| Thomas Perronet Thompson - 1833 - 150 pagina’s
...angles respectively, from the equality of certain of their parts. He never notices the case of two **triangles having two sides of the one equal to two sides of the** other respectively, and an angle opposite to equal sides equal in both. This is probably, first, because... | |
| Francis Joseph Grund - 1834 - 190 pagina’s
...triangles, which you have learned in this section ? Am. 1. If, in two triangles, two sides of the one are **equal to two sides of the other, each to each, and the** angles which are included by them are also equal to one another, the two triangles are equal in all... | |
| 1835
...greater than DE, it shall subtend a greater angle at С : for С А В and С DE are, in this case, two **triangles having two sides of the one equal to two sides of the other, each to each,** but the base AB greater than the base DE: therefore the angle А С В (I. 11.) is likewise greater... | |
| Euclid - 1835 - 513 pagina’s
...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... | |
| Adrien Marie Legendre - 1836 - 359 pagina’s
...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 triangle which has... | |
| John Playfair - 1836 - 114 pagina’s
...meet in one point, are together equal to four right angles. PROP. IV. THEOR. 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, they shall likewise have their... | |
| Schoolmaster - 1836
...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.... | |
| 1836
...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.... | |
| 1836 - 472 pagina’s
...which has the greater angle shall be greater than the base of the other. XXV. If two triangles have **two 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 contained by the sides of that... | |
| Andrew Bell - 1837 - 240 pagina’s
...lines, a part AE has been cut off equal to C, the less. PROPOSITION IV. THEOREM. 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, thenbases, or third sides,... | |
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