 | Euclid, Thomas Tate - 1849 - 120 pages
...any number of 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...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... | |
 | John Playfair - Euclid's Elements - 1849 - 332 pages
...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 pages
...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 - School buildings - 1850 - 790 pages
...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... | |
 | Education - 1850 - 488 pages
...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... | |
 | Henry Aldrich - Logic - 1850 - 406 pages
...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... | |
 | 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 - 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... | |
 | 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... | |
 | Euclides - Geometry - 1853 - 176 pages
...lines meeting in one point, are together equal to four right angles. PROPOSITION XVI. — THEOREM. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. LET ab С be a triangle, and let its side b С be produced to d, the exterior angle a С d is greater... | |
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If one side of a triangle be produced, the exterior angle is greater than either of the interior, and opposite angles. 
