| 1875 - 256 pages
...three parts proportional to the numbers 2, 4, and 3, and prove the principle involved. 7. Prove that a tangent to a circle is perpendicular to the radius drawn to the point of contact. 8. Prove that parallel chords intercept upon the circumference equal arcs. XIV. 1. Prove that two triangles... | |
| Education Department,London - 1876 - 1010 pages
...square inscribed in the circle. If a tangent be defined as the limiting position of a secant, shew that the tangent to a circle is perpendicular to the radius drawn to the point of contact. ALGEBRA. SECTION V. Find the difference in value between the arithmetical expression 57 and the algebraical... | |
| James Maurice Wilson - 1878 - 450 pages
...18. (a) One and 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. (</)... | |
| Joseph Wollman - 1879 - 120 pages
...alternate segments of 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
...alternate segments of 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 - 248 pages
...alternate segments of 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 - 348 pages
...which can be drawn from O to the line BC; therefore (§ 83), OA _L BC and BC _L OA. Theorem. — A tangent to a circle is perpendicular to the radius drawn to the point of contact. Fig. 187. Exercises. — 1. Find the locus of the centres of circles which touch a given line in a... | |
| George Russell Briggs - Geometry, Analytic - 1881 - 174 pages
...There is a large class of geometrical theorems which concern the position of lines ; for example, a tangent to a circle is perpendicular to the radius drawn to the point of tangency. Analytic Geometry enables us to apply algebra to this class of problems ; and as we advance... | |
| Education Ministry of - 1882 - 292 pages
...alternate segments of 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
...segments of the 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,... | |
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