 | Charles Godfrey, Arthur Warry Siddons - 1903 - 384 sider
...produced, the exterior angle so formed is greater than either of the interior opposite angles. COR. 3. Any two angles of a triangle are together less than two right angles. COR. 4. Every triangle has at least two of its angles acute. COR. 5. If two triangles have two angles... | |
 | Euclid - 1904 - 488 sider
...angle ACD : I. 15. therefore also the angle ACD is greater than the angle ABC. PROPOSITION 17. THEOREM. Any two angles of a triangle are together less than two right angles. A Let ABC be a triangle. Then shall any two of the angles of the triangle ABC be together less than... | |
 | Cora Lenore Williams - 1905 - 56 sider
...produced, the exterior angle is greater than either of the interior angles not adjacent to it. Prop. 31. Any two angles of a triangle are together less than two right angles. Prop. 32. If a triangle has one right angle, or one obtuse angle, its remaining angles are acute. Prop.... | |
 | Euclid - 1908 - 550 sider
...perpendiculars would form a triangle in which two angles would be right angles : which is impossible, since any two angles of a triangle are together less than two right angles. PROPOSITION 18. In any triangle the greater side subtends the greater angle. For let ABC be a triangle... | |
 | Henry Raper - 1908 - 1018 sider
...and bisecting AB, it would be proved that the angle ABG, or its equal CBD, is greater than A. 122. Any two angles of a triangle are together less than two right angles. Produce the side BC of the triangle ABC, to D. Then the exterior angle AC D of the triangle is greater... | |
 | Elmer Adelbert Lyman - 1908 - 364 sider
...If in the figure to Theorem VII CF is drawn, prove CF = AB. 5. Prove by Theorem VII that the sum of any two angles of a triangle are together less than two right angles. 6. It is required to find the distance of A from B, two points on the opposite shores of a lake. What... | |
 | Henry Sinclair Hall - 1908 - 286 sider
...opposite L ACD. .-. the L ACD is greater than the L ABC. EXTERIOR AND INTERIOR ANGLES. COROLLARY 1 . Any two angles of a triangle are together less than two right angles. For the /.ABC ia less than the /.ACD : Proved. to each add the /.ACB. Then the Lf ABC, ACB are less... | |
 | Joseph Gregory Horner - 1909 - 560 sider
...produced, the exterior angle shall be greater than either of the interior opposite angles. (Prop. 16.) Any two angles of a triangle are together less than two right angles. (Prop. 17.) The greater side of every triangle is opposite to the greater angle. (Prop. 18.) Any two... | |
 | Newfoundland Council of Higher Education - 1911 - 250 sider
...From a given point outside a given straight line AB, draw the shortest possible line to AB. Show that any two angles of a triangle are together less than two right angles. (15) o 83 A 6. If, from the ends of the base of a triangle, there be drawn two straight lines to a... | |
 | Florian Cajori - 1919 - 536 sider
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ANY two angles of a triangle are together less than two right angles. 
