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" If two triangles have two sides of the one equal to two sides of the... "
The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ... - Page 7
by Euclides, James Thomson - 1845 - 352 pages
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The Training of Teachers of Mathematics for the Secondary Schools of the ...

Raymond Clare Archibald - Mathematics - 1918 - 310 pages
...Construct a circle of radius 1 .3 inches to touch the former circle and also pass through P. 3. If two triangles have two sides of the one equal to two sides of the other, and also the angles contained by those sides equal, prove that the triangles are congruent....
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Textile Calculations, Manufacture and Mechanism

Joseph Henry Whitwam - Textile fabrics - 1920 - 456 pages
...FIG. 19. of each triangle. Also cut the triangles out and try to fit them, then we learn : "if two triangles have two sides of the one equal to two sides...the other, each to each, and have also the angles included by those sides equal, then the triangles are equal in all respects." (c) Again draw triangles...
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Proceedings of the Edinburgh Mathematical Society, Volumes 38-41

Edinburgh Mathematical Society - Electronic journals - 1920 - 460 pages
...Ambiguous Case. The following two converses of the Ambiguous Case are noteworthy : — Converse (1) If two triangles have two sides of the one equal to two sides of the other, each to each, and the angles opposite to one pair of equal sides supplementary, then the angles opposite to the other...
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Heat Engines, Embracing the Theory, Construction, and Performance of Steam ...

David Allan Low - Boilers - 1920 - 616 pages
...described on OX as diameter. Thiit this is so is seen when the triangles OXll' and OPR are compared. These triangles have two sides of the one equal to two sides of the other, each to each, and the angle at 0 between them common to both. Hence the angle OR'X is equal to the angle ORP which is...
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Conditions of Recognition, Classification, and Payment of Teachers in the ...

Teachers - 1923 - 264 pages
...polygon are produced in order, the sum of the angles so formed is equal to four right angles. If two triangles have two sides of the one equal to two sides of the other, each to each, and also the angles contained by those sides equal, the triangles are congruent. If two triangles have...
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Plane Geometry

Walter Burton Ford, Charles Ammermann - Geometry, Modern - 1923 - 406 pages
...Why ? 4. Moreover /.CAB > /.CAD. 4. Ax. 10. 5. Therefore /.CAB > /.B. 5. Why? 79. Corollary 1. If two triangles have two sides of the one equal to two sides of the other, but the third side of the first greater than the third side of the second, then the included...
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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
...EXERCISES 15 Chapter III. CONGRUENT TRIANGLES. NOTE ON THE METHOD OF SUPERPOSITION 18 JTHEOREM 10. If two triangles have two sides of the one equal to two sides of the other, each to each, and also the angles contained by those sides equal, the triangles are congruent . . 19 JTHEOREM 11. If...
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Bulletin

Education - 1917 - 964 pages
...Construct a circle of radius 1.3 inches to touch the former circle and also pass through P. 3. If two triangles have two sides of the one equal to two sides of the other, and also the angles contained by those sides equal, prove that the triangles are congruent....
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The Atlantic Monthly, Volume 124

American essays - 1919 - 956 pages
...Birdwood's method, as applied to what is perhaps the best known of Euclid's literary productions: // two triangles have two sides of the one equal to two sides...angles contained by those sides equal to one another, they also have their bases or third sides equal; and the two triangles are equal; and their other angles...
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The Bombay University Calendar, Volume 1

University of Bombay - 1906 - 956 pages
...polygon are produced in order, the sum ef the angles so formed is equal to four right angles. If two triangles have two sides of the one equal to two sides of the other, each to each, and also the angles contained by these sides equal, the triangles are congruent. If two triangles have...
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