| 1867 - 336 pages
...this problem. S. Bisect a given finite straight line. What is to bisect ? Need the line be Suite P 4. **If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles.** Is this Theorem or Problem P Why ? 5. titraiyht lines, which are parallel to the same straight line,... | |
| Euclides - 1852 - 152 pages
...any number of lines meeting in one point, are together equal to four right angles. PEOP. XVI. THEOR. **If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. Let** ABC be a triangle, and let its side BC be produced to D, the exterior angle ACD is greater than either... | |
| Euclides - 1852 - 48 pages
...be proved that the angles DBA and i» EC are equal. Which was to be demonstrated. PROP. XVI. THEOB. **If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. Let** the side AB of the triangle A в c be produced to D ; the exterior angle CBD is greater than either... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...number of lines meeting in one point, are together equal to four right angles. PROPOSITION XVI. THEOR. **If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. Let** ABC be a triangle, and let its side BC be produced to D, the exterior angle ACD is greater than either... | |
| Euclides - 1853 - 146 pages
...number of lines meeting in one point are together equal to four right angles. PROP. XVI. THEOREM. Jf **one side of a triangle be produced, the exterior angle...greater than either of the interior opposite angles. Let** ABC be a triangle, and let its side BC be produced to D, the exterior angle ACL is greater than either... | |
| Euclid, John Playfair - Geometry - 1853 - 336 pages
...of straight linesmeeting in one point, are together equal to four right angles... PROP. XVI. THEOR. **If one side of a triangle be produced, the exterior angle is greater** thai, either of the interior, and opposite angles. Let ABC be a triangle, and let its side BC be produced... | |
| Euclides - 1855 - 270 pages
...and the vertical angles be bisected, the bisecting lines are ¡none and the same straight line. PROP. **XVI. THEOREM. If one side of a triangle be produced,...its side B С be produced to D. The exterior angle A** СD is greater than either of the interior opposite angles С BA, ВAС. Bisect (I. 10) A С in E,... | |
| Robert Potts - 1855 - 1050 pages
...given point there can be drawn to a straight Hoe only two straight lines equal to one another. 10. **If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles.** 12. If a straight line be divided into two equal and also into two unequal parts; the squares of the... | |
| Cambridge univ, exam. papers - 1856 - 200 pages
...of the base equal to one another, and likewise those which are terminated in the other extremity. 3. **If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles.** 4. If from the ends of the side of a triangle, there be drawn two straight lines to a point within... | |
| Euclides - 1856 - 168 pages
...ACE, DBC are together equal to the two FBC, DBC, that is. to two right angles. XIV.— EUCLID I. 32. **If one side of a triangle be produced, the exterior angle is** equal to the two interior and opposite angles; and the three angles of every triangle are together... | |
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