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Books Books 101 - 110 of 132 on If a straight line touch a circle, and from the point of contact a chord be drawn,....
" 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 segments. "
Books 3-9 - Page 65
by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908
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The Money Value of Education, Issues 21-34

Alexander Caswell Ellis - Education - 1917 - 50 pages
...Measure the side of the square. Skow clearly all the construction lines in four 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...
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Statistics of Land Grant Colleges and Universities, Volume 2, Issues 17-31

United States. Office of Education - Agricultural colleges - 1917
...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...
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Bulletin, Issues 22-33

Education - 1917
...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...
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The Poincaré Half-plane: A Gateway to Modern Geometry

Saul Stahl - Mathematics - 1993 - 298 pages
...of a circle 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,...the angles in the alternate segments of the circle. R PROOF: In a given circle centered at C, let PQ be a chord, let PTbe a tangent, and let A be a point...
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The Changing Shape of Geometry: Celebrating a Century of Geometry and ...

Chris Pritchard, Mathematical Association, Mathematical Association of America - Mathematics - 2003 - 541 pages
...segment 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 the tangent will be equal...
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Practical Geometry

Thomas Tate (Mathematical Master, Training College, Battersea.) - 1860 - 147 pages
...circle, the given line being the chord of the arc . . . . . . . 167 Angle in alternate segment 169 If a straight line touch a circle, and from the point of contact a chord be drawn, the angles -which this chord mai-es icith the tangent are equal to the angles in...
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Euclid in China: The Genesis of the First Chinese Translation of Euclid's ...

Peter M. Engelfriet - Mathematics - 1998 - 488 pages
...is the perpendicular to the tangent) 19. a & «J • H ft ft « i» £ s » mm 'L, &&m»z.ft Heath If a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the tangent, the centre of the circle will be on the straight...
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Calendar

University of St. Andrews - 1900
...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 of contact a straight line be drawn meeting the circle, the angles which this line makes with the line touching...
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Parliamentary Papers, House of Commons and Command, Volume 42

Great Britain. Parliament. House of Commons - Great Britain - 1864
...two unequal straight lines are together greater than twice the rectangle contained by those lines. 8. 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...
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elementary geometry

...radius 2-6 in. a triangle equiangular to a given triangle. SECTION IX. "ALTERNATE SEGMKNT." THEOREM 14. 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...
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