 | Richard Wormell - 1876 - 268 pages
...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 - Geometry, Modern - 1876 - 66 pages
...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.... | |
 | Education Department,London - 1876 - 1010 pages
...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... | |
 | Euclides, James Hamblin SMITH - 1876 - 382 pages
...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.... | |
 | Edward Atkins - 1876 - 130 pages
...&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... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...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... | |
 | Euclides - 1877 - 58 pages
...difference of any two sides of a triangle is greater than the third side. PROPOSITION XVII. THEOREM. Any two angles of a triangle are together less than two right angles. Let ABC be a triangle ; then shall any two of its angles together be less than two right angles. Construction.... | |
 | Edward Atkins - 1877 - 72 pages
...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... | |
 | Scotland free church - 134 pages
...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... | |
 | Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...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... | |
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ANY two angles of a triangle are together less than two right angles. 
