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" 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 406
1881
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The Training of Teachers of Mathematics for the Secondary Schools of the ...

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...
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Conditions of Recognition, Classification, and Payment of Teachers in the ...

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...
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Theoretical Geometry: Based on the Various Geometry Books by Godfrey and Siddons

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...
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Bulletin, Issues 22-33

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...
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The Examination Statutes ... Together with the Regulations of the Boards of ...

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...
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Annual Report

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...
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The Poincaré Half-plane: A Gateway to Modern Geometry

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...
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The Changing Shape of Geometry: Celebrating a Century of Geometry and ...

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...
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Calendar

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...
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Pass school, group A (-D).

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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