 | Euclid, Robert Simson - 1829 - 548 σελίδες
...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 the greater...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 - 1829 - 210 σελίδες
...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 - 1830 - 584 σελίδες
...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 has the greater...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... | |
 | Thomas Perronet Thompson - 1833 - 168 σελίδες
...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 σελίδες
...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 the greater...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... | |
 | 1835 - 684 σελίδες
...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 has the greater...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... | |
 | Euclid - 1835 - 540 σελίδες
...contained by the two sides of one of them greater than the angle contained by the tivo sides equal to them, of the other ; the base of that which has the greater...angle shall be greater than the base of the other. Book I. Let ABC, DEF be two triangles which have the two sides V—V""' AB, AC equal to the two DE,... | |
 | 1836 - 488 σελίδες
...shall be less than the other two sides of the triangle, but shall contain a greater angle. XXIV. If two triangles have two sides of the one equal to two sides...angle shall be greater than the base of the other. XXV. If two triangles have two sides of the one equal to two sides of the other, each to each, but... | |
 | John Playfair - 1836 - 148 σελίδες
...their other angles shall be equal, each to each, viz. those to which the equal sides are opposite. + Let ABC, DEF 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 angle BAC equal to the angle EDF,... | |
 | Alexander Bryan Johnson - 1836 - 290 σελίδες
...assent to mathematical propositions. Proposition IV, Theorem 1st, in the first book of Euclid, says: — "Let ABC, DEF, 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 angle BAC, equal to the angle EDF... | |
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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... 
