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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: With Practical Applications to Mensuration - Page 59
by Benjamin Greenleaf - 1863 - 320 pages
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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, and one side...
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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, and one side...
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Mathematics in the Lower and Middle Commercial and Industrial ..., Issues 34-42

Edson Homer Taylor - Mathematics - 1915 - 552 pages
...corresponding side of the other, the triangles are congruent. If two triangles have the three aides 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...
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Report of the Secretary for Public Instruction ..., Volume 40

Queensland. Department of Public Instruction - Education - 1916 - 244 pages
...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 as to make the...
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Plane Geometry

Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...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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Plane Geometry

Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...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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Conditions of Recognition, Classification, and Payment of Teachers in the ...

Teachers - 1923 - 264 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, and one side...
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Theoretical Geometry: Based on the Various Geometry Books by Godfrey and Siddons

Arthur Warry Siddons, Reginald Thomas Hughes - Geometry - 1926 - 202 pages
...triangle are equal, the sides opposite to these angles are equal 21 ^THEOREM 14. 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 22 PAGE THEOREM 15. If two right-angled triangles have their hypotenuses...
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The Examination Statutes ... Together with the Regulations of the Boards of ...

University of Oxford - Universities and colleges - 1913 - 386 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, and one side...
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The American Journal of Science and Arts

Geology - 1823 - 460 pages
...the other, coincide entirely; thus two circles having the same radius are equal, and two triangles having the three sides of the one equal to the three sides of the other, each to each, are also equal." In the use of these definitions, he is followed by Lacroix. We are persuaded that a distinction...
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