 | William Frothingham Bradbury - Geometry - 1877 - 262 pages
...equal (24), and the polygon ia equiangular and regular. THEOREM VII. 27. A tangent to a circumference is perpendicular to the radius drawn to the point of contact. Let DE be a tangent to the circumference ABD at the point D ; then DE is perpendicular to the radius C... | |
 | James Maurice Wilson - 1878 - 450 pages
...only one tangent can be drawn to a circle at a given point on the circumference. (b) The tangent to a circle is perpendicular to the radius drawn to the point of contact. (<r) The centre of a circle lies in the perpendicular to the tangent at the point of contact. (</)... | |
 | William Elwood Byerly - Differential calculus - 1879 - 300 pages
...infinitesimal arcs, are straight lines, and PAP" and P'BP are right angles, since the tangent to a circle is perpendicular to the radius drawn to the point of contact. PF=F'P'+P'F, by the definition of an ellipse. Take away from the first sum F'P + BF, and we have left... | |
 | Joseph Wollman - 1879 - 120 pages
...the circle. If a tangent be defined as the limiting position of a secant, show that the tangent to a circle is perpendicular to the radius drawn to the point of contact. The proposition is III. 32. The second part is III. 18. ALGEBRA. SECTION V. Find the difference in... | |
 | Edward Harri Mathews - 1879 - 94 pages
...the circle. If a tangent be denned as the limiting position of a secant, show that the tangent to a circle is perpendicular to the radius drawn to the point of contact. FIRST YEAR STUDENTS. Christmas 1871. EUCLID. Acting Teachers are not obliged to take this Paper. [Capital... | |
 | Education Ministry of - 1880 - 238 pages
...the circle. If a tangent be defined as the limiting position of a secant, show that the tangent to a circle is perpendicular to the radius drawn to the point of contact. Euclid, Algebra, and Mensuration. 125 ALGEBB.A AND MENSURATION. The solution must be given at such... | |
 | George Anthony Hill - Geometry - 1880 - 332 pages
...drawn from O to the line BC; therefore (§ 83), OA J_ BC and BC.LOA. Theorem. — • A tangent to a circle is perpendicular to the radius drawn to the point of contact. Exercises. — 1. Find the locus of the centres of circles which touch a given line in a given point.... | |
 | Education Ministry of - 1882 - 292 pages
...the circle. If a tar.gent be defined as the limiting position of a secant, show that the tangent to a circle is perpendicular to the radius drawn to the point of contact. Euclid, Algebra, and Mensuration. 125 ALGEBRA AND MENSURATION. Tho solution must be given at such length... | |
 | Stewart W. and co - 1884 - 146 pages
...circle. (b) If a tangent be defined as the limiting position of a secant, show that the tangent to a circle is perpendicular to the radius drawn to the point of contact. (a) See III. Bk. Euclid, proposition 18. (5) Let XYZ be a circle of which O is the centre. Draw MN,... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...be unequal, by Proposition XXI., Book I. PROPOSITION IX.—THEOREM. 23. A straight line tangent to a circle is perpendicular to the radius drawn to the point of contact For any other point of the tangent, as Z>, must lie outside of the circle, and therefore the line OD,... | |
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A tangent to a circle is perpendicular to the radius drawn to the point of contact. 
