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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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Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826
...but the included angle, BAG of the one, greater than the included angle EOF of the other, the base BC of that which has the greater angle, shall be greater than the base EF of the other. Of the two sides AB, AC, let AB be that which is not greater than the other, and,...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 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. * 23. 1. •3.1. tHyp. t Constr. t Constr. •4.1. •5.1. t 9 Ax. • 19. 1. SeeN. B •4,1. Let ABC,...
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The Philosophy of Human Knowledge; Or, A Treatise in Language: A Course of ...

Alexander Bryan Johnson - 1828 - 200 Seiten
...what, to most persons, would be uninteresting matter. PROPOSITION IV.— Theorem 1st. Let ABC, DBF be two triangles which have the two sides AB, AC, equal to the two sides DE, DF, each to each ; viz. AB to DE , and. AC to DF ; and the a ngle BAC, equal to the angle...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1829 - 516 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...DEF be two triangles which have the two sides AB, • Sec Note. AC equal to the two DE, DF, eacli to each, viz. AB equal to DE, and AC to DF ; but the...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - 1829 - 186 Seiten
...the other two sides be equal, each to each, and the third angle of one triangle to the third, angle of the other. Let ABC, DEF be two triangles which have the angles B, C equal to the angles E, F, each to each, and the side UC equal to EF; then the other sides...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 272 Seiten
...contained by the two sides of the one greater than theangle which is contained by the two sides which are equal to them of the other ; the base of that which...angle shall be greater than the base of the other : and conversely. See the demonstration of Book I. Prop. 11. PROP. 18. If any point be taken within...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - 333 Seiten
...greater base, shall be greater than the angle contained by the sides of the other. Let ABC, DEF he two triangles which have the two sides AB, AC, equal to the two sides DE, DF each to each, viz. AB equal to DE, and AC to DF : but let the base CB be greater than...
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Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - 1833 - 150 Seiten
...which has its third side the greater, shall be greater than the angle between 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 DE, DF respectively, viz. AB to DE, and AC to DF ; but the third side BC is greater than the third side EF....
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834
...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. BOOK I. PROP. XXV. to DE, and AC to DF, but the angle BAC greater than the angle EDF : the base BC...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1835 - 316 Seiten
...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...which have the two sides AB, AC equal to the two DE, DP each to each, viz. AB equal to DE, and AC to DF; but the angle BAG greater than the an ?le EDF ;...
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