| Euclid - 1826 - 234 pages
...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 - Euclid's Elements - 1826 - 326 pages
...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 - Trigonometry - 1827 - 546 pages
...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 - Geometry - 1829 - 210 pages
...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 - Euclid's Elements - 1832 - 358 pages
...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 - Euclid's Elements - 1833 - 346 pages
...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 pages
...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 - Euclid's Elements - 1835 - 336 pages
...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... | |
| Mathematics - 1835 - 684 pages
...(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 pages
...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,... | |
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