 | French Ensor Chadwick - Merchant marine - 1880 - 222 pages
...SENIOR PUPIL TEACHERS — SIXTH YEAH. SPHERICAL TRIGONOMETRY. (Time allowed, 3 hours.) 1. Prove that every section of a sphere made by a plane is a circle. 2. In spherical triangle ABC, given a — 87° 10' 15", ft = 62° 36' 45", and c=100° 10' 15"; find... | |
 | George Anthony Hill - Geometry - 1880 - 348 pages
...are circles differing in size, the largest being that which passes through the centre of the orange. Every section of a sphere made by a plane is a circle. If the section passes through the centre of the sphere, it is called a great circle ; in all other... | |
 | Charles Scott Venable - 1881 - 380 pages
...The demonstration is exactly the same as that of Proposition III., Book II. PROPOSITION II. THEOREM. Every section of a sphere, made by a plane, is a circle. Let AMD be a section made by a plane in the sphere whose centre is C. From the point C, draw CO, perpendicular... | |
 | Education, Higher - 1881 - 504 pages
...zenith, the zenith distance and altitude of a star, arimuth, solstice, oblate spheroid. 6. Prove : Every section of a sphere made by a plane is a circle. Any two great circles bisect the one the other. 7. Explain the causes of solar and lunar eclipses.... | |
 | Edward Olney - Geometry - 1883 - 352 pages
...The diameter is equal to twice the radius. CIRCLES OF THE SPHERE. PROPOSITION I. 649. Theorem. — Every section of a sphere made by a plane is a circle. DEMONSTRATION. Let AFEBD be a section of a sphere, whose centre is O, made by a plane; then is the... | |
 | F. B. Stevens - Examinations - 1884 - 202 pages
...are respectively equal to three faces similarly placed including a triedral angle of the other. 9. Every section of a sphere made by a plane is a circle. 10. Between what two limits does the sum of the angles of a spherical triangle lie? Write expressions... | |
 | James Maurice Wilson - Conic sections - 1885 - 180 pages
...semicircle describes a circle whose plane is at right angles to AB, and centre lies in AB. THEOREM 35. Every section of a sphere made by a plane is a circle. Let a plane RQR' cut the sphere -whose centre is O ; then shall the section *' be a circle. Draw ON perpendicular... | |
 | Henry McCormick - Geography - 1885 - 424 pages
...The diameter of a sphere is a straight line drawn through the center and terminating in the surface. Every section of a sphere made by a plane is a circle. If an orange be cut into two parts, each cut surface is a circle. A great circle of a sphere is one... | |
 | United States. Congress. Senate - United States - 1880 - 1304 pages
...Si MOR PUPIL TEACHEHS — SIXTH YEAR. SPHERICAL TRIGONOMETRY. (Timo allowed, 3 hours.) 1. Prove that every section of a sphere made by a plane is a circle. 2. In spherical triangle А В С, given a = 87° 10' 15", Ь = 62° 36' 45", and с = 100^ 10' 15";... | |
 | Education - 1886 - 636 pages
...pyramid is onethird of a triangular prism of the same base and altitude. ' ' 10. (80) Demonstrate that "every section of a sphere made by a plane is a circle." achy ILLINOIS SCHOOL JOURNAL. [DECEMBER, 1 ILLINOIS SCHOOL JOURNAL A MONTHLY EDUCATIONAL MAGAZINE.... | |
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Every section of a sphere, made by a plane, is a circle, Let AMB be a section, made by a plane, in the sphere whose centre is C. 
