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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 ... - Página 97
por Euclides - 1853
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Examination Papers

University of Toronto - 1900 - 1158 páginas
...circles, equal angles stand on equal arcs, whether they be at the centres or circumferences. (III. 26.) 6. If from any point without a circle two straight lines...the circle, and the other touches it ; the rectangle sustained by the whole line which cuts the circle and the part of it without the circle, shall be equal...
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A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV., Libro 1

Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 páginas
...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 - 368 páginas
...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 ..., Volumen68

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 - 154 páginas
...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 - 342 páginas
...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, Libro 1

Euclid - 1904 - 456 páginas
...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 - 386 páginas
...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 ..., Volumen72

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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