| Euclid - Geometry - 1810 - 518 pages
...than ACB. Therefore the greater side, &.c. QED PROP. XIX. THEOR. THE greater angle of every yiangle **is subtended by the greater side, or has the greater...angle BCA; the side AC is likewise greater than the** ,ide AB. i For, if it be not greater, AC must A either be equal to AB, or less than it; it is not equal,... | |
| John Mason Good - 1813 - 722 pages
...XVIII. Theor. The greater side of every trianzle is opposite to the rreater angle. Prop. XIX. Theor. The **greater angle of every triangle is subtended by the...greater side, or has the greater side opposite to it.** . Prop. XX. Theor. Any two sides of a triangle •re together greater than the third side. Prop. XXI.... | |
| Euclides - 1816 - 528 pages
...ABC greater than ACB. Therefore the greater side, &c. QED PROP, XIX. THEOR. . THE greater angle pf **every triangle is subtended by the greater side, or...than the angle BCA; the side AC is likewise greater** thao the side ABFor, if it be not greater, AC must' either be equal to AB,or less thao it ; it is not... | |
| Euclid, Robert Simson - Geometry - 1821 - 514 pages
...angle of every triangle is subtende iter side, or has the greater side opposite to it. subtended by **Let ABC be a triangle, of which the angle ABC is greater...than the side AB. For, if it be not greater, AC must** A either be equal to AB, or less than it; it is not equal, because then the angle ABC would be equal... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...is the angle ABC greater than ACB. Therefore the greater side, &c. QED Proposition XIX. Theorem. The **greater angle of every triangle is subtended by the...ABC be a triangle, of which the angle ABC is greater** thaf the angle BCA ; the side AC is likewise greater than the side AB. For, if it be not greater, AC,... | |
| Robert Simson - Trigonometry - 1827 - 513 pages
...more is the angle ABC greater than ACB. Therefore the greater side, &c. Q BD PROP. XIX. THEOR. The **greater angle of every triangle is subtended by the...it. Let ABC be a triangle, of which the angle ABC is** •5.1. tHyp. • 18. 1. greater than the angle BCA : the side AC shall be greater than the side AB.... | |
| Euclid, Robert Simson - Geometry - 1829 - 516 pages
...much more is the angle ABC greater than ACB. Therefore the greater side, &c. QED PROP. XIX. THEOR. THE **greater angle of every triangle is subtended by the...than the side AB. » For, if it be not greater, AC** mtjst either be equal to A l5. -or less than it; it is not equal, because then the angle ABC would... | |
| John Playfair - Geometry - 1829 - 186 pages
...greater angle of every triangle is subtended by the greater side. ED. PROPOSITION XIX. THEOREM. The **greater angle of every triangle is subtended by the...opposite to it, Let ABC be a triangle, of which the angle** B is greater than C; the side AC is also greater than AB. For If AC be not greater than AB, it must... | |
| Thomas Perronet Thompson - Euclid's Elements - 1833 - 150 pages
...triangle &c. Which was to be demonstrated. PROPOSITION XIX. THEOREM. — The greater angle in any triangle **has the greater side opposite to it, Let ABC be a triangle, of which the angle** B is greater than the angle C. The side AC is greater than the side AB. For, if it be not greater,... | |
| Euclides - 1834 - 518 pages
...D. PROPOSITION XIX. THEOR. — The greater angle of every triangle is subtended by the greater tide, **or has the greater side opposite to it. Let ABC be...angle ABC is greater than the angle BCA : the side AC** shall be greater than the side AB. For if it be not greater, AC must either be equal to AB, or less... | |
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