| Adrien Marie Legendre - Geometry - 1828 - 346 pages
...the same distance, describe the arc PM, which will be the perpendicular required. THEOREM. 469. Every plane perpendicular to a radius at its extremity is tangent to the sphere. Let FAG (see the next figure) be a plane perpendicular to the radius OA, at its extremity A. Any point... | |
| Adrien Marie Legendre - Geometry - 1836 - 394 pages
...great circles might be made to pass through the two given points. PROPOSITION VIII. THEOREM. Every plane perpendicular to A radius at its extremity is tangent to the. sphere. Let FAG be a plane perpendicular to the radius OA, at its extremity A. Any point M in this plane being... | |
| Nathan Scholfield - Conic sections - 1845 - 542 pages
...distance, describe the arc PM, which will be the perpendicular required. PROPOSITION VII. THEOREM. Every plane perpendicular to a radius at its extremity is tangent to the sphere. Let FAG (see the next diagram) be a plane perpendicular to the radius OA, at its extremity A. Any point... | |
| Nathan Scholfield - Conic sections - 1845 - 244 pages
...distance, describe the arc PM, which will be the perpendicular required. PROPOSITION VII. THEOREM. Every plane perpendicular to a radius at its extremity is tangent to the sphere. Let FAG (see the next diagram) be a plane perpendicular to the radius OA, at its extremity A. Any point... | |
| Nathan Scholfield - 1845 - 894 pages
...distance, describe the arc PM, which will be the perpendicular required. 14 PROPOSITION VII. THEOREM. Every plane perpendicular to a radius at its extremity is tangent to the spfiere. Let FAG (see the next diagram) be a plane perpendicular to the radius OA, at its extremity... | |
| Charles Davies - Trigonometry - 1849 - 372 pages
...great circles might be made to pass through the two given points. PROPOSITION VIII. THEOREM. Every plane, perpendicular to a radius at its extremity is tangent to the. sphere. Let FAG be a plane perpendicular to the radius OA. at its extremity A. Any point M in this plane being... | |
| Charles Davies - Geometry - 1850 - 218 pages
...the greater CO is, the less is the chord AB, the diameter of the small circle AMB. THEOREM XXI. Every plane perpendicular to a radius at its extremity is tangent to the sphere. Let FAG be a plane perpendicular to the radius OA, at its extremity A. Any point M, in this plane, being... | |
| Charles Davies - Geometry - 1850 - 238 pages
...the greater CO is, the less is the chord AB, the diameter of the small circle AMB. THEOREM XXI. Every plane perpendicular to a radius at its extremity is tangent to the sphere. Let FAG be a plane perpendicular to the radius OA, at its extremity A. Any point M, in ^iis plane, being... | |
| Adrien Marie Legendre - Geometry - 1852 - 436 pages
...the radius OA, the arc ADB is less than the arc AMB (B. v., P. 17). PROPOSITION VIII. THEOEEM. Every plane perpendicular to a radius at its extremity is tangent to the sphere. Let FAQ. be a plane perpendicular to the radius OA, at its extremity A : then will it be tangent to the... | |
| Charles Davies - Geometry - 1854 - 436 pages
...the radius OA, the arc ADB is less than the arc AMB (B. v., P. 17). PROPOSITION VIII. THEOREM. Every plane perpendicular to a radius at its extremity is tangent to the sphere. Let FAG be a plane perpendicular to the radius OA, at its extremity A : then will it be tangent to the... | |
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