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" IMS the greater base shall be greater t/uin the angle contained by the sides equal to them of the other. Let ABC, DEF, be two triangles, which have The two sides AB, AC... "
Pure mathematics - Page 112
by Edward Atkins - 1874
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 pages
...the other, the angle also contained by the sides of that which has the greater base is greater than the angle contained by the sides equal to them of the other triangle. In the triangles ABC, DEF (Fig. 17) let AB, AC be equal to DE, DF respectively, and let EF...
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Skeleton propositions &c. of Euclid, books i and ii, with ..., Volume 1

Euclides - 1868 - 88 pages
...the other, the angle contained by the sides of the one which the greater base shall be greater than the angle contained by the sides equal to them of the other. • DEM. P. 4. 24. DEM. 10 11 12 Hyp. 1. Concl. Sap, HP 4. Hyp. Cone. Sap. HP 24. HypConol. D. 5. 9....
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...other, the angle contained by the sides of the one which has the greater base shall be greater than the angle contained by the sides equal to them of the other. DEMONSTRATION. — P. 4. If two triangles have two sides and the included angle in each equal, the...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...other ; the angle contained by the sides of the one which has the greater base, shall be greater than the angle contained by the sides, equal to them, of the other. Let AB C, DEFhe two triangles which have the two sides AB, AC, equal to the two sides DE, DF, each to each,...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...the other, the angle contained by the sides of that which has the greater base, shall be greater than the angle contained by the sides equal to them, of the other. Given two triangles ABC and DEF, which have the two sides AB and AC equal to the two sides DE and DF,...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 pages
...the other, the angle contained bv the sides of that which has the greater base shall be greater than the angle contained by the sides equal to them of the other. 2. Define a parallelogram. Prove that every parallelogram which has one right angle has all its angles...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...angle, shall be greater than the base of the other. (References — Prop. i. 3, 4, 5, 19, 23; ax. 9.) Let ABC, DEF, be two triangles which have the two sides AB, AC, equal to the two DE, DF, each to each — viz., AB equal to DE, and AC to DF ; but the angle BAC greater than the angle...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pages
...the other, the angle contained by the sides of that which has the greater base, shall be greater than the angle contained by the sides equal to them, of the other. (References — Prop. I. 4, 24.) 1. The two sides AB, AC, equal to the two sides DE, DF, each to each...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 518 pages
...Cor. 3) ; therefore its extremity, F, must fall below the line E G. The two triangles, ABC and DEG, have the two sides AB, AC equal to the two sides DE, DG, each to each, and the included angle BAC of the one equal to the included angle EDG of the other...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1861 - 638 pages
...Cor. 3) ; therefore its extremity, F, must fall below the line E G. The two triangles, ABC and DEG, have the two sides AB, AC equal to the two sides DE, DG, each to each, and the included angle BAC of the one equal to the included angle EDG of the other...
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