 | John Robertson (LL.D., of Upton Park sch.) - 1882 - 152 sider
...double of the square on half the line and of the square on the line between the points of section. 4. Any two angles of a triangle are together less than two right angles. 5. If a straight line be divided into any two parts, the rectangle contained by the whole line and... | |
 | Marianne Nops - 1882 - 278 sider
...is greater than L ABC. Prop. 17. A simple theorem follows this somewhat intricate demonstration : ' Any two angles of a triangle are together less than two right angles.' To show this we must compare them with two angles which either are or are together equal to two right... | |
 | College of preceptors - 1882 - 528 sider
...extremity of the base, and have likewise equal those sides which are terminated at the other extremity. 3. Any two angles of a triangle are together less than two right angles. 4. If a straight line fall on two parallel straight lines, it shall make the alternate angles equal... | |
 | Euclides - 1883 - 176 sider
...on the base must fall without the triangle, towards the side on which is the obtuse angle. PROP. 17. THEOR. Any two angles of a triangle are together less than two right angles. Given A ABC. To prove any two of its angles, as LB + L ACB, < 2 Lr-s. Produce BC to D. •: L ACD >... | |
 | Mathematical association - 1883 - 86 sider
...is produced, the exterior angle is greater than either of the interior opposite angles. THEOR. 10. Any two angles of a triangle are together less than two right angles. COR. 1. If a triangle has one right angle or obtuse angle, its remaining angles are acute. COR. 2.... | |
 | Euclid, Isaac Todhunter - 1883 - 428 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... | |
 | J. McD. Scott - 1883 - 104 sider
...shall, if produced, meet upon that side. This, it will be seen, is the converse of the proposition, that any two angles of a triangle are together, *less than two right angles. Neither postulate nor axiom is needed but once ; namely, to prove that lines which are parallel to... | |
 | Euclides, James Hamblin Smith - 1883 - 376 sider
...given line ; the perpendicular will fall on the side of the acute angle. PROPOSITION XVII. THEOREM. Any two angles of a triangle are together less than two right angleg. c jo Let ABC be any A . Then must any two of its L s be together less than two rt. L s. Produce... | |
 | Mathematical association - 1884 - 146 sider
...of the angles of the triangle FBC is equal to the sum of the angles of the triangle ABC. TIIKOR. 10. 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 be together less than two right angles. Produce BC to... | |
 | Association for the improvement of geometrical teaching - 1884 - 150 sider
...of the angles of the triangle FBC is equal to the sum of the angles of the triangle ABC. THROB. 10. 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 be together less than two right angles. Produce BC to... | |
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Any two angles of a triangle are together less than two right angles. Let ABC be any triangle ; any two of its angles together are less than two right angles. 
