 | George Albert Wentworth - Geometry - 1904 - 496 pages
...S-ABC =0= S'-A'B'C'. § 284 314 PROPOSITION XVIII. THEOREM. 651. The volume of a triangular pyramid is equal to one third of the product of its base by its altitude. Let V denote the volume, B the base, and H the altitude, of the triangular pyramid S-ABC.... | |
 | Fletcher Durell - 1911 - 234 pages
...T=nB (L + B). BOOK VIII. SOLID GEOMETRY PROPOSITION IX. THEOREM 722. The volume of a circular cone is equal to one. third of the product of its base by its altitude. Given a circular cone having its volume denoted by F, its base by B, and its altitude by... | |
 | David Eugene Smith - Geometry - 1911 - 370 pages
...vertex. In either case the proof is essentially the same. THEOREM. The volume of a triangular pyramid is equal to one third of the product of its base by its altitude, and this is also true of any pyramid. This is stated as two theorems in all textbooks, and... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 490 pages
...greater than pyramid v'. .-. F= V'. PROPOSITION XVIII. THEOREM 624. The volume of a triangular pyramid is equal to one third of the product of its base by its altitude. Given v the volume, B the base, and H the altitude of the triangular pyramid E-AKC. To prove... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...greater than pyramid v'. ... v= v'. PROPOSITION XVIII. THEOREM 624. The volume of a triangular pyramid is equal to one third of the product of its base by its altitude. B Given V the volume, B the base, and H the altitude of the triangular pyramid E-ABC. To... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...greater than pyramid V'. .: V= V'. PROPOSITION XVIII. THEOREM 624. The volume of a triangular pyramid is equal to one third of the product of its base by its altitude. Given V the volume, B the base, and H the altitude of the triangular pyramid E-ABC. • To... | |
| |
This pulyedrun may be considered as formed of pyramids, each having for its vertex the centre of the sphere, and for its base one of the faces of the polyedron. 
