If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle ; the angles which this line makes with the line touching the circle, shall be equal to the angles which are in the alternate segments of the... The Cambridge Examiner - Page 4061881Full view - About this book
| Raymond Clare Archibald - Mathematics - 1918 - 310 pages
...Measure the side of the square. Show clearly all the construction lines in your figure. B. B 5. Show that if a straight line touch a circle, and from the point of contact a chord be drawn, the angles which this chord makes with the tangent are equal to the angles in the alternate... | |
| Teachers - 1923 - 264 pages
...The opposite angles of any quadrilateral inscribed in a circle are supplementary ; and the converse. If a straight line touch a circle, and from the point of contact a chord be drawn, the angles which this chord makes with the tangent are equal to the angles in the alternate... | |
| Arthur Warry Siddons, Reginald Thomas Hughes - Geometry - 1926 - 202 pages
...hypotenuse of a rightangled triangle as diameter passes through the opposite vertex 96 PAGE THEOREM 51. If a straight line touch a circle, and from the point of contact a chord be drawn, the angles which this chord makes with the tangent are equal to the angles in the alternate... | |
| Education - 1917 - 1034 pages
...Measure the side of the square. Skow clearly all the construction lines in your figure. B. B 5. Show that if a straight line touch a circle, and from the point of contact a chord be drawn, the angles which this chord makes with the tangent are equal to the angles in the alternate... | |
| University of Oxford - Universities and colleges - 1913 - 386 pages
...The opposite angles of any quadrilateral inscribed in a circle are supplementary ; and the converse. If a straight line touch a circle, and from the point of contact a chord be drawn, the angles which this chord makes with the tangent are equal to the angles in the alternate... | |
| Saskatchewan. Department of Education - Education - 1910 - 260 pages
...its diagonals by four times the square on the line joining the middle points of the diagonals. 3. (a) If a straight line touch a circle and from the point of contact a chord be drawn, the angles which this chord makes with the tangent shall be equal to the angles which... | |
| Saul Stahl - Geometry, Non-Euclidean - 1993 - 320 pages
...centered at O, and let P be a point on its circumference. By Proposition 20 above, qed Proposition 32. If a straight line touch a circle, and from the point of contact there be drawn across, in the circle, a straight line cutting the circle, the angles which it makes... | |
| Chris Pritchard - Mathematics - 2003 - 572 pages
...is greater than a right angle, and the angle of the less segment less than a right angle. Prop. 32: If a straight line touch a circle, and from the point of contact there be drawn across, in a circle, a straight line cutting the circle, the angles which it makes with... | |
| University of St. Andrews - 1900 - 670 pages
...as old as B. Find their present ages. 7. If a, b, c, d be in continued proportion, prove that B. 8. If a straight line touch a circle, and from the point...this line makes with the line touching the circle are respectively equal to the angles which are in the alternate segments of the circle. Tangents are... | |
| Oxford univ, exam. papers, 2nd publ. exam - 1884 - 594 pages
...from the point of contact a straight line be drawn cutting the circle, the angles which this straight line makes with the line touching the circle shall...which are in the alternate segments of the circle. 5. About a given circle, describe a triangle equiangular to a given triangle. 6. Define ratio, similar... | |
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