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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 ... - Página 84
por John Playfair - 1855 - 318 páginas
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Science Examinations ... Reports, Etc

1904
...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 the circle is equal to the square on the line which touches it. Hence show that if two circles intersect, their chord of intersection...
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A Text-book of Euclid's Elements for the Use of Schools, Libro 1

Euclid - 1904 - 456 páginas
...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 is equal to the square on the line which meets the circle, then the line which meets the circle shall be a tangent to it....
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Calendar, for the Year ...

1905
...without a circle a tangent and a secant be drawn, then the rectangle contained by the whole secant and the part of it without the circle is equal to the square on the tangent. ((/) About a given circle circumscribe a triangle equiangular to a given triangle....
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The Dublin University Calendar, Parte1

Trinity College (Dublin, Ireland) - 1910
...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 Calendar of McGill College and University

McGill University - 1883
...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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Transactions and Proceedings of the New Zealand Institute, Volumen14

New Zealand Institute - 1882
...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, Volumen1

University of Durham - 1879
...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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The London University Calendar

London univ - 1874
...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 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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Report of Her Majesty's Civil Service Commissioners ..., Volúmenes15-16

1870
...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. o. About a given circle describe a triangle...
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Annual Report of the Public Schools of the Province of British Columbia

British Columbia. Superintendent of Education - 1897
...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 on the line which meets it, the line which meets shall touch the circle. 5....
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