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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 - Seite 30
von Euclides - 1838
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Euclid, book i., propositions i. to xxvi., with exercises and alternative ...

Euclides - 1877
...each, but the angle contained by the two si.des of one of them 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. Let ABO, DEF be two triangles in which AB is equal to DE> and AC equal to DP, but the angle BA C greater...
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Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics ...

Samuel H. Winter - 1877 - 413 Seiten
...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...angle shall be greater than the base of the other. 11. In a triangle in which one angle is obtuse, the square on a side subtending an acute angle is less...
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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877
...that which has the greater base shall be greater than the amjle contained by the fides equal to them of the other. Let ABC, DEF, be two triangles, 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 base BC greater ihan the base...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1877 - 443 Seiten
...other, each to each, but the included angles unequal, the base of that which has the greater angle will be greater than the base of the other. . Let ABC, DEF be two triangles, having two sides of the one equal to two sides of the other, viz., AB equal to DE, and AC to DF, but...
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The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878
...each, but the angle contained by the two sides of the one greater than the angle contained by tlie two sides equal to them of the other ; the base of that which han the greater angle is greater than the base of the other. And conversely, the angle is greater,...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...each, but the angle contained by the two sides of one of them greater than the angle contained by tlie two sides equal to them, of the other; the base of...shall be greater than the base of the other. Let ABC, DBF be two As, which have AB, AC = DE, DF, each to each, namely AB = DE, and AC = DF ; but L BAC greater...
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879
...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...angle shall be greater than the base of the other triangle. 3. If a straight line be bisected, and produced to any point, the rectangle contained by...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 36 Seiten
...contained by the two sides of one of them greater than the angle contained by the two sides equal to those of the other ; the base of that which has the greater...angle shall be greater than the base of the other. Same proposition. Explain clearly the reason for the restriction, 'Of the two sides DE, DF, let DE...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...the other sides be equal, each to each, and also the third angle of the one equal to the third angle of the other. Let ABC, DEF be two triangles which have the angles ABC, BCA equal to the angles DEF, EFD, each to each, namely, ABC to DEF, and BCA to EFD, and...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...each to each, but the anglle contained by the sides of the one greater than the angle contained by the two sides equal to them of the other, the base of thar which has the greater angle shall be greater than the base of the other. 4. Triangles upon equal...
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