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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. "
Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund Stone - Page 27
by Euclid - 1728
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Book 1

Euclides - Geometry - 1853 - 334 pages
...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...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 262 pages
...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...
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The Popular Educator, Volume 2

1856 - 418 pages
...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...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...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...
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The elements of geometry, in eight books; or, First step in applied logic

L J V. Gerard - 1874 - 428 pages
...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...
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Elementary geometry

James Maurice Wilson - 1878 - 450 pages
...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...
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The Madras University Calendar, Volume 1

University of Madras - 1879 - 674 pages
...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....
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The American Journal of Education, Volume 32

Henry Barnard - Education - 1882 - 1112 pages
...the pupil take two triangles that are not equal to one another in any respect, or that have merely of the rest of mankind, may not amiss be represent and let him "apply " one to the other. Thus he may realize that in these cases the two triangles will...
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American Journal of Education and College Review, Volume 32

Education - 1882 - 1112 pages
...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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The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 pages
...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...
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