| George Lees - 1826 - 266 pages
...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,... | |
| Robert Simson - Trigonometry - 1827 - 513 pages
...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,... | |
| Alexander Bryan Johnson - Language and languages - 1828 - 216 pages
...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... | |
| Euclid, Robert Simson - Geometry - 1829 - 516 pages
...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... | |
| John Playfair - Geometry - 1829 - 186 pages
...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... | |
| Pierce Morton - Geometry - 1830 - 584 pages
...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... | |
| John Playfair - Euclid's Elements - 1832 - 333 pages
...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... | |
| Thomas Perronet Thompson - Euclid's Elements - 1833 - 150 pages
...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.... | |
| Euclides - 1834 - 518 pages
...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... | |
| John Playfair - Euclid's Elements - 1835 - 316 pages
...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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