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" A plane perpendicular to a radius at its extremity is tangent to the sphere. Let... "
Solid Geometry - Page 366
by George Albert Wentworth - 1899 - 218 pages
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Elements of Geometry and Trigonometry: With Notes

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...
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Elements of Geometry and Trigonometry

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...
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A Series on Elementary and Higher Geometry, Trigonometry, and Mensuration ...

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...
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Higher Geometry and Trigonometry: Being the Third Part of a Series on ...

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...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

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...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

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...
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Elementary Geometry: With Applications in Mensuration

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...
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Elementary Geometry: With Applications in Mensuration

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...
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Elements of Geometry and Trigonometry

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...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

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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