 | Stanford University - 1900 - 722 pages
...the locus of a point equidistant from three given points. 5. Prove that the surface of a sphere is the product of its diameter by the circumference of a great circle. 6. Prove that if two triangles have their vertices' upon three concurrent lines, the intersections... | |
 | Isaac Oscar Winslow - Arithmetic - 1901 - 298 pages
...Stone is reckoned in cubic feet, in cords, or in perches. A perch is 24f cu. ft. For Reference Surface. The surface of a sphere is equal to the product of its diameter and its circumference. See also lateral surface. Trapezoid. A trapezoid is a quadrilateral, two of... | |
 | Isaac Oscar Winslow - Arithmetic - 1901 - 286 pages
...surface of a sphere is equal to the lateral surface of a cylinder of the same height. In other words, the surface of a sphere is equal to the product of its circumference and its diameter. 1. Find the convex surface of a cylinder 20 in. long whose diameter... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 246 pages
...AE and CD coincide, and the truth follows from § 722. PROPOSITION XXVII. THEOREM. 823. The area of the surface of a sphere is equal to the product of...its diameter by the circumference of a great circle. AF a E Let S denote the surface, R the radius, of a sphere generated by the semicircle ABCDE revolving... | |
 | Alan Sanders - Geometry - 1903 - 396 pages
...the surface generated by the perimeter of the regular semipolygon. PROPOSITION XXVIII. THEOREM 1184. The surface of a sphere is equal to the product of...diameter by the circumference of a great circle. Let the semicircle ACH, with the regular inscribed semipolygon A XYB, be revolved about the diameter AB... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...AE and CD coincide, and the truth follows from § 722. PROPOSITION XXVII. THEOREM. 823. The area of the surface of a sphere is equal to the product of...its diameter by the circumference of a great circle. ^^^^^^ p AF 0 OE Let S denote the surface, R the radius, of a sphere generated by the semicircle ABCDE... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...conclusion follows from § 736. SOLID GEOMETRY— BOOK VIII PROPOSITION XXVII. THEOREM 829 The area of the surface of a sphere is equal to the product of...its diameter by the circumference of a great circle. o HYPOTHESIS. S is the area of the surface and R the radius of a sphere generated by the semicircle... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...conclusion follows from § 736. SOLID GEOMETRY — BOOK VIII PROPOSITION XXVII. THEOREM 829 The area of the surface of a sphere is equal to the product of...its diameter by the circumference of a great circle. o HYPOTHESIS. S is the area of the surface and R the radius of a sphere generated by the semicircle... | |
 | Michigan. Department of Public Instruction - Education - 1908 - 324 pages
...a spherical triangle is more than two right angles and less than six right angles. Demonstrate. 9. The surface of a sphere is equal to the product of...its diameter by the circumference of a great circle. Demonstrate. 10. Demonstrate: What is the volume of a spherical segment? GERMAN. 1. Decline in German:... | |
 | United States. Office of Education - 1911 - 1154 pages
...line. 7. State and prove a formula for the volume of a triangular pyramid. 8. Prove that the area of the surface of a sphere is equal to the product of...Its diameter by the circumference of a great circle. State a mle for the area of a zone. 9. The corner of a cube is cut off by a plane passing through the... | |
| |
The surface of a sphere is equal to the product of its diameter by the circumference of a great circle. 
