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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 synoptical Euclid; being the first four books of Euclid's Elements of ... - Side 97
av Euclides - 1853
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A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV., Bok 1

Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 sider
...circle there are 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 is equal to the square on the line which meets the circle, then the line which meets the circle slwll...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - 1901
...the centre to the point of contact is perpendicular to the line touching the circle. 8. Prove that if from any point without a circle two straight lines be drawn, of which one cuts the circle and the other touches it ; the rectangle contained by the whole line which...
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Annual Report of the Commissioners ..., Volum 68

1902
...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

University of Sydney - 1902
...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 - 144 sider
...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
...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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A Text-book of Euclid's Elements for the Use of Schools, Bok 1

Euclid - 1904 - 456 sider
...circle there are 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 is equal to the square on the line which meets the circle, then the line which meets the circle shall...
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Science Examinations ... Reports, Etc

1904
...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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Annual Report of the Commissioners ..., Volum 72

1906
...solutions wilt not be accepted. Mr. Eoss, Senior Inspector. Mr. CHAMBBB8, District Inspector. SECTION A. 1. If from any point without a circle two straight lines...the circle, and the part of it without the circle, is equal to the square of the line which touches it. 2. To describe a circle about a given regular...
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A School Course of Mathematics

David Mair - 1907 - 379 sider
...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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