 | Geography - 1867 - 964 pages
...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 - Early works to 1800 - 1791 - 610 pages
...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 Aikin - Biography - 1813 - 720 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 will fill up the whole space about a given point, are the equilateral... | |
 | Johann Jakob Brucker, William Enfield - Philosophy - 1819 - 540 pages
...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 - Measurement - 1822 - 916 pages
...Let ABC be a triangle, and let one of its sides BC be produced to D ; the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC;...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... | |
 | Anthony Nesbit - Surveying - 1824 - 476 pages
...Let ABC be a triangle, and let one of its sides BC be produced to D ; the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC;...interior angles of every triangle are together equal ta two right angles. (Euc. 1. 32. Simp. I. 9 # 10. Em. II. 1 $ %.} B CD THEOREM V. Let the parallelograms... | |
 | 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,... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...of any 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... | |
 | Charles Reiner - Geometry - 1837 - 246 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... | |
 | Scotland free church, gen. assembly - 1847 - 554 pages
...FIRST 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... | |
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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. 
