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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. "
An essay on mechanical geometry, explanatory of a set of models - Page 24
by Benjamin Donne - 1796
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Standard Program of Studies for the Secondary Schools of New Hampshire

New Hampshire. Dept. of Public Instruction - Education - 1919 - 288 pages
...Compare with those cut by the other pupils. Complete this statement. "Two triangles which have the three sides of one equal to the three sides of the other j ? Think of some triangle which you have seen used in constructing buildings, such as brackets for...
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Conditions of Recognition, Classification, and Payment of Teachers in the ...

Teachers - 1923 - 264 pages
...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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Plane Geometry

Walter Burton Ford, Charles Ammermann - Geometry, Modern - 1923 - 406 pages
...spherical triangles having ZA = Z A', ZB = Z B' , ZC = Z C', their polar triangles LAIN and L'M'N' have the three sides of one equal to the three sides of the other, respectively. § 366. Then, by § 374, A LMN and L'M'N' are either congruent or symmetric. In either...
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Junior High School Mathematics: 1st-3d Book, Book 3, Part 2

Edson Homer Taylor, Fiske Allen - Mathematics - 1923 - 104 pages
...included side of one equal to two angles and the included side of the other. 4. Show that they have the three sides of one equal to the three sides of the other. 5. Show that they are right triangles having the hypotenuse and an acute angle of the one equal to...
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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
...11. Data. Constr. THEORETICAL GEOMETRY £ 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. Data ABC, DEF are two triangles which have BC = EF, CA = FD, and AB=DE....
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The Examination Statutes ... Together with the Regulations of the Boards of ...

University of Oxford - Universities and colleges - 1913 - 386 pages
...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
...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...
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The New Geometry: Form One

G. P. West - Geometry - 1965 - 362 pages
...the triangles are congruent. (AAS or ASA) THEOREM 12. 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. (SSS) THEOREM 13. If two triangles have one angle of each a right angle,...
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A Shorter Geometry

464 pages
...may be stated as follows : — FACT K [Theorem I. 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. tEx. 298. State the converse of this theorem. Is it true? tEx. 297. PQ...
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New Examination Statutes

University of Oxford - Universities and colleges - 1915 - 620 pages
...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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