| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 490 pages
...204. COR. 1. A tangent is perpendicular to the radius drawn to the point of contact. 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... | |
| George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...shortest Hue from O to XY, and is therefore ± to XY; that is, XY is J. to OP. 186. COROLLARY 2. A perpendicular to a tangent at the point of contact passes through the center of the circle. For a radius is J. to a tangent at the point of contact, and therefore a J_ erected... | |
| George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 491 pages
...line from 0 to XY, and is therefore _L to XY (§ 86) ; that is, XY is _L to OP. 186. COROLLARY 2. A perpendicular to a tangent at the point of contact passes through the center of the circle. Eor a radius is _L to a ta.nge.nt at the point of contact, and therefore a _L... | |
| Edward Rutledge Robbins - Geometry, Plane - 1915 - 280 pages
...radius.) That is, OA is the shortest line from o to RT. ... OA is i. to RT (87). 204. COROLLARY. The perpendicular to a tangent at the point of contact passes through the center of the circle. (43.) QED PROPOSITION X. THEOREM 205. If two circles are tangent to each other,... | |
| John Charles Stone, James Franklin Millis - Geometry - 1916 - 298 pages
...point of AB except (7. Show that OD> OC by §151, (8), etc. Write the proof in full. EXERCISES 1. The perpendicular to a tangent at the point of contact passes through the center of the circle. SUGGESTION. — Use indirect proof. Draw the radius to the point of contact.... | |
| William Betz - Geometry - 1916 - 536 pages
...of contact. For OC is the shortest line from O to AB, and is therefore J_ 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 J. to the tangent, and therefore... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...204. COR. 1. A tangent is perpendicular to the radius drawn to the point of contact. 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... | |
| Mabel Sykes, Clarence Elmer Comstock - Geometry, Modern - 1918 - 344 pages
...distances from the intersection to the points of tangency are equal. TEST FOR DIAMETERS 147. THEOREM 71. A perpendicular to a tangent at the point of contact passes through the center of the circle. FlG. 207 Hypothesis: In QO, AB is tangent to O0 at A and AC _L AB at A. Conclusion:... | |
| Herbert Ellsworth Slaught - 1918 - 344 pages
...and therefore E would be inside the circle and AB would not be a tangent. 253. COROLLARY 2. A line perpendicular to a tangent at the point of contact passes through the center of the circle. PLANE GEOMETRY: BOOK II DIAMETER PERPENDICULAR 10 A CHORD 255. THEOREM VI. A... | |
| Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1918 - 360 pages
...and therefore E would be inside the circle and AB would not be a tangent. 253. COROLLARY 2. A line perpendicular to a tangent at the point of contact passes through the center of the circle. PLANE GEOMETRY: BOOK II DIAMETER PERPENDICULAR TO A CHORD 255. THEOREM VI. A... | |
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