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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 ; 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-...
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Side 92
av Robert Simson - 1781 - 466 sider
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## Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 sider
...line between the points of section. 2. If from a point without a circle there be drawn two straight lines, one of which cuts the circle, and the other...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. VOLUNTARY PORTION....
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## Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861
...Tangents to a 0 from the same • are equal. 37, III. If from a point without a circle there be drawn two lines, one of which cuts the circle and the other...the circle, and the part of it without the circle, bo equal to the square of the line which meets it, the line which meets it shall touch the circle....
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## The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...a circle, two straight lines be drawn, one of which cuts the circle, and the other touches it; then 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 of the line which touches it. (References — Prop. i. 12, 47 ; n. 6 ;...
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## Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...the circle. PROPOSITION 37.— THEOREM. If from a point without a circle there be dfawn 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...
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## The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863
...which (DA) cuts the circle, and the other (DB) mects it; and if the rectongle (AD. DC) contained bg the whole line which cuts the circle, and the part of it witbout the circle, be (goal to the square o/'(DB) the straight line which mects ,t, that straight...
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## Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...circle. PROPOSITION XXXVII. THEOREM. If from a point without a circle there be drawn two straight tinea, one of which cuts the circle, and the other meets...if the rectangle contained by the whole line which cult the circle. and the part of it without the circle, be equal to the square on the line which meets...
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## Register

University of Cambridge - 1864
...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 on the line which touches it. If from a given point A without a given...
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## Report on the examination for admission to the Royal military academy at ...

...drawn, one of which cuts the circle, but does not pass through the centre, and the other touches it, the rectangle contained by the whole line which cuts the circle and the part of it without the circle is equal to the square of the line which touches the circle. Two circles intersect, AB is their common...
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## Solutions of the Problems and Riders Proposed in the Senate-house ...

William Walton - 1864 - 212 sider
...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 on the line which touches it. If from a given point A without a given...
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## The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...tines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained bJ the whole line which cuts the circle, and the part of it tviihout the circle, shall be equal to the square on the line which touches it. Let D be any point...
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