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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... "
The geometry of the three first books of Euclid, by direct proof from ... - Seite 80
von Euclides - 1856
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Transactions and Proceedings of the New Zealand Institute, Band 14

New Zealand Institute - 1882 - 714 Seiten
...a chord. THEOREM. — 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...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, Band 1

University of Durham - 1879
...angle of the other. 10. 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...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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The London University Calendar

London univ - 1874
...a 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...the circle is equal to the square of the line which meets the circle, this line shall touch the circle. 10. In a given circle inscribe a triangle equiangular...
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The Bombay University Calendar

University of Bombay - 1902 - 1110 Seiten
...contact are equal. 6. If from any point without a circle two straight lines be drawn, one of 12 which cuts the circle and the other touches it, the rectangle...cuts the circle and the part of it without the circle shall be equal to the square on the line which touches it. A, B, C, D are four points in a straight...
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Parliamentary Papers, Band 19

Great Britain. Parliament. House of Commons - 1861 - 588 Seiten
...to two right angles. 9. If from auy point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle...the circle, and the part of it without the circle, shall be equal to the square of the line which touches it. 10. If two circles cut each other the line...
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Transactions and Proceedings of the New Zealand Institute, Band 14

New Zealand Institute - 1882 - 702 Seiten
...a chord. THEOREM. — 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...the circle and the part of it without the circle, shall be equal to the square on the liar- which touches it. (Euclid, Third Book, Prop. 86.) The particular...
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Annual Report of the Public Schools of the Province of British Columbia

British Columbia. Superintendent of Education - 1897 - 708 Seiten
...centre than the less. 5. 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...the circle, and the part of it without the circle, shall be equal to the square on the line which touches it. 6. About a given triangle to circumscribe...
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Report of the examination held (Dec. 1859)-73

Cowley Oxon, dioc. school - 1860
...equal to. one another. 9. 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...the whole line which cuts the circle and the part without the circle is equal to the square of the line which touches it. 10. About a given circle describe...
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Parliamentary Papers, Band 43

Great Britain. Parliament. House of Commons - 1863 - 616 Seiten
...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...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 shall touch the circle. Hence,...
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The Bombay University Calendar, Band 2

University of Bombay - 1906
...a circle two straight lines he drawn one ? of which cuts the circle and the other touches it, then the rectangle contained by the whole line which cuts the circle and the part of it without the circle ii equal to the square on the tangent. 7. Describe a circle about a given acute-angled triangle. 13...
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