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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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Mathematics in the Lower and Middle Commercial and Industrial ..., Issues 34-42

Edson Homer Taylor - Mathematics - 1915 - 552 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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Bulletin, Issues 38-46

Education - 1915 - 906 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, Part 3

University of Calcutta - 1916 - 802 pages
...square of the given term. 5. Trace the graphs of 10 and determine the points where they intersect. 6. If a straight line touch a circle, and from the point of contact 10 a chord be drawn, the angles which this chord makes with the tangent are equal to the angles in...
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Report of the Examinations Conducted by the Council of Higher Education ...

Newfoundland Council of Higher Education - 1917 - 184 pages
...subtend equal angles at the centre of the circle and supplementary angles at the point D. 7. Prove that, if a straight line touch a circle, and from the point of contact a straight line is drawn dividing the circle into two segments, the angles made by this line with the tangent are equal...
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Statistics of Land-grant Colleges and Universities, Volume 2, Issues 17-31

United States. Office of Education - Agricultural colleges - 1917 - 1336 pages
...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 alternate...
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The Money Value of Education, Issues 21-34

Alexander Caswell Ellis - Education - 1917 - 1098 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 alternate...
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Bulletin, Issues 27-40

United States. Office of Education - 1918 - 1128 pages
...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 alternate...
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The Training of Teachers of Mathematics for the Secondary Schools of the ...

Raymond Clare Archibald - Mathematics - 1918 - 310 pages
...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 alternate...
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Conditions of Recognition, Classification, and Payment of Teachers in the ...

Teachers - 1923 - 264 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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Theoretical Geometry: Based on the Various Geometry Books by Godfrey and Siddons

Arthur Warry Siddons, Reginald Thomas Hughes - Geometry - 1926 - 202 pages
...hypotenuse of a rightangled triangle as diameter passes through the opposite vertex 96 PAGE THEOREM 51. 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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