 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...distant from the centre, they are unequal, and the chord at the less distance is the greater. 239. A straight line perpendicular to a radius at its extremity is a tangent to the circle. 240. Cor. 1. A tangent to a circle is perpendicular to the radius drawn to the point of contact. 241.... | |
 | James Howard Gore - Geometry - 1898 - 232 pages
...two equal straight lines can be drawn to the circumference. (See 147.) PROPOSITION IV. THEOREM. 150. A straight line perpendicular to a radius at its extremity is a tangent to the circumference. Let BC be perpendicular to the radius OA at its extremity A. To prove that BC is a tangent... | |
 | George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...AH = ± AG. § 245 .-.AB>AG. Ax. 6 But CD = A G. Const. .-.AB>CD. QED 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... | |
 | George Albert Wentworth - Geometry - 1899 - 498 pages
...AH = £ AG. § 245 .-. AB> AG. Ax. 6 But CD = AG. Const. .-.AB>CD. QED 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... | |
 | George Albert Wentworth - Geometry, Solid - 1899 - 246 pages
...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... | |
 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...is the chord perpendicular to the diameter passing through the point. Proposition 111. Theorem. 144. A straight line perpendicular to a radius at its extremity is a tangent to the circle. DG Hypothesis. CD is a radius of the O EFD, and AB is J_ to CD at its extremity D. Conclusion. AB is... | |
 | George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...an&AH=±AG. §245 .'. AB > AG. Ax. 6 But CD = AG. Const. .'.AB>CD. QED PROPOSITION IX. THEOREM. 253. A straight line perpendicular to a radius at its extremity is a tangent to the circle. ItLet MB be perpendicular to the radius OA at A. To prove that MB is a tangent to the circle. Proof.... | |
 | George Albert Wentworth - Geometry - 1899 - 496 pages
...AH. § 153 .-. AB>AG. Ax. 6 CD = AG. Const. .-. AB > CD. QBD But But PROPOSITION IX. THEOREM. 253. A straight line perpendicular to a radius at its extremity is a tangent to the circle. tiA *" Let MB be perpendicular to the radius OA at A. To prove that MB is a tangent to the circle.... | |
 | George Albert Wentworth - Geometry - 1899 - 500 pages
...AG. § 245 .-.AB>AG. Ax. 6 But CD = AG. Const. .-.AB>CD. QED PROPOSITION IX. THEOREM. 253. A strnight 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... | |
 | George Albert Wentworth - Geometry, Plane - 1899 - 278 pages
...Ax. 6 But CD = AG. Const. .-.AB>CD. O..ED PROPOSITION IX. THEOREM. 253. A straight line perpendmilar 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... | |
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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. 
