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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 - Page 83
by George Albert Wentworth - 1877 - 398 pages
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1822 - 367 pages
...describe the arc PM, which will be the perpendicular required. PROPOSITION VII. THEOREM. Every plane perpendicular to a radius at its extremity is a tangent to the sphere. 167 and OM, AM being joined, the angle 0AM will be right, and hence the distance OM will be...
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1828 - 346 pages
...have CGZ. Cl ; hence of two unequal chords, the less is the farther from the centre. THEOREM. 110. A straight line, perpendicular to a radius, at its extremity, is a tangent to the circumference. Let BD be perpendicular to the radius CA, at its extremity A, then will it be tangent...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1837 - 372 pages
...hence of two un^a'.ii •J'.nrdiS, the less is the farther from .the centre. PROPOSITION IX. THEOREM. A straight line perpendicular to a radius, at its extremity, is a tangent to the circumference. Let BD be perpendicular to the B radius CA, at .its extremity A ; then will it be tangent...
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Elements of Geometry and Trigonometry

Geometry - 1843 - 404 pages
...CG>CI ; hence of two unequal chords, the less is the farther from the centre. PROPOSITION IX. THEOREM. A straight line perpendicular to a radius, at its extremity, is a tangent to tlie circumference. !HP Let BD be perpendicular to the B radius CA, at its extremity A ; then will...
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Elements of Plane Geometry: For the Use of Schools

Nicholas Tillinghast - Geometry, Plane - 1844 - 96 pages
...but OL<OH; hence OI<OH ; but OI, OH, measure the distances from O to AE, AB. PROP. IX. THEOREM. Every straight line perpendicular to a radius at its extremity is a tangent to the circle. Conversely. Every tangent to a circle is perpendicular to the radius drawn to the point of contact....
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Elements of Geometry: On the Basis of Dr. Brewster's Legendre : to which is ...

James Bates Thomson - Geometry - 1844 - 237 pages
...less is the chord AB, the diameter of the small circle AMB. PROPOSITION VIII. THEOREM. Every plane perpendicular to a radius at its extremity is a tangent to the sphere. Let FG be a plane perpendicular to the radius OA at its extremity. Any point M in this plane...
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Elementary Course of Geometry ...

Charles William Hackley - Geometry - 1847 - 248 pages
...- — - = - , or - ^Tr = cosarc p,pi cos. <f> arc l>,r, cos. <j> arc PiPs.* PROP. III. Every plane perpendicular to a radius at its extremity is a tangent to the sphere in that point. Let ZXY be a plane perpendicular to z the radius OZ. Then ZXY touches the sphere...
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Elements of Geometry: With Practical Applications ...

George Roberts Perkins - Geometry - 1847 - 308 pages
...describe the arc PM, which wiH be the perpendicular required. PROPOSITION xx. \*. THEOREM. Every plane perpendicular to a radius at its extremity, is a tangent to the sphere. Let FAG be a plane perpendicular to the radius OA. Any point M in this plane being assumed,...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - Trigonometry - 1849 - 384 pages
...CI; hence of two unequal chords, the less is the farther from the centre. PROPOSITION IX. THEOREM. A straight line perpendicular to a radius, at its extremity, is a tangent to the circumference. Let BD be perpendicular to the B_ radius CA. at its extremity A; then will it be tangent...
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Annual Report of the Controllers of the Public Schools of the ..., Volumes 31-34

Education - 1849 - 678 pages
...from the centre ; and of two unequal chord«, the less is at the greater distance from the centre. 4. A straight line perpendicular to a radius, at its extremity, is a tangent to the circumference. 5. The line which bisects the vertical angle of a triangle, divides the base ¡alo two...
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