 | Euclides - 1848 - 52 pages
...angles. PROP. XVIII. THEOREM. The greater side of every triangle is opposite to the greater angle. PROP. XIX. THEOREM. The greater angle of every triangle...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.... | |
 | Euclid, Thomas Tate - 1849 - 120 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...opposite to it. Let ABC be a triangle, of which the angle ABC is greater than the angle BCA ; the side AC is likewise greater than the side AB. For, if it be... | |
 | Euclides - 1852 - 152 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...opposite to it. Let ABC be a triangle, of which the angle ABC is greater than the angle BCA ; the side AC is likewise greater than the side AB. For, if it be... | |
 | Euclides - 1853 - 146 pages
...wherefore much more 4. The angle ABC is greater than ACB. Therefore the greater side, &c. QED PROP. XIX. THEOREM. The greater angle of every triangle...opposite to it. Let ABC be a triangle, of which the angle ABC is greater than the angle BCA ; the side AC is likewise greater than the side AB. For if it be... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...more 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...opposite to it. Let ABC be a triangle, of which the angle ABC is greater than the angle BCA ; the side AC is likewise greater than tie side AB. For, if it be... | |
 | Euclides - Geometry - 1853 - 176 pages
...angle a С b. Much greater then is 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... | |
 | Euclid, John Playfair - Geometry - 1853 - 336 pages
...greater than the angle ACB ; wherefore much more is the angle ABC greater than ACB PROP. XIX. THEOR. The greater angle of every triangle is subtended by the greater side, or hoi the greater side opposite to it. Let ABC be a triangle, of which the angle ABC 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... | |
 | Thomas Lund - Geometry - 1854 - 520 pages
...ABD is greater than / BCD, or tBCA, and .'. a fortiori tABC is greater than / BCA. COR, Conversely, the greater angle of every triangle is subtended by the greater side. 34. PROP. XII. If a straight line, meeting two other straight lines in the same plane, form angles... | |
 | Euclides - 1855 - 270 pages
...side opposite to the latter. Corollary 2. — All the angles of a scalene triangle are unequal. PROP. XIX. THEOREM. The greater angle of every triangle is subtended by the greater side, or hat the greater side opposite to it. Let ABC be a triangle, of which the angle ABC is greater than... | |
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The greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it. 
