| Euclid, John Playfair - 1826 - 320 pagine
...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 ;...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 exterior angle ACD is equal... | |
| Euclides - 1826
...angle equal to a given rectilineal angle. 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. Eoint c draw CE parallel to the right neAB ; a and because... | |
| Euclid - 1826 - 180 pagine
...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... | |
| Robert Simson - 1827 - 513 pagine
...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...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 exterior angle ACD shall... | |
| John Playfair - 1829 - 186 pagine
...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 - 333 pagine
...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...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 exterior angle ACD is equal... | |
| John Playfair - 1833 - 333 pagine
...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,... | |
| Thomas Perronet Thompson - 1833 - 150 pagine
...side of a triangle be prolonged, &c. Which was to be demonstrated. PROPOSITION XXXII. THEOBEM. — **The three interior angles of every triangle are equal to two right angles.** Let ABC be a triangle. The three interior A angles CAB, ABC, and BCA, are together equal to two right... | |
| Euclid - 1835 - 513 pagine
...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...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 exterior angle ACD is equal... | |
| John Playfair - 1835 - 316 pagine
...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... | |
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