 | Euclides - 1845 - 546 σελίδες
...rectangle. 35. The square is greater than any oblong inscribed in the same circle. 36. If two triangles have one side of the one equal to one side of the other, and the angles opposite these sides equal, the circumscribing circles are equal. 37. If a quadrilateral... | |
 | Euclides - 1853 - 334 σελίδες
...If two triangles have (1) two angles of the one respectively equal to two angles of the other ; (2) one side of the one equal to one side of the other ; the equal sides being either those adjacent to the two equal angles in both triangles, or those opposite... | |
 | Euclides - 1855 - 270 σελίδες
...other sides of the bases of the triangles would be equal, each to each. Exercise. If two squares have one side of the one equal to one side of the other, the squares are equal in all respects. PROP. V. THEOREM. The angles at the base of an isosceles triangle... | |
 | 1856 - 418 σελίδες
...5 nest lesson ; or when they have a common side. EXEECISE ON PROP. IV. BOOK I. If two squares have one side of the one equal to one side of the other the squares are equal in all respects. In fig. (C) let А в CD and EFOB be two squares, which have... | |
 | Euclides - 1865 - 402 σελίδες
...shall have each of its sides double of the base. 7. Prove by superposition, that if two squares have one side of the one equal to one side of the other, the squares are equal in all respects. 8. In the figure of Prop. I. 5, if FC and BG meet at H, show... | |
 | L J V. Gerard - 1874 - 428 σελίδες
...to each other [39], WWTBD COROLLARY I. Two regular polygons of the same number of siiks. tchich tare one side of the one equal to one side of the other, are equal to toch, other. COROLLAIT H. Two regular polgyons of the same number of Met are fimiJar to... | |
 | James Maurice Wilson - 1878 - 450 σελίδες
...equal. COR. 2. If a triangle is equilateral it is also equiangular. THEOREM 7. If two triangles have one side of the one equal to one side of the other, and the angles at the extremities of those sides equal, each to each, then the triangles are equal... | |
 | University of Madras - 1879 - 674 σελίδες
...DEC. VIII. Angles in the same segment of a circle are equal to on« another. If two triangles have one side of the one equal to one side of the other, the angles opposite to the equal sides equal and the areas equal, they shall be equal in all respects.... | |
 | College of preceptors - 1882 - 528 σελίδες
...two triangles have two angles of the one equal to two angles of the other, each to each ; and have one side of the one equal to one side of the other — namely, sides which are adjacent to the equal angles, or sides opposite to equal angles, in each... | |
 | 1882 - 1112 σελίδες
...the pupil take two triangles that are not equal to one another in any respect, or that have merely one side of the one equal to one side of the other, and let him "apply" one to the other. Thus he may realize that in these cases the two triangles will... | |
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If two right-angled triangles have their hypotenuses equal, and one side of the one equal to one side of the other, the triangles are congruent. 
