 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...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...than two right angles. Produce BC to D. Then, because ACD is the exterior angle of the triangle ABC, it is greater (I. 16) than the interior and remote angle... | |
 | Euclid - Geometry - 1845 - 218 pages
...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 pages
...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 pages
...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 pages
...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...two right angles. Produce BC to D : Then, because ACD is the exterior angle of the triangle ABC, ACT) is greater than the interior and opposite angle... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...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 - Euclid's Elements - 1846 - 334 pages
...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... | |
 | Henry Pickton - Geometrical drawing - 1847 - 84 pages
...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... | |
 | Euclides - 1847 - 128 pages
...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.... | |
 | Euclides - 1848 - 52 pages
...the exterior angle is greater than either of the interior opposite angles. PROP. XVII. THEOREM. Any two angles of a triangle are together less than two right angles. PROP. XVIII. THEOREM. The greater side of every triangle is opposite to the greater angle. PROP. XIX.... | |
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Any two angles of a triangle are together less than two right angles. 
