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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 books i. to vi.and portions of books xi ... - Pagina 158
door Euclides, James Hamblin Smith - 1879
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Solutions of the Problems and Riders Proposed in the Senate-house ...

William Walton - 1864 - 212 pagina’s
...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 on the line which touches it. If from a given point A without a given...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...tines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained bJ the whole line which cuts the circle, and the part of it tviihout the circle, shall be equal to the square on the line which touches it. Let D be any point...
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The college Euclid: comprising the first six and the parts of the eleventh ...

Euclides - 1865
...without a circle two straight Uses be drawn, one of which cuts the circle, and the other tonches 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 tonches it. Cor. If from any point without a circle...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 pagina’s
...circle there be 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...circle, be equal to the square on the line which meets the circle, the line which meets the circle shall touch it. Let any point D be taken without the circle...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 pagina’s
...lines be drawn, one of which cuts the circle, and tlie other touches it; the rectangle contained ly 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. Let D be any point without the circle ABC,...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 pagina’s
...without a circle two straight lines be drawn, one oj trhich 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 lite circle, shall be equal to the square on the line which touches it. Let D be any point without...
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An elementary course of plane geometry and mensuration

Richard Wormell - 1870 - 276 pagina’s
...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 is equal to the square of the tangent. 50. The line joining the centres of two circumferences is perpendicular...
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The Edinburgh university calendar

Edinburgh univ - 1871
...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, is equal to the square of the line which touches it. 6. Prove that similar triangles are to one another...
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Elements of geometry, containing the first two (third and fourth ..., Deel 2

Euclides - 1872
...circle there be dratcn two straight lines, one of which cuts the circle, and the other meets it; if the rectangle contained by the whole line which cuts...part of it without the circle, be equal to the square of the line which meets it, the line which meets must touch the circle. Let A be a pt . without the...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873
...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 on the line which touches it. Let D be any point without ABC, and DC A,...
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