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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. "
Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ... - Page 231
by Euclid, John Keill - 1723 - 364 pages
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 544 pages
...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...
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The Elements of Euclid. Books I.-VI.; XI. 1-21 XII. 1-2. A New Text ..., 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
...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
...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
...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
...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
...DEC. VIII. Angles in the same segment of a circle are equal to onę 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 papers set at the professional preliminary examination

College of preceptors - 1882
...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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American Journal of Education, Volume 32

Education - 1882
...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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