| Education - 1833 - 414 pages
...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 - 168 pages
...conditions. Wherefore, universally, if two triangles have two sides &c. Which was to be demonstrated. **THEOREM. — If two triangles have two sides of the one, equal to two sides of the** other respectively, but the third side of the one is greater than the third side of the other ; the... | |
| Euclides - 1834 - 518 pages
...straight lines, a part AE has been cut off, equal to C the less. Which was to be done. PROPOSITION **IV. THEOREM. — If two triangles have two sides of...to two sides of the other, each to each, and have** likewise the angles contained by those sides equal to one another, they shall likewise have their bases,... | |
| Euclid - 1835 - 540 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 - 684 pages
...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 - 394 pages
...has just been 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... | |
| John Playfair - Geometry - 1836 - 148 pages
...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 be equal,... | |
| Mathematics - 1836 - 488 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... | |
| Schoolmaster - 1836 - 926 pages
...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 '.y.xrepa.... | |
| Education - 1836 - 502 pages
...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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