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" If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent. "
Elements of Geometry, Conic Sections, and Plane Trigonometry - Page 27
by Elias Loomis - 1877 - 443 pages
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School: A Monthly Record of Educational Thought and Progress, Volume 4

Ed - 1905 - 272 pages
...right angles. If the interior angle of a regular polygon is 140°, calculate the number of sides. (2) If two triangles have the three sides of the one equal...to the three sides of the other, each to each, the triangles are congruent. ABCD is a quadrilateral in which AB = CD and AD = BC, show that AB is parallel...
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Calendar

University of Allahabad - 1907 - 528 pages
...two sides of a triangle are equal, the angles opposite to these sides are equal ; and the converse. If two triangles have the three sides of the one equal...to the three sides of the other, each to each, the triangles are congruent. If two sides of a triangle are unequal, the greater side has the greater angle...
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Calendar

University of Allahabad - 1908 - 568 pages
...two sides of a triangle are equal, the angles opposite to these sides are equal ; and the converse. If two triangles have the three sides of the one equal...to the three sides of the other, each to each, the triangles are congruent. If two right-angled triangles have their hypotenuses equal, and one side of...
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A School Geometry, Parts 1-4

Henry Sinclair Hall - 1908 - 286 pages
...most commonly used in demonstrating the converse of some foregoing theorem. THEOREM 7. [Euclid I. 8.] if two triangles have the three sides of the one equal to the three rides of the other, each to each, they are equal in all respects. Let ABC, DEF be two triangles in...
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Atti Del ... Congresso Internazionale Dei Matematici ...

Mathematics - 1909 - 605 pages
...two sides of a triangle are equal, the angles opposite to these sides are equal; and the converse. If two triangles have the three sides of the one equal...to the three sides of the other, each to each, the triangles are congruent. If two right-angled triangles have their hypotenuses equal, and one side of...
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Journal of Education

Education - 1911 - 1334 pages
...points of two sides of a triangle is parallel to the third side. New Text. 1. If two triangles have three sides of the one equal to the three sides of the other, each to each, they are equal in all respects. 2. If two triangles have two sides of the one equal to two sides of...
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Special Reports on Educational Subjects, Volumes 26-27

Great Britain. Board of Education - Education - 1912 - 1044 pages
...sides of a triangle are equal, the angles opposite to these sides are equal ; and the converse. 10. If two triangles have the three sides of the one equal...to the three sides of the other, each to each, the triangles are congruent. 11. If two right-angled triangles have their hypotenuses equal, and one side...
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The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - Mathematics - 1912 - 632 pages
...sides of a triangle are equal, the angles opposite to these sides are equal ; and the converse. 10. If two triangles have the three sides of the one equal...to the three sides of the other, each to each, the triangles are congruent. 11. If two right-angled triangles have their hypotenuses equal, and one side...
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Advanced Calculus: A Text Upon Select Parts of Differential Calculus ...

Edwin Bidwell Wilson - Calculus - 1912 - 586 pages
...perpendicular bisectors of the lines AA' and BB' and let them intersect at O. Then the triangles AOB and A'OB' have the three sides of the one equal to the three sides of the other and are equal, and the second may be obtained from the first by a mere rotation about 0 through the...
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Report of the Examinations Conducted by the Council of Higher Education ...

Newfoundland Council of Higher Education - 1914 - 228 pages
...calculation. (12) B. — Theoretical. Figures must be drawn neatly. Recognized abbreviations may be used. 4. If two triangles have the three sides of the one equal to the three sides of the other, each to each, then the triangles shall be equal in all respects. On a straight line are taken three points A, B,...
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