 | Euclid - 1838 - 470 σελίδες
...(15. 1.) the angle ACD, is greater than the angle ABC. Therefore, if one side, &c. Q,. ED PROP. XVII. THEOR. ANY two angles of a triangle are together less...right angles. Let ABC be any triangle ; any two of A its angles together are less than two right /\ angles. / Produce BC to D ; and because ACD is / the... | |
 | Euclides - 1840 - 82 σελίδες
...triangle is produced, the external angle is greater than either of the internal remote angles. PROP. XVII. THEOR. Any two angles of a triangle are together less than two right angles. cu PROP. XVIII. THEOR. If two sides of a triangle are unequal, the angle subtended by the greater side... | |
 | Euclides - 1841 - 378 σελίδες
...is,* * 15. ' 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...ABC be any triangle; any two of its angles together shall be less than two right angles. Produce BC to D; and because ACD is the exterior angle of the... | |
 | Euclides - 1842 - 316 σελίδες
...(15. 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...angles together are less than two right angles. Produce B c to D ; and because A c D is the exterior angle of the triangle ABC, ACD is greater (16. 1.) than... | |
 | John Playfair - 1842 - 332 σελίδες
...demonstrated 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 σελίδες
...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... | |
 | Euclid - 1845 - 218 σελίδες
...is, * the 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...is the exterior angle of the triangle ABC, ACD is A • i6. i. greater* than the interior and opposite angle ABC; to each of these add the angle ACB... | |
 | Euclides, James Thomson - 1845 - 382 σελίδες
...be greater 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,... | |
 | Euclides - 1845 - 546 σελίδες
...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 angles. Let ABC be any triangle. Then any two of its angles together shall be less than two right angles. Produce any side BC to D.... | |
 | Scottish school-book assoc - 1845 - 444 σελίδες
...= 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.... | |
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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. 
