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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. "
Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ... - Page 35
by George Roberts Perkins - 1856 - 235 pages
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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...
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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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Special Reports on Educational Subjects, Volumes 26-27

Great Britain. Board of Education - Education - 1912 - 1044 pages
...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...
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The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - Mathematics - 1912 - 632 pages
...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...
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Report of the Examinations Conducted by the Council of Higher Education ...

Newfoundland Council of Higher Education - 1914 - 228 pages
...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...
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Bulletin, Issues 38-46

Education - 1915 - 906 pages
...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,...
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Bulletin, Issues 33-43

Education - 1915 - 816 pages
...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,...
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Statistics of Land-grant Colleges and Universities, Volume 3, Issues 31-44

United States. Office of Education - Agricultural colleges - 1915 - 1296 pages
...the one equal to the corresponding side of the other, the triangles are congruent. 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,...
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Report of the Secretary for Public Instruction ..., Volume 40

Queensland. Department of Public Instruction - Education - 1916 - 244 pages
...If two straight lines cut one another, the vertically opposite angles are equal. 3. If two triangles have the three sides of the one equal to the three sides of the other each to each, they are equal in all respects. 4. If a straight line cuts two other straight lines so...
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Plane Geometry

Edith Long, William Charles Brenke - Geometry, Plane - 1916 - 292 pages
...equal AC. Prove this. So again our problem resolves itself into the construction of two triangles which have the three sides of the one equal to the three sides of the other. Construction. Make the construction and give the proof. Problem VI. To construct a triangle having...
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