 | John Playfair - 1806 - 320 Seiten
...figures. Wherefore, in right angled triangles, &c. QED PROP. XXXII. THEOR. IF two triangles, which have two sides of one proportional to two sides of the other, be joined at one angle, so as to have their homologous sides parallel to each other, the remaining... | |
 | Isaac Todhunter - 1880 - 426 Seiten
...conveniently broken up and the essential part of it presented thus : if two triangles have two tides of the one proportional to two sides of the other, and the angles opposite to one pair of homologous sides equal, the angles which are opposite to the other pair of homologous... | |
 | 1884 - 538 Seiten
...shall be perpendicular to the line touching the circle. 14. If two triangles have two sides of the one proportional to two sides of the other, and the angles opposite to one pair of homologous sides equal, the angles which are opposite to the other pair of homologous... | |
 | Euclides - 1884 - 434 Seiten
...similar, and that EC bisects L BED. PROPOSITION 7. THEOREM. If two triangles have two sides of the one proportional to two sides of the other, and the angles opposite to one pair of homologous sides equal, the angles opposite to the other pair of homologous sides shall... | |
 | George Bruce Halsted - 1885 - 389 Seiten
...the supplement of AB. THEOREM XVII. 718. If two spherical triangles have two sides of the one equal to two sides of the other, and the angles opposite one pair of eqtial sides equal, the angles opposite the other pair are either equal or supplemental. FIRST, given... | |
 | Euclides - 1885 - 340 Seiten
...figure on the hypotenuse. Exercise, 251 PEOP. XXXII.— THEOREM. If two triangles (ABC, CDE) which have two sides of one proportional to two sides of the other (AB : BC : : CD : DE), and the contained angles (B, D) equal, be joined at an angle (C), so as to have... | |
 | Euclid, John Casey - 1885 - 340 Seiten
...figure on the hypotenuse. Exercise. 251 PEOP. XXXII.— THEOREM. If two triangles (ABC, CDE) which have two sides of one proportional to two sides of the other ( AB : BC : : CD : DE), and the contained angles (B, D) equal, be joined at an angle (C), so as to... | |
 | George Bruce Halsted - 1886 - 394 Seiten
...the supplement of AB. THEOREM XVII. 718. If two spherical triangles Jcave two sides of the one equal to two sides of the other, and the angles opposite one pair of equal sides equal, the angles opposite tf1e other pair are either equal or supplemental. FIRST, given... | |
 | University College, Dundee - 1889 - 358 Seiten
...in A, B : what is the locus of a point P such that the tangents from P to the circles are equal ? 8. If two triangles have two sides of one proportional to two sides of another, and the contained angles equal, prove that the triangles are equiangular, and the sides about... | |
 | Wooster Woodruff Beman, David Eugene Smith - 1895 - 344 Seiten
...with equal sides adjacent. Theorem 14. If two triangles have two sides of the one respectively equal to two sides of the other, and the angles opposite one pair of equal sides equal, then the angles opposite the other pair of equal sides are either equal or supplemental,... | |
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If two triangles have two sides of one proportional to two sides of the other, and the angles opposite one pair of corresponding sides... 
