| Francis Cuthbertson - 1874 - 349 sider
...shewn, if AC be produced to G, that L BCG is > the L ABC. But /^CZ?is= LBCG; (1.6) Hence it follows that **Any two angles of a triangle are together less than two right angles. Let** ^.5C be a A. Then shall any two of its angles, as ABC »nd ACB, be together < two right angles. Produce... | |
| WILLIAM ALEXANDER MYERS - 1874
...or theorem, as for example : To describe an equilateral triangle on a given finite straight line, or **any two angles of a triangle are together less than two right angles.** After the general enunciation follows the discussion of the proposition. First, the enunciation is... | |
| Euclides - 1874
...mentioned at the end of the proposition, and show that ACD is greater than ABCPROPOSITION 17. THEOREM. **Any two angles of a triangle are together less than two right angles.** i Let ABC be any triangle : any two of its angles ' • are together loss than two right angles. 0... | |
| Education Department,London - 1876
...all equal, each of the lines is in the same line with one, and at right angles to two of the others. **Any two angles of a triangle are together less than two right angles.** 3. Write out the three postulates of Euclid. The opposite sides of every quadrilateral rectangular... | |
| 1876
...sides those are equal which are opposite to equal angles. [By Superposition and Theor. 9.] THEOR. 18. **Any two angles of a triangle are together less than two right angles.** COR. i. If a triangle has one right angle or obtuse angle, its remaining angles are acute. COR. 2.... | |
| Richard Wormell - 1876
...another, and likewise those which are terminated in the other extremity, equal to one another. 17. **Any two angles of a triangle are together less than two right angles.** .. . If from the ends of one side of a triangle, there be drawn two straight lines to , a point within... | |
| 1876
...Define the terms , an equilateral triangle, an isosceles triangle, a scalene triangle. 4. Prove that **any two angles of a triangle are, together, less than two right angles.** Л. PYoru a given point draw a straight line equal to a given straight line. FIRST AND SECOND DIVISION.... | |
| Euclides, James Hamblin Smith - 1876 - 349 sider
...line ; the perpendicular will fall on the side of the acute angle. PROPOSITION XVII. THEOREM. A ny **two angles of a triangle are together less than two right angles.** 0 Let ABC be any A . Then must any two of its is be together less than two rt. L s. Produce BC to D.... | |
| Robert Potts - 1876 - 403 sider
...than the angle ABC. Therefore, if one side of a triangle, &c. QED PROPOSITION XVIL THEOREM. Any tieo **angles of a triangle are together less than two right angles, Let** ABCbe any triangle. Then any two of its angles together shall be less than two right angles. Produce... | |
| Edward Atkins - 1876 - 119 sider
...&c. QED Proposition 17. — Theorem. Any two angles of a triangle are toyetJier less tJian two rigid **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... | |
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