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" If two triangles have two sides of the one equal to two sides of the other, each to each, and the included... "
Cambridge Problems: Being a Collection of the Printed Questions Proposed to ... - الصفحة 202
1821 - عدد الصفحات: 425
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Report of the Secretary for Public Instruction ..., المجلد 32

1908
...the other sides are equal, the triangle is isosceles. 2. If two triangles have two sides of the one equal to two sides of the other, each to each, and the included angles unequal, the triangle which has the greater included angle nas the greater third side. 3. Find the...
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A School Geometry, الأجزاء 1-4

Henry Sinclair Hall - 1908 - عدد الصفحات: 138
...angles are opposite to equal sides. THEOREM 4. [Euclid I. 4.] If two triangles have two sides of the one equal to two sides of the other, each to each, and the angles include^ by those sides equal, then the triangles are equal in all respecf" Let ABC, DEF be...
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Heat Engines, Embracing the Theory, Construction, and Performance of Steam ...

David Allan Low - 1920 - عدد الصفحات: 592
...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 a right...
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Euclid and His Modern Rivals

Lewis Carroll, Charles Lutwidge Dodgson - 2004 - عدد الصفحات: 275
...think deserves to be interpolated. Th. 20 (p. 34) is new. ' If two Triangles have two sides of the one equal to two sides of the other, each to each, and the angles opposite to tivo equal sides equal, the angles opposite to the other two equal sides are either...
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Annual Report, المجلد 15،الأجزاء 1877-1891

New York State Reformatory (Elmira, N.Y.) - 1877
...IX. Draw figure and demonstrate 1st case. Ans. Theorem :-^If two triangles have two sides of the one equal to two sides of the other each to each, and the included angles unequal, the third sides will be unequal, ami the greater side will belong to the triangle which has...
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Transactions of the Cambridge Philosophical Society

Cambridge Philosophical Society - 1830
...cut the circle BDE in D, and join OD. Then because the triangles VOD, VOE have two sides of the one equal to two sides of the other, each to each, and the included angles OVD, OFB equal to one another, the bases OD, OB are likewise equal, and the angle FDO is equal to the...
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A Shorter Geometry

...E, F respectively. Prove that, if DE=EF, BD = CF. . 677. If two triangles have two sides of the one equal to two sides of the other, each to each, and the angles opposite to two equal sides equal, the angles opposite the other equal sides are either equal...
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Practical Geometry

1860 - عدد الصفحات: 147
...F respectively. Prove that, if DE=EF,BD = CF. tEx. 135. If two triangles have two sides of the one equal to two sides of the other, each to each, and the angles opposite to two equal sides equal, the angles opposite the other equal sides are either equal...
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The Bombay University Calendar

University of Bombay - 1904
...each ; then shall the triangles be equal in all respects. 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 be equal, prove that the angles opposite to the other pair...
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Elementary Geometry

...XY > XZ, ZS ^ YT. THEOREM 20.* [CONVERSE OP THEOBEM 19.] If two triangles have two sides of the one equal to two sides of the other, each to each, and the third sides unequal, the triangle which has the greater third side has the greater included angle....
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