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" IF from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Strona 118
autor: John Playfair - 1836 - Liczba stron: 311
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Annual Report of the Commissioners ..., Tom 68

1902 - Liczba stron: 482
...rectangle contained by the whole line and one of the parts may be equal to the square on the other part. 2. If from any point without a circle two straight lines...of which cuts the circle, and the other touches it; prove that the rectangle contained by the whole line which cuts the circle and the part of it without...
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Calendar of the University of Sydney

University of Sydney - 1902 - Liczba stron: 640
...circle there be drawn two straight lines, one of which cuts the circle, and the other touches it, and if the rectangle contained by the whole line which cuts the circle and the part of it without the circle be equal to the square on the line which meets the circle, the line which meets the circle shall touch...
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Elementary Plane Geometry: Inductive and Deductive

Alfred Baker - 1903 - Liczba stron: 154
...also the measurements and multiplications. The result of our observations may be stated as follows: If from any point without a circle two straight lines be drawn, one a secant and the other a tangent, then the rectangle contained b3 r the secant and the part of it without...
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The Elements of Plane Geometry

Association for the Improvement of Geometrical Teaching - 1903 - Liczba stron: 342
...Prove that the area of the second hexagon is to that of the first in the ratio 3 : I. 52. If from a point without a circle two straight lines be drawn, one of which touches and the other cuts the circle, a line drawn from the same point in any direction equal to the...
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Science Examinations ... Reports, Etc

1904 - Liczba stron: 386
...Show also how to trisect that angle. (25) 24. From any point outside a circle two straight lines are drawn, one of which cuts the circle and the other touches it. Show that the rectangle contained by the whole line which cuts the circle and the part of it without...
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A School Course of Mathematics

David Mair - 1907 - Liczba stron: 412
...passes through the centre of the circle, that, if from a point outside a circle two straight lines are drawn, one of which cuts the circle and the other...the whole line which cuts the circle and the part outside the circle, is equal to the square on the line which touches it. 35. Two straight lines AC...
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A School Geometry, Części 1-4

Henry Sinclair Hall - 1908 - Liczba stron: 286
...circle two straight lines are drawn, one of which cuts the circle, and the other meets it ; and if the rectangle contained by the whole line which cuts the circle and the part of it outside the circle is equal to the square on the line which meets the circle, then the line which meets...
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Annual Calendar of McGill College and University

McGill University - 1883 - Liczba stron: 404
...base and between the same parallels, the parallelogram shall be double of the triangle. 8. If from a point without a circle two straight lines be drawn,...the circle and the part of it without the circle, shall be equal to the square on the line which touches it 9. Inscribe a circle in a given triangle....
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The Dublin University Calendar, Tom 1

Trinity College (Dublin, Ireland) - 1910 - Liczba stron: 578
...there can he drawn two straight lines, one of which cuts the circle and the other meets it, and if the rectangle contained by the whole line which cuts the circle and the part of it without the circle be equal to the square of the line which meets it, the line which meets the circle touches it. 8. Prove...
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Annual Report of the Department of Education of the Province of Alberta, Tom 5

Alberta. Department of Education - 1911 - Liczba stron: 226
...circle. 8 14. The angles in the same segment of a circle are equal to one another. 21 — III. 8 15. If from any point without a circle two straight lines...cuts the circle and the part of it without the circle shall be equal to the square on the line which touches it. 36 — III. STANDARD VII. ANIMAL LIFE. BOYCE,...
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