 | Scotland free church
...sides also which subtend, or are opposite to the equal angles, shall be equal to one another. Or—Any two angles of a triangle are together less than two right angles. 3. If a straight line be divided into any two parts, the square on the whole line is equal to the squares... | |
 | Edward Atkins - 1877
...side, &c. QED Proposition 17.— Theorem. Any two angles of a triangle are together less than tworigJit angles. Let ABC be any triangle. Any two of its angles together shall be less than two right angles. CONSTRUCTION. — Produce BC to D. PROOF. — Because ACD is the... | |
 | James Maurice Wilson - 1878
...perpendicular, OQ an oblique ; it is required to prove first that OP is less than OQ. Proof. Since any two angles of a triangle are together less than two right angles; (Th. 18.) therefore OPQ and OQP are together less than two right angles : but OPQ is a right angle... | |
 | Thomas Hunter - 1878 - 132 sider
...BC and bisecting AB, it can be demonstrated that ABG, or its equal, DEC, is greater than CAB. Cor. Any two angles of a triangle are together less than two right angles. Because the exterior angle is greater than either of the interior and opposite angles; to this inequality... | |
 | Euclides - 1879
...exterior angles of a triangle are together greater than two right angles. PROPOSITION XVII. THEOREM. Any two angles of a triangle are together less than two right angles. Let ABC be A. Then any two of its Z. s together shall be less than two rt. Z. s. ° CD Constr. Produce any side... | |
 | Isaac Sharpless - 1879 - 266 sider
...greater than ABC. ANALYSIS. (By Const.), " BE= EF—f (I. 7), BA E= ECF Proposition 19. Theorem.—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, because... | |
 | W J. Dickinson - 1879 - 36 sider
...D, and bisect the angle CBD. Show that the two bisecting lines are at right angles. 17. Prove that any two angles of a triangle are together less than two right angles. 18. Give Euclid's definition of a plane rectilineal angle and of a triangle. Prove that the greater... | |
 | Edward Harri Mathews - 1879
...contained by those sides equal to one another, they shall also have their bases or -third sides equal. 2. Any two angles of a triangle are together less than two right angles. 3. The opposite sides and angles of a parallelogram are equal to one another. 4. If two isosceles triangles... | |
 | Rolla Rouse - 1879
...triangle be extended, the exterior angle is greater than either of the interior and opposed angles, 3 108 Any two angles of a triangle are together less than two right angles, 4 ... ... ... ... ... „ If one side of a triangle be greater than the second, the angle opposed to... | |
 | Moffatt and Paige - 1879
...is necessary to stipulate that the given straight line must be of unlimited length. (5) Prove that any two angles of a triangle are together less than two right angles. (6) If one side of a triangle be produced, the exterior angle is greater than either of the interior... | |
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ANY two angles of a triangle are together less than two right angles. 
