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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... "
Elements of Geometry: Containing the First Six Books of Euclid: With a ... - Σελίδα 36
των John Playfair - 1819 - 317 σελίδες
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University of Oxford - 1863 - 316 σελίδες
...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 shall be greater than the base of the other. 5. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite...

Spherical Trigonometry: For the Use of Colleges and Schools

Isaac Todhunter - 1863 - 182 σελίδες
...sides of the one greater than the angle which is contained by the two sides which are equal to them of the other, the base of that which has the greater angle will be greater than the base of the other; and conversely. Let 6 and c denote the sides which are...

Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 σελίδες
...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...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,...

The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 σελίδες
...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...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,...

The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 σελίδες
...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 shall be greater than the base of the other. Prop. 25. If two triangles have two sides of the one equal to two sides of the other, each to each,...

Elements of plane geometry, book i, containing nearly the same propositions ...

Euclides - 1865 - 80 σελίδες
...other, the base of that which has the greater angle is greater than the base of the other. Let ABC and DEF be two triangles which have the two sides AB, AC equal to the two DE, DF, each to each, but the angle BAC greater than the angle EDF, the base BC is also greater than the base EF. Of the...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 σελίδες
...one of them greater than ih# angle contained by the two sides equal to them, of the other; thebase of that which has the greater angle, shall be greater than the base of the other. Let ABC, DEF\lQ two triangles, which have the two sides AB, AC, equal to the two DE, DF, each to each, namely,...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 σελίδες
...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...which have the two sides AB, AC, equal to the two sides DE, DF, each to each, namely, AB to DE, and AC to DF, but the angle BAC greater than the angle...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 424 σελίδες
...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...which have the two sides AB, AC, equal to the two sides DE, DF, each to each, namely, AB to DE, and AC to DF, but the angle BA C greater than the angle...

The Edinburgh university calendar

Edinburgh univ - 1868 - 336 σελίδες
...centigrade above o . A gas measures a cubic inch when at 20°, what did it measure at IO° ? 2. If two triangles have two sides of the one equal to two sides...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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