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" If from a point without a 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... "
A companion to Euclid: being a help to the understanding and remembering of ... - Page 77
by Euclides - 1837 - 88 pages
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Elements of geometry, containing the first two (third and fourth ..., Part 2

Euclides - 1872 - 102 pages
...DC. QBD Ex. 1. Two circles intersect in A and B; shew that AB produced bisects their common tangent. PROPOSITION XXXVII. THEOREM. If, from a point without a circle there be dratcn two straight lines, one of which cuts the circle, and the other meets it; if the rectangle contained...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 580 pages
...each of them is equal to the square on the straight line AD. which touches the circle. XXXVII. — If from a point without a circle there be drawn two...contained by the whole line which cuts the circle, anil the part of it without the circle be equal to the square on the line which meets it, the line...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 426 pages
...of them is equal to the square on the straight line AD, which touches the circle. Proposition 37.— Theorem. If from a point without a circle there be...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...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...of them is equal to the square on the straight line AD, which touches the circle. PROPOSITION XXXVIL THEOREM. If from a point without a circle there be drawn two straight Una, me of vkicIi cuti the circle, and the other meets it ; if the rectangle contained by the whole...
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Examination Christmas,1875

Education Department,London - 1876 - 1010 pages
...inscribed in the circle, having a side of the triangle for one of the sides of the figures ? 2. If from я point without a circle there be drawn two straight lines, one of which meets the circle and the other cuts it, and the rectangle contained by the whole line which euts the...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...them is equal to the square on the straight line AD, which touches the circle. Proposition 37. — Theorem. If from a point without a circle there be drawn two straight tines, one of which cuts the circle, and the other meets it, and if the rectangle contained by the...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 pages
...between the two angles at the base shall be respectively equal to two given angles. 2. If from any point without a circle 'there be drawn two straight...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...
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Examination Papers: Moderations

University of Oxford - Education, Higher - 1879 - 586 pages
...the centre, they do not bisect one another. 5. Inscribe a circle in a given triangle. 6. If from any point without a circle there be drawn two straight...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...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1879 - 376 pages
...AD, DB with sq. on 0B=sqq. on OC, DC. I. 47. And sq. on 0B=sq. on 0C; .'. rwt. AD, DB=sq. on DC. QED PROPOSITION XXXVII. THEOREM. If, from a point without...circle, there be drawn two straight lines, one of which ants the circle, and, the other meets it ; \f the rectangle contained by the whole line which cuts...
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(Report).

Elizabethan club - 1880 - 156 pages
...prove that if the tangent to the circle at A meet CB produced in D, then DE will be equal to DA. 8. If from a point without a circle there be drawn two...of which cuts the circle, and the other meets it, then if the rectangle contained by the whole line which cuts the circle and the part of it without...
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