 | 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, James Thomson - 1845 - 382 σελίδες
...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...its angles are together less than two right angles. Produce BC to D. Then, because ACD is the exterior angle of the triangle ABC, it is greater (I. 16)... | |
 | Euclid - 1845 - 218 σελίδες
...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... | |
 | 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... | |
 | 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.... | |
 | Euclides - 1846 - 292 σελίδες
...ABC. Wherefore, ffoiie side &c. QEB PROP. XVII. THEOH. Any two angles of a triangle are together lea than two right angles. Let ABC be a triangle : any...its angles are together less than two right angles. Produce BC to D : Then, because ACD is the exterior angle of the triangle ABC, ACT) is greater than... | |
 | Great Britain. Admiralty - 1846 - 128 σελίδες
...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.... | |
 | Euclid, John Playfair - 1846 - 334 σελίδες
...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... | |
 | Euclides - 1847 - 128 σελίδες
...QED COR. — A circle cannot cut a st. line in more pts. than two. PROP. XVII. THEOR. GEN. ENUN. — Any two angles of a triangle are together less than two right angles. PART. ENUN. — Let ABC be any A. Then any two of its Z s are together less than two rt. Z8. DEMONST.... | |
 | Henry Pickton - 1847 - 84 σελίδες
...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. 
