| John Playfair - Euclid's Elements - 1832 - 333 pages
...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 - Euclid's Elements - 1833 - 333 pages
...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... | |
| Education - 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 - Euclid's Elements - 1833 - 150 pages
...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
...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 - 513 pages
...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... | |
| Mathematics - 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... | |
| Adrien Marie Legendre - Geometry - 1836 - 359 pages
...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... | |
| Mathematics - 1836 - 472 pages
...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... | |
| Education - 1836
...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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