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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 the First Six Books of Euclid : with a ... - Pàgina 90
per John Playfair - 1832 - 333 pàgines
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The Elements of Plane and Solid Geometry

Henry William Watson - 1871 - 285 pàgines
...rectangle of EC and ED becomes the square of EF, and therefore we have this proposition, viz. If from a point without a circle two straight lines be drawn, one of which cuts and the other touches the circle, then the rectangle of the segments of the cutting line shall be equal...
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Elements of geometry, containing the first two (third and fourth ..., Part 2

Euclides - 1872
...that the rectangle CP, CQ is equal to the rectangle CP", CQ.' PROPOSITION XXXVI. THEOREM. If, from any point without a circle, two straight lines be...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 - 349 pàgines
...four extremities shall all -. in the circumference of a circle. PROPOSITION XXXVI. THEOREM. If, from any point without a circle, two straight lines be...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
...rectangle GE, EH; therefore the rectangle AE, EC is equal to the rectangle BE, ED. XXXVI. — If from any point without a circle two straight lines be drawn,...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
...respectively, shew that the quadrilateral KLMN is equal in all respects to the quadrilateral ABCD. IX. If from any point without a circle two straight lines be drawn, one of which cuts the circle, bui does not pass through the centre, and the other touches it ; prove that the rectangle contained...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...rectangle BE, ED (I. Ax. 1). Wherefore, if two straight lines, &c. QED PROPOSITION 36. — Theorem. If from any point without a circle two straight lines be drawn,...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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Recent military, naval, and civil service examination papers in mathematics ...

Braithwaite Arnett - 1874
...bisects the angle between PA and QA produced. Prove that the chords .SPand BQ are equal. 7. If from any point without a circle two straight lines be drawn,...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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The Bombay university calendar, Volum 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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Pure mathematics, Volum 1

Edward Atkins - 1874
...AD-DC + EB» = BD2+EB«. •. AD -DC DrawEP perpendicular to AC. Proposition 36. — Theorem. If 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 which cuts the circle, and the part of...
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Pure Mathematics, Volum 1

Edward Atkins - 1874
...pcrpendi>-uliir lu AC. Proposition 36.— Theorem. If from a paint without a circle two straight Una be drawn, one of which cuts the circle, and the other touches it; the rentangle contained by the whole line which cuts the circle, and tht part of it without the circle,...
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