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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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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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Pure mathematics, Band 1

Edward Atkins - 1874
...there lie drawn two straight lines, one of which cuts t/ie circle, and the ot/ier 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 the square on GEOMETRY. Draw DE touching; the circle. Then DE = DB. And triangles DBF and...
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Elements of Geometry Containing Books I. to VI. and Portions of Books XI ...

James Hamblin Smith - 1876 - 376 Seiten
...PROPOSITION XXXVI. THEOREM. If, from any point without a cirele, 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, 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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Examination Christmas,1875

Education Department,London - 1876
...any point without a circle two straight lines be drawn, one of which not passing through the centre 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 any number of circles intersect two and...
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The Madras University Calendar, Band 1

University of Madras - 1876 - 580 Seiten
...the other part. IV. (a) 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 of the lina which touches it. the square of .BO is less than the squares...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 Seiten
...Proposition 36. — Theorem. If from a point without a circle two straight lines ba drawn, one of which cuts the circle, and the other touches it; the rectangle...contained by the whole line which cuts the circle, and l!ta part of it without the circle, shall ba equal to the square on ths line which touches it. Let...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 Seiten
...by the proposition. 6. 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 that cuts the circle and the part of it without the circle shall be equal to the square on the line...
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Civil Service of India: Open Competition for the Regulations, Examinations ...

1878 - 228 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 of the line which meets it, the line which meets shall touch the circle. Draw...
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The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878
...circle and the other touches it, the i eetangle contained^ by the ivhole line which cuts the circle, and part of it without the circle is equal to the square of the tangent. And conversely, -if the square of the straight line meeting the circle is equal to the rectangle...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...any point without a circle two straight lines be drawn, one of which not passing through the centre 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 any number of circles intersect two and...
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