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" IF two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of one of them greater than the angle contained by the two sides equal to them, of the other ; the base of that which has... "
Euclid's Elements [book 1-6] with corrections, by J.R. Young - Page 30
by Euclides - 1838
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...each, but the dttgle contained by the two sides of one of them greater than the angle contained by the two sides equal to them, of the other ; the base...shall be greater than the base of the other. Let ABC, DEFbe two triangles, which have the two sides AB, AC, equal to the two DE, DF, each to each, namely,...
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The Edinburgh university calendar

Edinburgh univ - 1868 - 336 pages
...but the angle contained by the two sides of the one greater than the angle contained by the two sides of the other ; the base of that Which has the greater angle shall be greater than the base of thg other. 3. Whence does the difficulty about parallels arise? Would it be removed by an independent...
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An Elementary Course of Plane Geometry

Richard Wormell - Geometry, Modern - 1868 - 286 pages
...equal to two sides of the other, but the included angle of the one greater than the included angle of the other, the base of that which has the greater angle is greater than the base of the other. Fig. 79. 90. Let ABC and DEFbe the triangles, and let AB=DE,...
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An Elementary Course of Plane Geometry

Richard Wormell - Geometry, Plane - 1870 - 304 pages
...equal to ftuo sides of the other, but the included angle of the one greater than the included angle of the other, the base of that which has the greater angle is greater than the base of the other. c F Fig. 78*. Let ABC, DEFbe the triangles, let AB = DE, AC=DF...
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The Elements of Plane and Solid Geometry

Henry William Watson - Geometry - 1871 - 320 pages
...each to each, but the angle contained by the two sides of the one greater than the angle contained by the two sides equal to them of the other, the base...the greater angle shall be greater than the base of tlte other. Fig. 28 a, 6, f. Let ABC and DEF be two triangles having the sides BA, and AC of the one...
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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 pages
...to each, but the angle contained by the two sides of one of them greater than the angle contained by the two sides equal to them of the other; the base of that which has the greater angle must be greater than the base of the other. In the &sABC,DEF, let AB = DE and AC= DF, and let L BAC...
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The Edinburgh university calendar

Edinburgh univ - 1871 - 392 pages
...but the angle contained by the two sides of the one greater than the angle contained by the two sides of the other ; the base of that which has the greater angle is greater than the base of the other. A complete demonstration is required. 4. If a straight line...
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The Elements of Plane and Solid Geometry

Henry William Watson - Geometry - 1872 - 326 pages
...each to each, but the angle contained by the Iwo sides of the one greater than the angle contained by the two sides equal to them of the other, the base...angle shall be greater than the base of the other. Fig. 28 a, b, c. Let ABC and DEF be two triangles having the sides BA, and AC of the one equal, respectively,...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...to each, but the angle contained by the two sides of one of them greater than the angle contained by the two sides equal to them of the other; the base of that which has the greater angle must be greater than the base of the other. In the &sABC,DEF, let AB=DE and AC=DF, and let L BAC be...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 592 pages
...shall the other sides be equal each to each; and also the third angle of the one to the third angle of the other. Let ABC, DEF, be two triangles which have the angles ABC, BCA, equal to DEF, EFD; viz., ABC to DEF, and BCA to EFL); also one side equal to one side...
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