 | John Playfair - 1832 - 358 Seiten
...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... | |
 | John Playfair - 1833 - 346 Seiten
...lines, a part AE has been cut off equal toC the less. Which was to be done. PROP. IV. THEOREM. Jf two triangles have two sides of the one equal to two sides of the other, each to each ; and have likewise lJie angles contained by those sides equal to one another, their bases, or third sides, shall be equal... | |
 | 1833 - 414 Seiten
...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 - 168 Seiten
...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 - 518 Seiten
...than EF. Therefore, i'f two triangles, &c. • 23. I. •3.1. t Hyp. f 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... | |
 | Euclid - 1835 - 540 Seiten
...greater than EF. Therefore, " if two triangles," &c. QED PROP. XXV. THEOR. If two triangles have tiro sides of the one equal to two sides of the other, each to each, but the base of the one greater than the base of the other ; the angle also contained by the sides... | |
 | 1835 - 684 Seiten
...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... | |
 | Adrien Marie Legendre - 1836 - 394 Seiten
...found that BO + OC< BD + DC ; therefore, still more is BO + OC<BA+AC. PROPOSITION IX. THEOREM. If two triangles have two sides of the one equal to two sides of the other, each to each, and the included angles unequal, the third sides will be unequal; and the greater side will belong to the... | |
 | 1836 - 488 Seiten
...shall be less than the other two sides of the triangle, but shall contain a greater angle. XXIV. If two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of the one greater than the angle contained by the two sides... | |
 | 1836 - 502 Seiten
...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, &c." The phrase in italics is not an English idiom, but the literal translation of the Greek twrepa.... | |
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If two triangles have two sides of the one equal to two sides of the... 
