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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 Elements of Euclid; viz. the first six books,together with the eleventh ... - Page 103
by Euclides - 1841 - 351 pages
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 pages
...licrpcndicutar to AC. Proposition 36. — Theorem. If from a point without a circle two straight lines ba drawn, one of which cuts the circle, and the other...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 - Geometry, Plane - 1876 - 403 pages
...in the manner required 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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The Madras University Calendar, Volume 1

University of Madras - 1876
...of which cuts the circle but 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 is equal to the square on the line which to aches it. (a) BA, AC are chords, in the same straight line,...
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Civil Service of India: Open Competition for the Regulations, Examinations ...

Civil service - 1878
...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. PROP. XLIII. THEOREM. (E. 3. 36, 37). If from any point without a circle two straight lines be drawn, one of which cuts the 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...
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - Greek language - 1879
...between the perpendicular and the obtuse angle. 10. If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other...it without the circle, shall be equal to the square on the line which touches it. 11. Describe an isosceles triangle, having each of the angles at the...
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Report of Her Majesty's Civil Service Commissioners, Together ..., Volume 23

Great Britain. Civil Service Commission - 1879
...point without a circle two straight lines be drawn, one of which cuts the circle and the other meets it; the rectangle contained by the whole line which...it without the circle, shall be equal to the square on the Hue which touches it. 8. Inscribe a circle in a given square. If a straight line is drawn touching...
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Parliamentary Papers, Volume 22

Great Britain. Parliament. House of Commons - Great Britain - 1879
...point without a circle two straight lines be drawn, one of Which cuts the circle and the other meets it; the rectangle contained by the whole line which...it without the circle, shall be equal to the square on the line which touches it. 8. Inscribe a circle in a given square. If a straight line is drawn touching...
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Elements of Geometry: Containing Books 1. to Vi. and Portions of Books Xi ...

Euclides, James Hamblin Smith - Euclid's Elements - 1879 - 349 pages
...XXXVI. THEOREM. If, from, any point without a circle, two straight lines be drawn, one of which cut* the circle, and the other touches it; the rectangle...the circle, and the part of it without the circle, muet be equal to the square on the line which touches it. Let D be any pt. without the ABC, and...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...in all respects equal. 3. If from an external point two straight lines be drawn, one of which cuts a circle and the other touches it, the rectangle contained...the circle, and the part of it without the circle, will be equal to the square on the line which touches it. A straight line moves so that equal chords...
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