 | John Aikin - Biography - 1813 - 720 pages
...arithmetic, a line to two, a superficies to three, a solid to four. Of the geometrical theorems ascribed to Pythagoras, the following are the principal : that...that the only polygons which will fill up the whole space about a given point, are the equilateral triangle, the square, and the hexagon ; the first to... | |
 | Johann Jakob Brucker, William Enfield - Philosophy - 1819 - 540 pages
...Porph. n. 30. Jambl. c. xxv. n. 65. " .&lian, 1. xiv. c, 33. "Boeth. deMus. 1. iv. c. 14. Pythagorjis, the following are the principal : that the interior...that the only polygons Which will fill up the whole space about a given point, are the equilateral triangle, the square, and the hexagon ; the first to... | |
 | Anthony Nesbit, W. Little - Measurement - 1822 - 916 pages
...; 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... | |
 | John Fellows - 1835 - 432 pages
...arithmetic, a line to two, a superficies to threei a solid to four. Of the geometrical theorems ascribed to Pythagoras, the following are the principal: that...to two right angles; that the only polygons which fill up the whole space about a given point, are the equilateral triangle, the square, and the hexagon... | |
 | Charles Reiner - Geometry - 1837 - 254 pages
...SUBSTANCE OF SECTION III. / \ 1. Any two angles of a triangle are together less than two right angles. 2. The interior angles of every triangle are together equal to two right angles. 3. A right-angled triangle is that which has a right angle. 5. An acute-angled triangle is that which... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...triangle be produced, the exterior angle is equal to the two interior and remote angles ; and the three interior angles of every triangle are together equal to two right angles. Let the side BC of the triangle ABC be produced to D : the exterior angle A CD is equal to the two... | |
 | sir William Cathcart Boyd - 1843 - 444 pages
...line to two, a superficies to three, and a solid to four. Of the geometrical theorems ascribed to him, the following are the principal : that the interior...that the only polygons which will fill up the whole space about a given point, are the equilateral triangle, the square, and the hexagon — the first... | |
 | Scotland free church, gen. assembly - 1847 - 554 pages
...CLASS-GEOMETRY. 1. The greater side of every triangle has the greater angle opposite to it. 2. The three interior angles of every triangle are together equal to two right angles. 3. Parallelograms upon equal bases, and between the same parallels, are equal. 4. If a straight line... | |
 | Euclides - 1845 - 546 pages
...triangle be produced, the exterior angle is equal to the Iwo interior and opposite angles; and Ihe three interior angles of every triangle are together equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D. Then the exterior angle ACD shall... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...produced, (l) the exterior angle is equal to the two interior and remote angles ; and (2) the three interior angles of every triangle are together equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D : (1 ) the exterior angle ACD is... | |
| |
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. 
