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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 first three books of Euclid's Elements of geometry, with theorems and ... - Page 82
by Euclid, Thomas Tate - 1849 - 108 pages
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1878 - 398 pages
...their four extremities shall all lie in the circumference of a circle. PROPOSITION XXXVI. THEOREM. Ift from any point without a circle, two straight lines...the circle, and the part of it without the circle, inust 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 elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878 - 100 pages
...Therefore an equiangular triangle can be inscribed in the circle. PROP. XLIII. THEOREM. (E. 3. 36, 37). If from any point without a circle two straight lines...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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Civil Service of India: Open Competition for the Regulations, Examinations ...

Civil service - 1878 - 228 pages
...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 and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 282 pages
...equiangular. Hence (V. 4), .-. (V. 14), AE : EC :: DE : EB; AE.EB-CE.ED. Proposition 27. Theorem.—If from a point without a circle, two straight lines be drawn,...touches it, the rectangle contained by the whole line and the part without the circle, will be equal to the square of the line touching the circle. From...
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The Madras University Calendar, Volume 1

University of Madras - 1879 - 674 pages
...ABC. Prove that the square on BC is equal to the square on AC together with the rectangle AB, AC. III. If from any point without a circle two straight lines...of which cuts the circle, and the other touches it ; prove that the rectangle contained by the whole line which cuts the circle, and the part of it without...
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Report of Her Majesty's Civil Service Commissioners: Together ..., Volume 23

1879 - 636 pages
...two circles, its whole length will subtend a constant angle at the other point of intersection. 7. If from any point without a circle two straight lines...drawn, one of which cuts the circle and the other meets it; the rectangle contained by the whole line which cuts the circle, and the part of it without...
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Parliamentary Papers, Volume 22

Great Britain. Parliament. House of Commons - Great Britain - 1879 - 632 pages
...two circles, its whole length will subtend a constant angle at the other point of intersection. 7. If from any point without a circle two straight lines...drawn, one of Which cuts the circle and the other meets it; the rectangle contained by the whole line which cuts the circle, and the part of it without...
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Examination Papers: Moderations

University of Oxford - Education, Higher - 1879 - 586 pages
...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 the circle, be equal to the square on the line which meets tho circle, the line which meets the circle shall touch...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 pages
...on all its sides will be less than twice the square circumscribed about the circle. Section IV. 1. If from 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 contained by...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1879 - 376 pages
...AB; shew 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 drawn, one of which cut* the circle, and the other touches it; the rectangle contained by the whole line which cuts the...
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