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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... "
Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ... - Page 69
by Euclid - 1845 - 199 pages
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Examinations Papers

1895 - 800 pages
...sonst, soi.dern faltig an dem kräftigen Bein. PUEE MATHEMATICS.— PABT I. The Board of Examiners. 1. 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 nng-les in...
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Calendar, for the Year ...

1896 - 154 pages
...thus produced and on the part produced may be equal to three times the square on the given line. 3. 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...
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The School World, Volume 3

Education - 1901 - 548 pages
...straight line bisecting any chord of a circle at right angles passes through the centre of the circle. (5) 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 tangent are equal to the angles in the...
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Examination Papers

University of Toronto - 1901 - 1190 pages
...centre ; and tho.se which are equally distant from the centre are equal to one another. (III. 14.) 5. 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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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...having its sides parallel to three given straight lines. ,M SECTION IX. "ALTERNATE SEGMENT." 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 alternate...
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The School World: A Monthly Magazine of Educational Work and Progress, Volume 5

Education - 1903 - 692 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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Calendar

University of Calcutta - 1906 - 1522 pages
...circumference, prove that that point is the centre of the circle. Prove that a circle has only one centre. 2 5. If a straight line touch a circle, and from the point of contact a 8 chord be drawn, prove that the angles which this chord makes with the tangent, are eqnal to the angles...
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Annual Report of the Commissioners ..., Volume 73

1907 - 608 pages
...solutions will not be accepted. Mr. Boss, Senior Inspector. Mr. CHAMBERS, Senior Inspector. SECTION A. 1. If a straight line touch a circle, and from the point of contact a straight line be drawn dividing the circle into two segments, the angles made by this line with the tangent are equal to the...
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Calendar

University of Allahabad - 1907 - 528 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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The New Zealand University Calendar, Volume 35

University of New Zealand - 1907 - 422 pages
...opposite angles of any quadrilateral inscribed in a circle are supplementary; and the converse. Ef 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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