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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... "
Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ... - Seite 81
von Euclides - 1861
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An Elementary Course of Plane Geometry

Richard Wormell - 1870 - 304 Seiten
...secant and the part without the circle (§230). Or, If from any point without a circle two straight lines be drawn, one of which cuts the circle and the...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
...parallelograms are on opposite 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 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
...the rectangle CP", CQ.' PROPOSITION XXXVI. THEOREM. If, from any point without a circle, two straight lines be drawn, one of which cuts the circle, and...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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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 376 Seiten
...circumference of a circle. 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 6y the whole line which cuts the circle, and the part of it without the. circle, must be equal to the...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873 - 588 Seiten
...AE, EC is equal to the rectangle BE, ED. XXXVI. — If from any point without a circle two straight lines be drawn, one of which cuts the circle, and...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, DB be two straight lines drawn...
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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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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 Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 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, shall touch the circle. Let...
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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 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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Recent Military, Naval, and Civil Service Examination Papers in Mathematics ...

Braithwaite Arnett - 1874 - 130 Seiten
...produced. Prove that the chords .SPand BQ are equal. 7. If from any point 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,...
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