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" P is at the center of the circle. II. 18. The sum of the arcs subtending the vertical angles made by any two chords that intersect, is the same, as long as the angle of intersection is the same. 19. From a point without a circle two straight lines are... "
An Elementary Treatise on Geometry: Simplified for Beginners Not Versed in ... - Page 125
by Francis Joseph Grund - 1834 - 190 pages
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Examinations Papers

1896 - 774 pages
...semicircle is a right angle. Determine the magnitude of the angle in a quarter circle. 8. Prove that if from a point without a circle two straight lines are drawn, one to touch the circle and the other to cut it, the rectangle contained by the segments of the latter...
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The Ontario High School Geometry: Theoretical

Alexander H. McDougall - Geometry - 1910 - 316 pages
...PAB |I| A PCA. .-. £f = £|- (IV-8, p. 236.) CHORDS AND TANGENTS THEOREM 18 (Converse of IV— 17) If from a point without a circle two straight lines are drawn, one of which is a secant and the other meets the circle so that the square on the line which meets...
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The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - Mathematics - 1912 - 632 pages
...that if the perimeter of the triangle ABC ib constant then BC touches a fixed circle. 6. Prove that, if from a point without a circle two straight lines are drawn, one of which cuts the circle while the other touohes it, then the rectangle contained by the whole...
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Special Reports on Educational Subjects, Volumes 26-27

Great Britain. Board of Education - Education - 1912 - 1044 pages
...that if the perimeter of the triangle ABC is constant then BC touches a fixed circle. 6. Prove that, if from a point without a circle two straight lines are drawn, one of which cuts the circle while the other touches it, then the rectangle contained by the whole...
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