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" The tangents to a circle drawn from an external point are equal, and make equal angles with the line joining the point to the centre. "
Plane and Solid Geometry - Page 89
by George Albert Wentworth - 1899 - 473 pages
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Syllabus of Plane Geometry: (corresponding to Euclid, Books I-VI) ...

Association for the improvement of geometrical teaching - Geometry, Modern - 1876 - 66 pages
...from an external point. [By Theor. 15 and Theor. 14, Cor.] COR. The two tangents drawn to a circle from an external point are equal, and make equal angles with the straight line joining that point and the centre. [By Book I, Theor. 20, Cor.] SECTION 4. B. TANGENTS...
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Elementary Geometry ...

James Maurice Wilson - 1878 - 450 pages
...cannot be drawn more than two tangents from A to the circle. COR. The two tangents drawn to a circle from an external point are equal and make equal angles with the straight line joining that point with the centre. For let AT, AT be the two lines touching the circle...
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Elements of Geometry

Simon Newcomb - Geometry - 1881 - 418 pages
...passes through the centre of the circle. THEOREM XIII. 227. Two tangents drawn to a circle from the same external point are equal, and make equal angles with the line joining that point to the centre. Hypothesis. P, a point outside a circle; PM, PN, two tangents from P touching...
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Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4 ...

Mathematical association - 1883 - 86 pages
...from an external point. [By Theor. 15 and Theor. 14, Cor.] COR. The two tangents drawn to a circle from an external point are equal, and make equal angles with the straight line joining that point and the centre. [By Book I, Theor. 20, Cor.] SECTION 4. B. TANGENTS...
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Wentworth & Hill's Exercise Manuals: Geometry, Issue 3

George Albert Wentworth - 1884 - 264 pages
...contact passes through the centre. 89. Theorem. The tangents to a circle drawn through an exterior point are equal, and make equal angles with the line joining the point to the centre. VARIABLES AND THEIR LIMITS. 90. Definitions. Measure of a quantity, common measure of two quantities,...
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A Text-book of Geometry

George Albert Wentworth - Geometry - 1888 - 264 pages
...points. QE . D . PROPOSITION XIII. THEOREM. / v 246. The tangents to a circle drawn from an exterior point are equal, and make equal angles with the line...tangents from A to the circle whose centre is 0, and AO the line joining A to 0. To prove AB = AC, and Z BA O = Z. CA O. Proof. Draw OB and OC. AB is _L...
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A Text-book of Geometry

George Albert Wentworth - Geometry - 1888 - 272 pages
...three given points. QEO PROPOSITION XIII. THEOREM. 246. The tangents to a circle drawn from an exterior point are equal, and make equal angles with the line joining the point to the centre. 0 Let AB and AC be tangents from A to the circle whose centre is 0, and AO the line Joining A to O....
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The Elements of Plane Geometry:pPart I(corresponding to Euclid Books I.-II ...

Association for the Improvement of Geometrical Teaching - Euclid's Elements - 1888 - 208 pages
...within, or without the circle ABD. ///. 16, Cor. i. QED COR. i. The two tangents drawn to a circle from an external point are equal, and make equal angles with the straight line joining that point and the centre. I. 20, Cor. i. COR. 2. FROB. To draw a tangent to...
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Exercise Manuals, Issue 3

George Albert Wentworth - 1889 - 276 pages
...contact passes through the centre. 89. Theorem. The tangents to a circle drawn through an exterior point are equal, and make equal angles with the line joining the point to the centre. VARIABLES AND THEIR LIMITS. 90. Definitions. Measure of a quantity, common measure of two quantities,...
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Wentworth & Hills's Exercise Manuals: Geometry, Issue 3

George Albert Wentworth - 1889 - 264 pages
...contact passes through the centre. 89. Theorem. The tangents to a circle drawn through an exterior point are equal, and make equal angles with the line joining the point to the centre. VARIABLES AND THEIR LIMITS. 90. Definitions. Measure of a quantity, common measure of two quantities,...
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