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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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Parliamentary Papers, Volume 42

Great Britain. Parliament. House of Commons - Bills, Legislative - 1864 - 700 pages
...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 the circle shall be equal...
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Transactions, Volume 13

Actuarial Society of America - Insurance - 1912 - 466 pages
...the locus of the middle point of a chord of a given length that can be drawn in a given circle. (c) If a straight line touch a circle and from the point of contact a straight line be drawn cutting the circle, the angles made by this line with the line touching the circle shall be equal to...
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The New Zealand University Calendar, Volumes 31-32

University of New Zealand - 1904 - 362 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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General Announcement - McGill University

McGill University - 1910 - 92 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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Cambridge Intermediate Mathematics, Part 2

Herbert James Larcombe - 1928 - 272 pages
...Zs. MISCELLANEOUS PROBLEMS ON CIRCLES But LADB=LBAT. .-. Z BATi=LAEB in the alternate segment. Learn: If a straight line touch a circle, and from the point of contact a chord be drawn, the angles made by the chord with the tangent are equal to the angles in the alternate...
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A Shorter Geometry

352 pages
...190 To construct a triangle with given base, given altitude, and gIven vertical angle 191 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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