 | Education - 1862 - 752 pages
...the sphere, is the arc of a great circle which joins the two given points. The sum of the sides of n spherical triangle, or of any spherical polygon, is...situated on the same sphere, or on equal spheres, are equai in all their parts, 1° when they have an equal angle included between sides respectively equal... | |
 | Henry Barnard - Military education - 1862 - 410 pages
...circle.—They serve to trace arcs of circles on the sphere. Measure of the angle of two arcs of great circles. Every plane perpendicular to the extremity of a radius is tangent to the sphere. Two spherical triangles situated on the same sphere, or on equal spheres, are equiu in all their parts,... | |
 | Education - 1863 - 768 pages
...circumference of a great circle. Poles of an arc of a great or small circle.— They serve to trace arcs or* circles on the sphere. Every plane perpendicular to...situated on the same sphere, or on equal spheres, are equai in all their parts, 1° when they have an equal angle included between sides respectively equal... | |
 | Henry Barnard - Military education - 1872 - 988 pages
...is also true of any cylinder, right or oblique, of any base whatever. Of the spliere. .Every section of the sphere, made by a plane, is a circle. — Great...situated on the same sphere, or on equal spheres, are equai in all their parts, 1° when they have an equal angle included between sides respectively equal... | |
 | 1902 - 486 pages
...the center. A sphere is tangent to a plane when the plane touches the surface in only one point. A plane perpendicular to the extremity of a radius is tangent to the sphere. CONIC SECTIONS. If a plane intersects a cone the geometrical figures thus formed are called conic sections.... | |
 | American School (Lansing, Ill.) - Algebra - 1902 - 80 pages
...diameter. 296. A sphere is tangent to a plane when the plane touches the sphere in only one point. A plane perpendicular to the extremity of a radius is tangent to the sphere. Example. Find the surface of a sphere which is 9 inches in diameter. 9 2 = 81. 81 X 3.1416 = 254.4696... | |
 | American School (Chicago, Ill.) - Engineering - 1903 - 426 pages
...diameter. 296. A sphere is tangent to а ¡Лаnе when the plane touches the sphere in only one point. A plane perpendicular to the extremity of a radius is tangent to the sphere. 297. Surface. To find the surface of a sphere, multiply the square of the diameter by 3.1416. Example.... | |
 | American School (Chicago, Ill.) - Engineering - 1906 - 580 pages
...the center. A sphere is taui/eat to a plane when the plane touches the surface in only one point. A plane perpendicular to the extremity of a radius is tangent to the sphere. CONIC SECTIONS. If a plane intersects a cone the geometrical figures thus formed are called conic sections.... | |
 | American School (Lansing, Ill.) - Architectural drawing - 1906 - 426 pages
...the center. A sphere is tangent to a plane when the plane touches the surface in only one point. A plane perpendicular to the extremity of a radius is tangent to the sphere. CONIC SECTIONS. If a plane intersects a cone the geometrical figures thus formed are called conic sections.... | |
 | American School (Lansing, Ill.) - Architecture - 1907 - 360 pages
...the center. A sphere is tangent to a plane when the plane touches the surface in only one point. A plane perpendicular to 'the extremity of a radius is tangent to the sphere. CONIC SECTIONS. If a plane intersects a cone the geometrical figures thus formed are called conic sections.... | |
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The . shortest path from one point to another, on the surface of the sphere, is the arc of a great circle which joins the two given points. The sum of the sides of a spherical triangle, or of any spherical polygon, is less than the circumference of a... 
