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" IF a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that line. "
The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose - Page 118
by Euclides - 1853
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1892 - 508 pages
...straight line which joins their centres, being produced, shall pass through tho point of contact. 3. If a straight line touch a circle, and from the point of 8 contact a chord be drawn, the angles which this chord makes with the tangent shall be equal to the...
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Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Department of Education - Education - 1893 - 800 pages
...whether that angle be right, obtuse, or acute. (b) Prove the case in which the angle is obtuse. 3. (a) If a straight line touch a circle, and from the point...contact a straight line be drawn cutting the circle, the angles made by this line with the line touching the circle must be equal to the angles which are...
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Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Department of Education - Education - 1893 - 806 pages
...whether that angle be right, obtuse, or acute. (6) Prove the case in which the angle is obtuse. 3. (a) If a straight line touch a circle, and from the point...contact a straight line be drawn cutting the circle, the angles made by this line with the line touching the circle must be equal to the angles which are...
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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...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...
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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...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 alternate segments...
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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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