 | Euclid, John Playfair - 1846 - 334 σελίδες
...demonstrated that the angle BCG, that is (15. 1.), the angle ACD, is greater than the angle ABC. PROP. XVII. THEOR. . Any two angles of a triangle are together...because ACD is the exterior angle of the triangle ABC, ACD is greater (16. 1.) than the interior and opposite angle ABC ; to each of these add the angle ACB;... | |
 | Great Britain. Admiralty - 1846 - 128 σελίδες
...shown, that Prop. 14. L BCG or L ACD > L ABC. Therefore, if one side, &c. PROP. XVI. THEOR. 17. IEu. Any two angles of a triangle are together less than two right angles. Let ABC be any ^, any two of its L s are together less than 2 rt. /_ s. B CD Produce BC to D. Prop. is. '.' ext. L... | |
 | John Playfair - 1847 - 340 σελίδες
...demonstrated that the angle BCG, that is (15. 1.), the angle ACD; is greater than the angle ABC. PROP. XVII. THEOR. Any two angles of a triangle are together...than two right angles. Let ABC be any triangle ; any A two of its angles together are less than two right angles. Produce BC to D ; and because ACD is the... | |
 | Euclides - 1847 - 128 σελίδες
...QED COR. — A circle cannot cut a st. line in more pts. than two. PROP. XVII. THEOR. GEN. ENUN. — Any two angles of a triangle are together less than two right angles. PART. ENUN. — Let ABC be any A. Then any two of its Z s are together less than two rt. Z8. DEMONST.... | |
 | Henry Pickton - 1847 - 84 σελίδες
...sides of a triangle taken together are greater than the third side. (See EUCLID, Book I. Prop, xx.) 5. Any two angles of a triangle are together less than two right angles. (See EUCLID, Book I. Prop, xxii.) 6. Triangles on the same base and between the same parallels are... | |
 | Euclides - 1848 - 52 σελίδες
...produced, the exterior angle is greater than either of the interior opposite angles. PROP. XVII. THEOREM. Any two angles of a triangle are together less than two right angles. PROP. XVIII. THEOREM. The greater side of every triangle is opposite to the greater angle. PROP. XIX.... | |
 | Euclid, Thomas Tate - 1849 - 120 σελίδες
...(i. 15.), the angle ACD, is greater than the angle ABC. Therefore, if one side, &c. QED PROP. XVLL THEOR. Any two angles of a triangle are together less...because ACD is the exterior angle of the triangle ABC, ACD is greater (i. 16.) than the interior and opposite angle ABC ; to each of these add the angle ACB;... | |
 | Great Britain. Committee on Education - 1850 - 790 σελίδες
...been made to it ? 3. Distinguish between a direct and indirect demonstration. Section 2. 1. Show that any two angles of a triangle are together less than two right angles. •2. Draw a straight line through a given point parallel to a given straight line. 3. Show that in... | |
 | 1851 - 382 σελίδες
...had he ? 14 1 Geometry and Mensuration. 1. Bisect a given finite straight line, _ 16 _ 2. Prove that any two angles of a triangle are, together, less than two right angles, . . -, J5Examination Questions — continued. Total Number of Men Examined. Number of Satisfactory... | |
 | Euclides - 1852 - 48 σελίδες
...(Prop. 15.) ; therefore CBD is also greater than CAB. Which was to be demonstrated. PROP. ХVII. THEOB. Any two angles of a triangle are together less than two right angles. Let ABC be a triangle; any two of its angles are together less than two right angles. Produce the side AC to D... | |
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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. 
