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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 synoptical Euclid; being the first four books of Euclid's Elements of ... - Página 97
por Euclides - 1853
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides - 1878
...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
...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 ...

1878 - 228 páginas
...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 - 1879 - 282 páginas
...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, Volumen1

University of Madras - 1879
...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 ..., Volumen23

1879
...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, Volumen22

Great Britain. Parliament. House of Commons - 1879 - 632 páginas
...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 - 1879
...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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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1879
...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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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...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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