 | George Washington Hull - Geometry - 1807 - 408 pages
...radius OC. At C erect AB perpendicular to OC. § 192 Then AB is the required tangent. Proof. — For a line perpendicular to a radius at its extremity is tangent to the circle (§168). QEF PROPOSITION XLVI. PROBLEM. 211. From a given point without a given circle, to draw a tangent... | |
 | George Roberts Perkins - Geometry - 1847 - 326 pages
...triangle HCG (B. II, Prop. vm, Cor. 2), and consequently HF is equal to HG. G2 PROPOSITION V. THEOREM. A line perpendicular to a radius, at its extremity, is tangent to the circumference. Let the line ADB be perpendicular to the radius CD at its extremity ; then will AB touch... | |
 | George Roberts Perkins - Geometry - 1850 - 332 pages
...triangle HCG, (B. II, Prop, via, Cor. 2,) and consequently HF is equal to HG. PROPOSITION IV. THEOREM. A line perpendicular to a radius, at its extremity, is tangent to the circumference. Let the line ADB be perpendicular to the radius CD at its extremity; then will AB touch... | |
 | Charles Davies - Geometry - 1850 - 218 pages
...half of DE (Th. ii. Cor) ; hence, BA is equal to DE Ax, 6). Of the Circle. THEOREM Vo A line which is perpendicular to a radius at its extremity, is tangent to the circle. Let the line ABD be perpendicular to the radius CB at the extremity B : then will it be tangent to... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...two unequal chords, the less is the farther from the centre of the circle. PROPOSITION IX. THEOEEM. A straight line perpendicular to a radius, at its extremity, is tangent to the circumference. 65 For, eveiy oblique line CE, BA ED is longer than the perpendicular CA (B. L, P. 15)... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...chords, the less is the farther from the centre 'of the circle. PROPOSITION IX. THEOREM. A stra1ght line perpendicular to a radius, at its extremity, is tangent to the circumference. Let the line BD be perpendicular to the radius CA at its extremity A ; then will it... | |
 | George Roberts Perkins - Geometry - 1856 - 460 pages
...perpendicular bisecting a chord, will also bisect its subtended arc, and pass through the centre. THEOREM v. A line perpendicular to a radius at its extremity, is tangent to the circumference. If ED is drawn perpendicular to the radius CA, at its extremity, it will be tangent... | |
 | Edward Olney - Geometry - 1872 - 472 pages
...line perpendicular to one at its extremity is perpendicular to the other also. And a line which is perpendicular to a radius at its extremity is tangent to the circle (172). QED 100. COR. — All circumferences having their centres in the same line, and having but one... | |
 | Edward Olney - 1872 - 270 pages
...line perpendicular to one at its extremity is perpendicular to the other also. And a line which is perpendicular to a radius at its extremity is tangent to the circle (172). QED l00. COR.—All circumferences having their centres in the same line, and having but one... | |
 | Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...a circle. Therefore the two parts exactly coincide and are equal (Ax. PROPOSITION II.—THEOREM. A. line perpendicular to a radius at its extremity is tangent to the circumference. Let the line CD be perpendicular to the radius AB at its extremity; then will CD touch... | |
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A line perpendicular to a radius at its extremity is tangent to the circle. 
