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" IF from a point without a 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... "
Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ... - Seite 85
von Euclides - 1861
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An Elementary Course of Plane Geometry

Richard Wormell - 1870 - 304 Seiten
...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 - 392 Seiten
...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 ..., Teil 2

Euclides - 1872 - 102 Seiten
...tangent. PROPOSITION XXXVII. THEOREM. If, from a point without a circle there be dratcn two straight lines, one of which cuts the circle, and the other...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 © BCD, of...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 376 Seiten
...lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained 6y the whole line which cuts the circle, and the part of it without the. circle, must be equal to the square on the line which touches it. Let D be any pt. without the © ABC, and...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873 - 588 Seiten
...which touches the circle. XXXVII. — If from a point without a circle there be drawn two straight lines, one of which cuts the circle and the other...contained by the whole line which cuts the circle, anil the part of it without the circle be equal to the square on the line which meets it, the line...
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The Madras University Calendar

University of Madras - 1873 - 436 Seiten
...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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The Bombay university calendar, Band 1

Bombay city, univ - 1874 - 648 Seiten
...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...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 tangent to it....
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Recent Military, Naval, and Civil Service Examination Papers in Mathematics ...

Braithwaite Arnett - 1874 - 130 Seiten
...without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it j 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. 8. Inscribe a circle in a given triangle....
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 Seiten
...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 the circle ABC,...
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Pure mathematics, Band 1

Edward Atkins - 1874 - 426 Seiten
...the circle. Proposition 37.— Theorem. If from a point without a 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 the circle, and the part of it without...
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