 | Euclid, John Playfair - 1846 - 334 sider
...of straight lines meeting- 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 than either of the interior, and opposite angles. Let ABC be a triangle, and let its side BC be produced to D, the exterior angle... | |
 | Euclides - 1847 - 128 sider
...DG, drawn from c, D, and meeting in o, make = L • with AB. — QEF PROP. XVI. THEOR. GEN. ENUN. — If one side of a triangle be produced, the exterior angle is greater than cither of the interior opposite angles. PART. ENUN. — Let a side BC of any A ABC be produced to D... | |
 | Euclides - 1848 - 52 sider
...number of lines meeting in one point, are together equal to four right angles. PROP. XVI. THEOREM. If one side of a triangle be produced, the exterior...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.... | |
 | John Playfair - 1849 - 332 sider
...lines meeting in one point, are together equal to four right angles. ^ PROP. XVI. THEOR. If one fide of a triangle be produced, the exterior angle is greater than either of the interior, and opposite angles. Let ABC be a triangle, and let its side BC be produced to D, the exterior angle... | |
 | 1850 - 400 sider
...suspended from B; find the thrusts on AC, and the strains upon AD and DC. •_ III.—ffiutlfo. I. IF one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. 2. If a right line be divided into two equal parts, and also into two unequal parts; the rectangle... | |
 | Great Britain. Committee on Education - 1850 - 790 sider
...another upon one side of it are either two right angles, or are together equal to two right angles. 2. If one side of a triangle be produced, the exterior angle is greater than either of the two interior opposite angles. 3. If a square described on one of the sides of a triangle be equal to... | |
 | Henry Aldrich - 1850 - 406 sider
...Euclid proves it, the argument would be a circle. For he has first proved on independent principles that the exterior angle is greater than either of the interior opposite angles; and by this (through an intermediate process) arrives at the further truth of its equality to the two... | |
 | 1850 - 488 sider
...side together equal to two right angles: the two straight lines shall be parallel to one another. 2. If one side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are... | |
 | 1867 - 336 sider
...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 - 48 sider
...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... | |
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If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 
