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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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Pure mathematics, Band 1

Edward Atkins - 1874
...the angle contained by the two fides of one of them greater than the angle contained by the two fides equal to them of the other, the base of that which...angle shall be greater than the base of the other. 5—1. ' H GEOMETRY. Suppose DF>DE. Let ABC, DEF, be two triangles which have The two sides AB, AC...
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Pure mathematics, Band 1

Edward Atkins - 1874
...the base of the other, 5 S GE03IETRY. Suppose I,F>DE Make / EDG = ^ BAC. .'.BC=EG. and - EFG> - EGP. Let ABC, DEF, be two triangles which have The two...sides AB, AC equal to the two DE, DF, each to each— namely, AB to DE,and AC to DF, But the angle BAC greater than the angle EDF; The base BC shall be greater...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...one which has the greater base shall be greater than 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 equal to the two sides DE, DF, each to each, namely, AB equal to DE, and AC to DF; but the base BC greater than the...
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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874
...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 whifh has the greater angle shall be greater than the base of the other. .. Let ABC, DEF be two triangles,...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 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. .•.BC=EQ. and ^ EFG> - EGF. .-.Ea>EF. Let ABC, DEF, be two triangles which havo Tho two sides AB,...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 Seiten
...each to each, but the angle contained by twu Bides 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. Why the restriction " Of the two sides DE, DF, let DE .be the side which is not greater than the other...
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The Madras University Calendar, Band 1

University of Madras - 1876
...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...angle shall be greater than the base of the other. II. The angles in the same segment of a circle are equal to one another. From the intersection of the...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876
...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. Show that without the restriction in the constr action there would be three cases. PDPIL TEACHERS AT...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin SMITH - 1876 - 349 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 of that which hoi the greater angle must be greater than the base of the other. In the &aABC,DEF, let AB=DE and AC=DF,...
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876
...equal to the base of the other ;" (b) " 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) " The included angle of the one less than that of the other,...
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