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 together equal to two right angles. Transactions - Pagina 126di Institution of Civil Engineers of Ireland - 1906Visualizzazione completa - Informazioni su questo libro
| 1867 - 964 pagine
...в together make up the angle r> с в, which is therefore equal to the angles с в А, в A c. 7. The three interior angles of every triangle are together equal to two right anglet. In Fig. 5 the angle BCD has been shown to be equal to the angles с в А, в А с ; to each... | |
| William Enfield, Johann Jakob Brucker - 1791 - 610 pagine
...four. Of the geometrical theorems afcribed 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 will fill up the whole fpace about a given point, are the equilateral... | |
| John Playfair - 1806 - 320 pagine
...I. 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...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... | |
| Robert Simson - 1806 - 546 pagine
...straight line BC. Which was to be done. i»» —i PROP. XXXII. THEOR. IF a side of any triangle be produced, the exterior angle is equal to the two interior...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 Aikin - 1813 - 720 pagine
...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 will fill up the whole space about a given point, are the equilateral... | |
| Euclides - 1816 - 588 pagine
...given straight line BC. Which was to * 27' 1. be done. PROP. XXXII. THEOR. IF a side of any triangle be produced, the exterior angle is equal to the two interior...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 - 1819 - 350 pagine
...done. PROP. xxxn. THEOR.. If a side of any triangle be produced, the exterior ang.Le is equal tojhe two interior and opposite angles ; 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... | |
| Johann Jakob Brucker, William Enfield - 1819 - 540 pagine
...1. xiv. c, 33. "Boeth. deMus. 1. iv. c. 14. Pythagorjis, the following are the principal : that the interior angles of every triangle are together equal to two right angles ; that the only polygons Which will fill up the whole space about a given point, are the equilateral... | |
| Anthony Nesbit, W. Little - 1822 - 916 pagine
...produced to D ; the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC; also the three interior angles of every triangle are together equal to two right angles. (Em. I. 32. Simp. I. 9, 10. Em. IL I, 2 J A C THEOREM V. Let the parallelograms ABCD, DBCEbe upon the... | |
| Peter Nicholson - 1825 - 1046 pagine
...done. Proposition XXXII. Theorem. If a side of any triangle be produced, the exterior angle is eqnA to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles. D; the exterior angle ACD is equal to the two interior аь. opposite angle:... | |
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