 | 1829 - 660 דפים
...from the other side of the hedge ; and listening, he could hear the words " angle," " triangle," " two sides of the one equal to two sides of the other," and A, B, C, mingled with words and sentences. St. Andrew's, where he had disciplined, flashed upon his... | |
 | 1829 - 512 דפים
...from the other side of the hedge ; and listening, he could hear the words " angle," " triangle," " two sides of the one equal to two sides of the other," and A, B, C, mingled with words and sentences. St. Andrew's, where he had disciplined, flashed upon his... | |
 | Pierce Morton - 1830 - 584 דפים
...each of the points С, Е. Join А С, А Е, В С, В Е. Then because the triangles ADC, AD E 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 to AE... | |
 | 1835 - 684 דפים
...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 to AE:... | |
 | Royal Military Academy, Woolwich - 1853 - 400 דפים
...angle ; and we have sa = SA, and ad' = arf = AD: wherefore the two rightangled triangles SAD, sad' have two sides of the one equal to two sides of the other, and hence the third sides SD, sd' are also equal, and the angles opposite to these equal, viz., sad' to... | |
 | Euclid - 1853 - 176 דפים
...one in which the triangle is not determined; for it is quite possible to have two triangles having two sides of the one equal to two sides of the other, and one of the opposite angles of the one equal to the similar angle of the other, and yet for the triangles... | |
 | William Robinson Pirie - 1858 - 668 דפים
...all geometry, consists of two axioms united. The first is to the effect, that "if two triangles have two " sides of the one equal to two sides of the other, " and the angle betwixt them equal, the sides will "lie upon each other." As the "angle" is the measure of... | |
 | Eli Todd Tappan - 1864 - 288 דפים
...line CD, the demonstration would not be changed. 394. Theorem — Conversely, if two triangles have two sides of the one equal to two sides of the other, and the third sides unequal, then the angles opposite the third sides are unequal, and that is greater... | |
 | James Maurice Wilson - 1868 - 132 דפים
...another, these triangles will be equal in all respects . . . . . . . 1 7 THEOREM 19. If two triangles have two sides of the one equal to two sides of the other, and the angle opposite that which is not the less of the two sides of the one equal to the corresponding*... | |
 | Stephen Thomas Hawtrey - 1868 - 116 דפים
...are equal. You have thus proved, in accordance with Euclid's eighth axiom, that if two triangles have two sides of the one equal to two sides of the other, and have the included angles also equal, they are equal in every respect. This is the grand fourth proposition.... | |
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If two triangles have two sides of the one equal to two sides of the other, and also the angles contained by those sides equal, prove that the triangles are congruent. 
