 | Euclides - 1842 - 316 pagina’s
...1.), the angle ACD, is greater than the angle ABC. Therefore, if one side, &c. QED PROP. XVII. THEOR. ANY two angles of a triangle are together less than two right angles. Let ABC be any triangle; any two of its angles together are less than two right angles. Produce B c to D ; and because A c D... | |
 | John Playfair - 1842 - 332 pagina’s
...that the angle BCG, that is (15. 1.), the angle ACD, is greater than the angle ABC. PROP. XVII. THEOR. Any two angles of a triangle are together less than two right angles. Let ABO be any triangle ; any two of its angles together are less than two right angles. Produce BC to... | |
 | 1844 - 688 pagina’s
...their other angles shall be equal, each to each, viz. those to which the equal sides are opposite. 3. Any two angles of a triangle are together less than two right angles. 4. If a straight line falling upon two other straight lines make the alternate angles equal to one... | |
 | Euclides - 1845 - 546 pagina’s
...than the angle ABC. Therefore, if one side of a triangle, &c. QED PROPOSITION XVII. THEOREM. Any tno angles of a triangle are together less than two right...right angles. Produce any side BC to D. Then because ACD is the exterior angle of the triangle ABC', therefore the angle ACD is greater than the interior... | |
 | Euclid - 1845 - 218 pagina’s
...angle ACD, is greater than the angle ABC. Therefore, if one side, &c. QED PROPOSITION XVII. THEOR. — Any two angles of a triangle are together less than two right angles. Let ABC be any triangle ; any two of its angles together are less than two right angles. Produce BC to D; and because ACD is... | |
 | Euclid, James Thomson - 1845 - 382 pagina’s
...than the interior and remote right angle, which (I. def. 10) is impossible. PROP. XVII. THEOR.* — Any two angles of a triangle are together less than two right angles. Let ABC be a triangle : any two of its angles are together less than two right angles. Produce BC to D. Then,... | |
 | Scottish school-book assoc - 1845 - 444 pagina’s
...= the /.ACD, (Prop. 3), is •^ the /.ABC; .-. the /.ACD is ^ either of the /.sCAB or ABC. QED Cor. Any two angles of a triangle are together less than two right angles. PROPOSITION XI. — THEOREM. The greater side of every triangle has the greater angle opposite to it.... | |
 | Euclid, John Playfair - 1846 - 334 pagina’s
...the angle BCG, that is (15. 1.), the angle ACD, is greater than the angle ABC. PROP. XVII. THEOR. . Any two angles of a triangle are together less than two right angles. Let ABC be any triangle ; any two of its angles together are less than two right angles. Produce BC to D ; and because ACD... | |
 | Great Britain. Admiralty - 1846 - 128 pagina’s
...shown, that Prop. 14. L BCG or L ACD > L ABC. Therefore, if one side, &c. PROP. XVI. THEOR. 17. IEu. Any two angles of a triangle are together less than two right angles. Let ABC be any ^, any two of its L s are together less than 2 rt. /_ s. B CD Produce BC to D. Prop. is. '.' ext. L... | |
 | Henry Pickton - 1847 - 84 pagina’s
...sides of a triangle taken together are greater than the third side. (See EUCLID, Book I. Prop, xx.) 5. Any two angles of a triangle are together less than two right angles. (See EUCLID, Book I. Prop, xxii.) 6. Triangles on the same base and between the same parallels are... | |
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Any two angles of a triangle are together less than two right angles. 
