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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 geometry of the three first books of Euclid, by direct proof from ... - Seite 80
von Euclides - 1856
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An Elementary Course of Plane Geometry

Richard Wormell - 1870 - 16 Seiten
...the circle (§230). Or, 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...it without the circle is equal to the square of the tangent. 50. The line joining the centres of two circumferences is perpendicular to their common chord,...
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The Edinburgh university calendar

Edinburgh univ - 1871
...sides of the bases. 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...equal to the square of the line which touches it. 6. Prove that similar triangles are to one another in the duplicate ratio of their homologous sides....
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 349 Seiten
...circle, there be drawn two straight 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, be equal to the square on the line which meets it, the line which meets must touch the circle. Let...
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Elements of geometry, containing the first two (third and fourth ..., Teil 2

Euclides - 1872
...PROPOSITION XXXVI. 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 cute the circle, and the part of it without the circle, must be equal to the square on the line which...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873
...rectangle BE, ED. XXXVI. — 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...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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The Madras University Calendar

University of Madras - 1873
...which cuts the circle, bui does not pass through the centre, and the other touches it ; prove that the rectangle contained by the whole line which cuts the circle and the part of it without the circle ,s equal to the square on the line which tenches it. THUKSDAT, 19iH DEC., 2 TO 5 PM INDIAN HISTORY....
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Recent military, naval, and civil service examination papers in mathematics ...

Braithwaite Arnett - 1874
...circles can be drawn. 7. If from a point without a circle two straight lines be drawn, one of which cuts the circle and the other touches it, the rectangle...cuts the circle and the part of it without the circle shall be equal to the square on the line which touches it. If two circles intersect each other, their...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 Seiten
...PROPOSITION 36. — 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...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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Pure mathematics, Band 1

Edward Atkins - 1874 - 426 Seiten
...from a point without a circle two straight lines be drawn, one of which cuts the circle, and the oiher touches it; the rectangle contained by the whole line...the circle, and the part of it without the circle, slwtt be equal to the square an, t/ie line which touches it. Let D be any point without the circle...
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The Bombay university calendar, Band 1

Bombay city, univ - 1874
...circle there be drawn two 10 straight linos one of which cuts the circle and tho 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 tho square of the lino which meets it, then the line which meets the circle shall bo a...
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