shall be those which are opposite... | |
 | John Playfair - 1829 - 210 sider
...sides have to each other. The sides about the equal angles of equiangular triangles are proportional. If the sides of two triangles about each of their angles be proportional, the triangles will be equiangular. If two triangles have,one angle of one triangle equal to one angle of the other,... | |
 | John Playfair - 1832 - 358 sider
...BC : CA : : CE : ED, ex aequali, BA : AC : : CD : DE. Therefore the sides, &c. QED PROP. V. THEOR. If the sides of two triangles, about each of their angles, be proportionals, the triangles shall be equiangular, and have their equal angles opposite to the homologous... | |
 | Euclid - 1835 - 540 sider
...ED, ex eequali ' BA is to i 22. 5. AC as CD to DE. Therefore, " the sides," &c. QED PROP. V. THEOR. If the sides of two triangles, about each of their angles be proportionals, the triangles shall be equiangular, and have their equal angles opposite to the homologous... | |
 | 1836 - 488 sider
...the equal angles are homologous sides, that is, are the antecedents or consequents of the ratios. V. If the sides of two triangles, about each of their...proportional, the triangles shall be equiangular, and have their equal angles opposite to the homologous sides. VI. If two triangles have one angle of... | |
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