 | William Alexander Myers - Circle-squaring - 1874 - 207 pages
...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... | |
 | 1876 - 710 pages
...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.... | |
 | 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... | |
 | 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.... | |
 | 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.... | |
 | 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
...line, but only two. 5. The difference of any two sides of a triangle is greater than the third side. PROPOSITION XVII. THEOREM. Any two angles of a triangle...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. Produce BC... | |
 | 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... | |
 | James Maurice Wilson - 1878 - 450 pages
...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... | |
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Any two angles of a triangle are together less than two right angles. 
