 | Euclides - 1845 - 546 pages
...angle ABC greater than the angle ACB. Therefore the greater side, &c. QED PROPOSITION XIX. THEOREM. The greater angle of every triangle is subtended by the...which the angle ABC is greater than the angle BCA. Then the side AC shall be greater than the side AB. For, if AC be not greater than AB, AC must either... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...Therefore, if two sides, &c. PROP. XIX. THEOR. — If two angles of a triangle be unequal, the greater angle has the greater side opposite to it. Let ABC be a triangle, of which the angle B is greater than C ; the side AC is likewise greater than AB. For if it be not greater, AC must either... | |
 | Euclides - 1846 - 292 pages
...the angle ABC greater than the angle ACB. Wherefore, The greater side %c. QED PROP. XIX. THEOR. The greater angle of every triangle is subtended by the...triangle, of which the angle ABC is greater than the angle ACB : the side AC is also greater than the side AB. For, if it be not greater, it must either be equal... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...ACB, much more is /_ ABC > L ACB. Therefore the greater side, &c. PROP. XVIII. THEOR. 19. lEu. The greater angle of every triangle is subtended by the...greater side; or has the greater side opposite to it. If ABC be a ^, of which L ABC > L BCA; then AOAB. BC For AC must be either >, =, or < AB. 1st. If AC... | |
 | Euclides - 1847 - 128 pages
...ACB; and that as DC is > or < AC, the L BAC is > or < the / ABC. PROP. XIX. THEOR. GEN. ENUN. — The greater angle of every triangle is subtended by the...greater side, or has the greater side opposite to it. PART. ENUN. — Let ABC be a A, of which the Z ABC is > the Z ACB; then the side AC shall be > AB.... | |
 | Euclides - 1848 - 52 pages
...THEOREM. The greater side of every triangle is opposite to the greater angle. PROP. XIX. THEOREM. The greater angle of every triangle is subtended by the...greater side, or has the greater side opposite to it. PROP. XX. THEOREM. Any two sides of a triangle are together greater than the third side. PROP. XXI.... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...is the angle ABC greater than ACB. Therefore the greater side, etc. QED PROPOSITION XIX. THEOR. The greater angle of every triangle is subtended by the...the angle BCA ; the side AC is likewise greater than tie side AB. For, if it be not greater, AC must either be equal to AB or less than it; it is not equal,... | |
 | Euclides - Geometry - 1853 - 334 pages
...then the side opposite to the greater angle shall be greater than the side opposite to the less angle. Let ABC be a triangle, of which the angle ABC is greater than the angle BCA. Then the side AC shall be greater than the side AB. For if it be not greater, AC A must either be equal... | |
 | Euclides - Geometry - 1853 - 176 pages
...the angle abС than a С b. Therefore the greater side, <fee. QED PROPOSITION XIX. — THEOREM. The greater angle of every triangle is subtended by the greater side, or IMS tlie greater side opposite to it. LET abС be a triangle, of which the angle ab С is greater than... | |
 | William Somerville Orr - Science - 1854 - 534 pages
...side, &c. QED PROPOSITION XIX.— THEOREM. The greater angle of every triangle (А В С) is stdtended by the greater side, or has the greater side opposite to it. Let the angle В be greater than C; then AC shall be greater thanAB. О For, if it be not greater, AC must... | |
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THE greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it. 
