 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...perpendicular to the radius of a sphere at its extremity is a tangent to the sphere. 700. COR. 2_ Any line or plane tangent to a sphere is perpendicular to the radius drawn to the point of contact. PROPOSITION V. THEORKM 701. A sphere may be circumscribed about any tetraedron. B Hyp. ABCD is a tetraedron.... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...perpendicular to the radius of a sphere at its extremity is a tangent to the sphere. 700. COR. 2. Any line or plane tangent to a sphere is perpendicular to the radius drawn to the point of contact. PROPOSITION V. THEOREM 701. A sphere may be circumscribed about any tetraedron. Hyp. ABCD is a tetraedron.... | |
 | Edward Brooks - Geometry, Modern - 1901 - 278 pages
...the circle at the point D. Def. 8. Therefore, etc. COR. 1. — CONVERSELY : A tangent to the circle is perpendicular to the radius drawn to the point of contact. For any line, as CE, is greater than CF or its equal CD. Hence CD, being the shortest line from C to the tangent,... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...be drawn one and only one perpendicular to this diameter. 189. COROLLARY II. Any tangent to a circle is perpendicular to the radius drawn to the point of contact. For, if not, it must cut the circle at a second point. 190. COROLLARY III. The centre of a circle lies on... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 248 pages
...except P, is without the sphere. Therefore, MN is tangent to the sphere at P. § 741 QED 766. COR. 1. A plane tangent to a sphere is perpendicular to the radius drawn to the point of contact. 767. COR. 2. A line tangent to a circle of a sphere lies in the plane tangent to the sphere at the... | |
 | American School (Chicago, Ill.) - Engineering - 1903 - 390 pages
...tangent to the circumference (article 149). 161. Corollary. Conversely, a tangent to the circumference is perpendicular to the radius drawn to the point of contact. For if AB is tangent to the circumference at C, every point of AB except C lies without the circle. Hence,... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...except P, is without the sphere. Therefore, MN is tangent to the sphere at P. § 741 QED 766. COR. 1. A plane tangent to a sphere is perpendicular to the radius drawn to the point of contact. 767. COR. 2. A line tangent to a circle of a sphere lies in the plane tangent to the sphere at the... | |
 | Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...A, u outside the surface of the sphere). Art. 735. ft. ED 753. COR. 1. A plane, or a line, which is tangent to a sphere, is perpendicular to the radius drawn to the point of contact. Also, if a plane is tangent to a sphere, a perpendicular to the plane at its point of contact passes... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...A, is outside the surface of the sphere), Art. 735. QED 7§8e COR. 1. A plane, or a line, which is tangent to a sphere, is perpendicular to the radius drawn to the point of contact* Also, if a plane is tangent to a sphere, a perpendicufar to the plane at its point of contact passes... | |
 | William Chauvenet - 1905 - 336 pages
...extremities of a diameter, it is the pole of the great circle passing through them. PROPOSITION VII. A plane tangent to a sphere is perpendicular to the radius drawn to the point of contact. Corollary. A plane perpendicular to a radius of a sphere at its extremity is tangent to the sphere.... | |
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A plane tangent to a sphere is perpendicular to the radius drawn to the point of contact. 
