| Francis Joseph Grund - 1830 - 12 páginas
...two right-angular triangles are equal. 94 GEOMETRY. 21. If in two triangles two sides of the one are **equal to two sides of the other, each to each, but the** angle included by the two sides in one triangle is greater than the angle included by the two sides... | |
| Richard Wilson - 1831 - 330 páginas
...spherical polygon is less than the circumference of a great circle, (art. 32.) 49. PROP. If two spherical **triangles have two sides of the one equal to two sides of the other, each to each** ; and have likewise the angles contained by those sides equal to one another, the two triangles shall... | |
| John Playfair - 1832 - 333 páginas
...the given rectilineal angle DCE- Which was to be done. PROP. XXIV. THEOR. If two triangles have fwo **sides of the one equal to two sides of the other, each to each, but the** angle contained by the Iwvsidesof the one prettier limn the angle contained by the two sides of the... | |
| 1833
...as possible, and also of many superfluous phrases. For instance, ' if there be two triangles which **have two sides of the one equal to two sides of the other, each to each,** Sic.' The phrase in italics is not an English idiom, but the literal translation of the Greek Ixserega... | |
| Thomas Perronet Thompson - 1833 - 150 páginas
...respectively, and also the angles between those sides equal to one another. Wherefore, universally, if two **triangles have two sides of the one, equal to two sides of the** other respectively ; &c. Which was to be demonstrated. PROPOSITION V. THEOREM. — In any isoskeles... | |
| Euclides - 1834
...Cunstr. 19. 1. PROPOSITION XXV. THEOR. — If ' two triangles have two sides of the one, equal to Sec N. **two sides of the other, each to each, but the base of the one, greater than the base of the other,** Ike angle contained by the sides of that which has the greater base, shall be greater than the angle... | |
| Francis Joseph Grund - 1834 - 190 páginas
...to each, the two rightangled triangles are equal. 20. If in two triangles two sides of the one are **equal to two sides of the other, each to each, but the** angle included by the two sides in one triangle, is greater than the angle included by them in the... | |
| Euclid - 1835 - 513 páginas
...be equal to them, viz. the angle ABC to the angle DEF, and the angle ACB to DFE. Therefore, " if two **triangles have two sides of the one equal to two sides of the other, each to each,** and have likewise the angles contained by those sides equal to one another, their bases shall likewise... | |
| 1835
...another in each of the points С, Е. Join AC, AE, В С, BE. Then because the triangles AD С, ADE **have two sides of the one equal to two sides of the** other, and have also the included angles ADC, ADE equal to one another, the base А С (I. 4.) is equal... | |
| John Playfair - 1836 - 471 páginas
...triangles, &c. QED •i ' "Jr ,' $'~ PROP. XXV. THEOR. If two triangles have two sides of the one equalto **two sides of the other, each to each, but the base...one greater than the base of the other ; the angle** contained by the sides of that which has the greater base, shall be greater than the angle contained... | |
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