 | George Albert Wentworth - Geometry - 1904 - 496 pages
...shortest line from O to MB, and is therefore -L to MB (§ 98) ; that is, MB is -L to OA. 255. COR. 2. A perpendicular to a tangent at the point of contact passes through the centre of the circle. For a radius is -L to a tangent at the point of contact, and therefore a -L erected at the point of... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...The radius drawn to the point of contact is perpendicular to a tangent to a circle. 231. COR. 2. A perpendicular to a tangent at the point of contact passes through the center of the circle. PROPOSITION XII. THEOREM 283. Two parallel lines intercept equal arcs on a circumference.... | |
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...The radius draum to the point of contact, is perpendicular to a tangent to a circle. 231. COR. 2. A perpendicular to a tangent at the point of contact passes through the center of the circle. THE CIRCLE PROPOSITION XII. THEOREM 233. Two parallel lines intercept equal arcs... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...extremity is tangent to the circle. Otherwise we should have two Js to OP at P. § 251 253 COROLLARY 2. A perpendicular to a tangent at the point of contact passes through the center of the circle. Otherwise we should have two Js to TT' at P. § 251 EXERCISE 252. Two parallels... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...extremity is tangent to the circle. Otherwise we should have two J§ to OP at P. § 251 253 COROLLARY 2. A perpendicular to a tangent at the point of contact passes through the center of the circle. Otherwise we should have two J§ to TT' at P. § 251 EXERCISE 252. Two parallels... | |
 | George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 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. For a radius is _L to a tangent at the point of contact, and therefore a _L erected... | |
 | William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 284 pages
...253. COB. 1. A tangent is perpendicular to the radius drawn to the point of contact. 254. COB. 2. The perpendicular to a tangent at the point of contact passes through the center of the circle. 255. COB. 3. The line from the center of a circle perpendicular to a tangent... | |
 | Robert Louis Short, William Harris Elson - Mathematics - 1911 - 216 pages
...greater. II. A tangent to a circle is perpendicular to a radius at the point of contact. III. A line perpendicular to a tangent at the point of contact passes through the center of the circle. H PROBLEM 254. To draw a tangent to a circle from an external point. Given O... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 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
...line from O 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. For a radius is _L to a tangent at the point of contact, and therefore a _L erected... | |
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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. 
