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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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Calendar

University of Allahabad - 1908 - 566 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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Books 3-9

Euclid - Mathematics, Greek - 1908 - 456 pages
...AO, BO, CO, DO are equal to the squares on EB, BC, ie to the square on CE. [i. 47] 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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Atti Del ... Congresso Internazionale Dei Matematici ...

Mathematics - 1909 - 605 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 Allahabad - 1911 - 726 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 cnntsi.ct, a chord he drawn, the ingles which fchis nhnrd makes with the tangent are equal to the angles...
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Special Reports on Educational Subjects, Volume 27

Great Britain. Board of Education - Education - 1912 - 372 pages
...theorem, or otherwise, the positions of the roots of the equation x*— x* — 4z + 3 = 0. n. Geometry. 1. 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 Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - Mathematics - 1912 - 632 pages
...+ 6s + 2a6, (ii) (a + b)* - (a - &)" = 4a&, (iii) (2a - 6)' + &» = 2a' + 2(a - b)"-. 5. Prove 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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Special Reports on Educational Subjects, Volumes 26-27

Great Britain. Board of Education - Education - 1912 - 1048 pages
...opposite angles of any quadrilateral inscribed in a circle are supplementary ; and the converse. 34. 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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Regulations

University of Calcutta - 1914 - 430 pages
...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 Dublin University Calendar, Volume 1

Trinity College (Dublin, Ireland) - 1914 - 568 pages
...correspond to the algebraical formula (« - *)' +(« + *)»= 2 (a2 + i>). 3. A straight line is drawn to touch a circle, and from the point of contact a straight line is drawn cutting the circle. Prove that the angles which this line makes with the line touching the...
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Bulletin, Issues 33-43

Education - 1915 - 816 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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