 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Solid - 1922 - 236 pages
...without a circle, the distances from the intersection to the points of tangency are equal. THEOREM 71 . A perpendicular to a tangent at the point of contact passes through the center of the circle. MEASUREMENT OF ANGLES As. 53. The measure of a central angle and its intercepted... | |
 | Edson Homer Taylor, Fiske Allen - Mathematics - 1923 - 104 pages
...center to the tangent is longer than the radius drawn to the point of contact. 139. Corollary 2. The perpendicular to a tangent at the point of contact passes through the center of the circle. Show that the perpendicular to the tangent at the point of contact is the same... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...204. COR. 1. A tangent is perpendicular to the radius drawn to the point of contact. ยง 205. COR. 2. A perpendicular to a tangent at the point of contact passes through the center of the circle. 206. COR. 3. A perpendicular from the center to a tangent meets it at the point... | |
 | Julius J. H. Hayn - Geometry, Plane - 1925 - 328 pages
...are tangent to each other, their centers and the point of tangency are in a straight line. 23. The perpendicular to a tangent, at the point of contact, passes through the center of the circle. The student will, of course, understand that in no case is he to use the proposition... | |
 | William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 356 pages
...of contact. For OC is the shortest line from OtoAB, and is therefore -L to AB. 272. COROLLARY 2. A perpendicular to a tangent at the point of contact passes through the center of the circle. For the radius drawn to the point of contact is JL to the tangent, and therefore... | |
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Hence, conversely, a line drawn perpendicular to a tangent, at the point of contact, passes through the centre of the circle. 
