 | Arthur Schultze - 1901 - 260 σελίδες
...with the radius drawn through that point. Which is the greater one ? PROPOSITION VIII. THEOREM 191. A straight line perpendicular to a radius at its extremity is a tangent to the circle. Hyp. In O 0, radius OA .l . BC at A. Proof. Prom 0 draw any line OD to BC. OA±BC. (Hyp.) ... OD is... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1902 - 394 σελίδες
...with the radius drawn through that point. Which is' the greater one? PROPOSITION VIII'. THEOREM 191. A straight line perpendicular to a radius at its extremity is a tangent to the circle. Hyp. In OO, radius OA±BC at A. Proof. From O draw any line OD to BC. OAA.BC. (Hyp.) .-. OD is oblique... | |
 | Arthur Schultze - 1901 - 392 σελίδες
...with the radius drawn through that point. Which is the greater one ? PROPOSITION VIII. THEOREM 191. A straight line perpendicular to a radius at its extremity is a tangent to the circle. Hyp. In O 0, radius OA J. BC at A. Proof. From 0 draw any line OD to BC. OA±BC. (Hyp.) .-. OD is oblique... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1901 - 396 σελίδες
...with the radius drawn through that point. Which is the greater one ? PROPOSITION VIII. THEOREM 191. A straight line perpendicular to a radius at its extremity is a tangent to the circle. Hyp. In OO, radius OA -L BC at A. To prove BC is a tangent. Proof. From 0 draw any line OD to BC. OA±BC.... | |
 | George Albert Wentworth, George Anthony Hill - 1901 - 168 σελίδες
...circumference. THEOREMS 1. A tangent is perpendicular to the radius drawn to the point of contact. 2. The perpendicular to a radius at its extremity is a tangent to the circle. 3. The perpendicular to a tangent at the point of contact passes through the centre of the circle.... | |
 | George Albert Wentworth - 1902 - 246 σελίδες
...equally distant from the centre. CONVERSELY : Chords equally distant from the centre are equal. 253. A straight line perpendicular to a radius at its extremity is a tangent to the circle. 254. A tangent to a circle is perpendicular to the radius drawn to the point of contact. 261. The tangents... | |
 | George Albert Wentworth - 1904 - 496 σελίδες
...circle is greater than any other chord. SET C 86 BOOK II. PLANE GEOMETRY. PROPOSITION IX. THEOREM. 253. A straight line perpendicular to a radius at its extremity is a tangent to the circle. Let MB be perpendicular to the radius OA at A. To prove that MB is a tangent to the circle. Proof. From... | |
 | William Betz, Harrison Emmett Webb - 1912 - 368 σελίδες
...a circle is the shortest line from the point to the circle. TANGENTS PROPOSITION VIII. THEOREM 270. A straight line perpendicular to a radius at its extremity is a tangent to the circle. AT C Given the circle O, the radius OC, and the line AB perpendicular to OC at its extremity C. To... | |
 | William Betz, Harrison Emmett Webb, Percey Franklyn Smith - 1912 - 360 σελίδες
...a circle is the shortest line from the point to the circle. TANGENTS PROPOSITION VIII. THEOREM 270. A straight line perpendicular to a radius at its extremity is a tangent to the circle. AT CB Given the circle 0, the radius OC, and the line AB perpendicular to OC at its extremity C. To... | |
 | William Betz, Harrison Emmett Webb - 1916 - 214 σελίδες
...equally distant from the center ; and, conversely, chords equally distant from the center are equal. 270. A straight line perpendicular to a radius at its extremity is a tangent to the circle. 275. The tangents drawn to a circle from an external point are equal, and make equal angles with the... | |
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A straight line perpendicular to a radius at its extremity is a tangent to the circle. Let MB be perpendicular to the radius OA at A. 
