 | Euclid - 1826 - 234 pagina’s
...three remaining sides equal to each other. PROPOSITION XXXII * THEOREM. One side of any triangle being produced, the exterior angle is equal to the two interior...opposite angles, and the three interior angles of a triangle are equal to two right angles. Let ABC be a triangle ; and let one of its sides вс be... | |
 | Euclid, John Playfair - 1826 - 326 pagina’s
...Whieh was to be done. PROP. XXXII. THEOR. If a side of any triangle be produeed, the exterior ah^ gle is equal to the two interior and opposite angles ;...and the three interior angles Of every triangle are equal to two right angles. Let ABC be a trianelp, and let one of its sides BC be produeed to D; the... | |
 | Robert Simson - 1827 - 546 pagina’s
...the given point A, parallel to the given straight line BC. Which was to be done. PROP. XXXII. THEOR. If a side of any triangle be produced, the exterior...and the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D : the... | |
 | John Playfair - 1829 - 210 pagina’s
...the given line BC. Which was to be done. PROPOSITION XXXII. THEOREM.* 1. If any side of a rectilineal triangle be produced, the exterior angle is equal to the two interior and opposite angles taken together. Let ABC be a triangle, and let a side BC be produced to D; the exterior angle ACD is... | |
 | John Playfair - 1832 - 358 pagina’s
...point A parallel to the given straight line BC. Which was to be done. PROP. XXXII. THEOR. If aside of any triangle be produced, the exterior angle is...and the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D; the... | |
 | John Playfair - 1833 - 346 pagina’s
...the given point A parallel to the given straight line BC. Which was to be done. PROP. XXXII. THEOR. If a- side of any triangle be produced, the exterior...angle is equal to the two interior and opposite angles ; anS- the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle,... | |
 | Euclid - 1835 - 540 pagina’s
...given point A parallel to the given ^-Y"**' straight line BC. Which was to be done. PROP. XXXII. THEOR. If a side of any triangle be produced, the exterior...and the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D ; the... | |
 | John Playfair - 1835 - 336 pagina’s
...equal to it. In that case, CAI and EDF would be together equal to two right angles. PROP. XXV. THEOR. If a side of any triangle be produced, the exterior...equal to the two interior and opposite angles ; and (he three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and... | |
 | 1835 - 684 pagina’s
...(o) The three angles of a triaugle are together equal to two right angles; and if one of the sides be produced, the exterior angle is equal to the two interior and opposite angles . 14 (/>) In a right angled triaugle — 1. One of the angles, viz. the right angle, is equal to the... | |
 | John Fellows - 1835 - 432 pagina’s
...four. Of the geometrical theorems ascribed to Pythagoras, the following are the principal: that the interior angles of every triangle are together equal to two right angles; that the only polygons which fill up the whole space about a given point, are the equilateral triangle,... | |
| |
IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles. 
