 | Francis Cuthbertson - 1874 - 400 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... | |
 | Euclides - 1874 - 120 sider
...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... | |
 | William Alexander Myers - 1874 - 207 sider
...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... | |
 | Education Department,London - 1876 - 1010 sider
...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... | |
 | Richard Wormell - 1876 - 268 sider
...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... | |
 | Association for the improvement of geometrical teaching - 1876 - 66 sider
...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.... | |
 | 1876 - 710 sider
...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 - 382 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 - 446 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 - 130 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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ANY two angles of a triangle are together less than two right angles. 
