 | Adrien Marie Legendre - Geometry - 1819 - 574 pages
...the diameters also are equal, and each double of the radius. 439. It will be demonstrated art. 452, that every section of a sphere made by a plane is a circle. This being supposed, we call a great circle the section made by a plane which passes through the centre,... | |
 | Robert Woodhouse - Plane trigonometry - 1819 - 300 pages
...called rectangular, isosceles, equilateral, in the same cases that a plane triangle isPROPOSITION I. Every section of a sphere made by a plane is a circle. Let AnBm be the plane, draw CO * perpendicular to it, which consequently, (by Euclid, Book XI. Def.... | |
 | Adrien Marie Legendre - Geometry - 1822 - 394 pages
...sector, j as DCF or FCH, describes a solid, which is named a spherical sector. PROPOSITION I. THEOREM. Every section of a sphere, made by a plane, is a circle. Let AMB be the section, made by a plane, in the sphere whose centre is C. From the point C, draw CO... | |
 | Robert Woodhouse - Trigonometry - 1822 - 282 pages
...called rectangular, isosceles, equilateralj in the same cases that a plane triangle is. PRoPoSITIoN I. Every section of a sphere made by a plane is a circle. Let An Bn be the plane, draw СO* perpendicular to it, which consequently, (by Euclid, Book XI. Def.... | |
 | Adrien Marie Legendre - 1825 - 570 pages
...the diameters also are equal, and each double of the radius. 439. It will be demonstrated art. 452, that every section of a sphere made by a plane is a circle. This being supposed, we call a great circle the section made by a plane which passes through the centre,... | |
 | Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...the diameters also are equal, and each double of the radius. 439. It will be demonstrated art. 452, that every section of a sphere made by a plane is a circle. This being supposed, we call a great circle the section made by a plane which passes through the centre,... | |
 | Adrien Marie Legendre, John Farrar - Geometry - 1825 - 294 pages
...the diameters also are equal, and each double of the radius. 439. It will be demonstrated art. 452, that every section of a sphere made by a plane is a circle. This being supposed, we call a great circle the section made by a plane which passes through the centre,... | |
 | Charles Frederick Partington - Building - 1825 - 342 pages
...be circles, provided that the axis of the cylinder, or cone, tend to the centre of the sphere. For every section of a sphere made by a plane is a circle, and every section of a right cylinder, or cone, perpendicular to the axis, is also a circle. Let the... | |
 | George Darley - 1827 - 150 pages
...from the centre of a sphere, and terminated in the surface, is called a Radius of the sphere. ART. 5. Every section of a sphere, made by a plane, is a circle. Let A DUMA be a plane 1 section of a sphere. Then, ADBEA is a circle. DEM. First; If the plane pass... | |
 | Charles Brooke - Mathematics - 1829 - 386 pages
...(W. Ch. v; L. 72—84; Leg. 53—7; C. 559—615.) SPHERICAL TEIGONOMETEY. (21.) General Principles. Every section of a sphere made by a plane is a Circle. The distance between the poles of two great circles is equal to the inclination of their planes. The... | |
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that every section of a sphere, made by a plane, is a circle. 
