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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. "
Elements of Plane and Solid Geometry - Σελίδα 83
των George Albert Wentworth - 1877 - 398 σελίδες
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...-L is the shortest distance from a point to a straight line). .'.much more is 0 K> OH. Q. 1Î. T>. STRAIGHT LINES AND CIRCLES. , PROPOSITION IX. THEOREM....186. A straight line perpendicular to a radius at Us extremity is a tangent to the circle. Let BA be the radius, and MO the straight line perpendicular...

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...art. £, (383. The angle in a semicircle is a right angle.) /. PF is tangent at F to 0 BFG. (389. A line perpendicular to a radius at its extremity is a tangent to the circle.) 144 V. Two Circles. THEOREM XXV. 403. The line joining the centers of two circles which meet in two...

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...rt. 4, (383. The angle in a semicircle is a right angle.) .-. PF is tangent at F to O BFG. (389. A line perpendicular to a radius at its extremity is a tangent to the circle.) 144 V. Two Circles. THEOREM XXV. 403. The line joining the centers of two circles which meet in two...

Chauvenet's Treatise on Elementary Geometry

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...circumference in C, and must evidently cut it in a second point D. at' PROPOSITION XI.— THEOREM. 26. A straight line perpendicular to a radius at its extremity is> a tangent to the circle. Let AB be perpendicular to the radius OC at its extremity C; then, AB is a tangent to ibe circle at the...

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...159 (the greater of two A of a A has the greater side opposite to it). PROPOSITION X. THEOREM. / 239. A straight line perpendicular to a radius at its extremity is a tangent to ttie circle. Let MB be perpendicular to the radius OA at A. To prove MB tangent to the circle. Proof....

A Text-book of Geometry

George Albert Wentworth - 1889 - 264 σελίδες
...it). But AE=\AB, and AH=\AG. .-. AB > AG; hence AB > CD, the equal of AG. PROPOSITION X. THEOREM. 239. 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 MB tangent to the circle. Proof. From 0 draw any...

The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - 1890 - 418 σελίδες
...point of intersection to the centre, prove that the chords are equal.. Proposition 8. Theorem. 209. A straight line perpendicular to a radius at its extremity is a tangent to the circle. Hyp. Let 0 be the centre of a O, OA the radius, and BC a line J_ to OA at A. To prove BC tangent to...

Manual of Plane Geometry, on the Heuristic Plan: With Numerous Extra ...

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...Draw radii to extremities of the chord, then consult 78 or 107 and 191. 200. A straight line that is perpendicular to a radius at its extremity is a tangent to the circle. Post. Let BHK\>ea circle, DB a radius, and AC a straight line perpendicular to DB and passing through...

Elements of Geometry: Plane and Solid

John Macnie - 1895 - 386 σελίδες
...is a straight line that cuts ' a circumference in two points ; as DE. PROPOSITION XII. THEOREM. 190. A straight line perpendicular to a radius at its extremity is a tangent to the circle. Given : AB perpendicular to OC, a radius of circle CEF, at its extremity C; To Prove : AB is a tangent...

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...straight line that cuts a circumference in two points ; as DE. PROPOSITION XII. THEOREM. 190. A straiglit line perpendicular to a radius at its extremity is a tangent to the circle. D Given: AB perpendicular to OC, a radius of circle CEF, at its extremity C; To Prove : AB is a tangent...




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