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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... "
A collection of examples in pure and mixed mathematics, with hints and ... - Pàgina 73
per Alfred Wrigley - 1852
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Transactions and Proceedings of the New Zealand Institute, Volum 14

New Zealand Institute - 1882 - 712 pàgines
...(Euclid, Third Book, Prop. 35.) The case is taken where the diameter bisects 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 contained by the whole line which...
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The Durham University Journal, Volum 1

University of Durham - 1879 - 158 pàgines
...into two segments by a straight lino, the angle in one segment is equal to the 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 contained by the whole line...
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Parliamentary Papers, Volum 17

Great Britain. Parliament. House of Commons - 1871 - 902 pàgines
...the line bisected is equal to the square of the line made up of the half and the part produced. 4. 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...
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Calendar

University of Cambridge - 1853 - 650 pàgines
...of the angles in the two segments into which it divides the cird I may be equal to a given angle. 5. If from any point without a circle two straight lines be drawn, on» of which cuts the circle and the other touches it, the rectangle containa by the whole line which...
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Transactions and Proceedings of the New Zealand Institute, Volum 14

New Zealand Institute - 1882 - 706 pàgines
...(Euclid, Third Book, Prop. 35.) The case is taken where the diameter bisects 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 contained by the whole line which...
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Annual Report of the Public Schools of the Province of British Columbia

British Columbia. Superintendent of Education - 1893 - 812 pàgines
...double of the square on half the line, and of the square on the line between the points of section. 2. 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...
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The Bombay University Calendar

University of Bombay - 1902 - 1102 pàgines
...that two opposite sides of the quadrilateral formed by joining the points of 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 contained by the whole line...
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Report of Her Majesty's Civil Service Commissioners: Together ..., Volums 15-16

1870 - 964 pàgines
...lines cut one another, which do not both pass through the centre, they do not bisect each other. 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 contained by the whole line...
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Report of the examination held (Dec. 1859)-73

Cowley Oxon, dioc. school - 1860 - 318 pàgines
...shall touch a given circle. 8. The angles in the same segment of a circle are 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 contained by the whole line which...
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