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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 books i. to vi.and portions of books xi ... - Pagina 168
door Euclides, James Hamblin Smith - 1879
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The Dublin University Calendar, Volume 1

Trinity College (Dublin, Ireland) - 1910 - 578 pagina’s
...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...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 that the straight...
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Annual Calendar of McGill College and University

McGill University - 1883 - 404 pagina’s
...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 on the line which touches it 9. Inscribe a circle in a given triangle....
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Report of the Examinations Conducted by the Council of Higher Education ...

Newfoundland Council of Higher Education - 1911 - 250 pagina’s
...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 will be equal to the square on the tangent. Given a circle and two points without it, describe a circle...
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Annual Report of the Department of Education of the Province of ..., Volume 5

Alberta. Department of Education - 1911 - 226 pagina’s
...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 on the line which touches it. 36 — III. STANDARD VII. ANIMAL LIFE. BOYCE,...
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Special Reports on Educational Subjects, Volumes 26-27

Great Britain. Board of Education - 1912 - 1044 pagina’s
...circle two straight lines are drawn, one of which cuts the circle while the other touches it, then the rectangle contained by the whole line which cuts the circle and the part of it without the circle will be equal to the square on the straight line touching the circle. If tangents drawn to two circles...
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The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - 1912 - 632 pagina’s
...circle two straight lines are drawn, one of which cuts the circle while the other touohes it, then the rectangle contained by the whole line which cuts the circle and the part of it without the circle will be equal to the square on the straight line touching the circle. If tangents drawn to two circles...
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The Dublin University Calendar, Volume 1

Trinity College (Dublin, Ireland) - 1918 - 554 pagina’s
...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, is equal to the square of the line which touches it. 6. How many circles can be described to touch...
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Transactions and Proceedings of the New Zealand Institute, Volume 14

New Zealand Institute - 1882 - 712 pagina’s
...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 on the line which touches it. (Euclid, Third Book, Prop. 86.) The particular...
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The Durham University Journal, Volume 1

University of Durham - 1879 - 158 pagina’s
...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 of the line which touches it. Two points D,E are taken in the base of...
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Parliamentary Papers, Volume 43

Great Britain. Parliament. House of Commons - 1863 - 616 pagina’s
...circle there be drawn two straight lines, one of which cuts the circle, and the other meets it ; if the rectangle contained by the whole line which cuts...part of it without the circle, be equal to the square of the line which meets it, the line which meets shall touch the circle. Hence, describe a circle which...
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