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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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 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, is equal to the square of the line which touches it. Let D be any point without the circle ABC, and...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 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 of the line which touches it. Let D be any point without the circle ABC,...
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A Supplement to the Elements of Euclid

Daniel Cresswell - 1825 - 582 sider
...produced meets the quadrantal arch, from the other radius. LIX. TH. If the angle contained by two straight lines, one of which cuts the circle and the other meets it, be equal to the angle in the alternate segment of the circle, the straight line which meets, shall...
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Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826
...lines be drawn, one of which DA cuts the circle, and the other DB touches it ; the rectangle AD. DC contained by the whole line which cuts the circle, and the part of it without the circle, is equal to the square of DB, the line which touches it. ' First, let DCA pass through the centre E,...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 sider
...the circle. PROP. XXXVII. THEOR. See N. 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. Let any point D be...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - 333 sider
...a circle there be drawn two straight 'lines, one of which cuts the circle, and the other meet sit; if the rectangle contained by the whole line, which...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. Let any point D he...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1833 - 333 sider
...the circle. A PROP. XXXVII. THEOR. a point without a circle there be drawn two straight lines, on» of which cuts the circle, and the other meets it ; if the rectangle eon* tained by the whole line, which cuts the circle, and the part of it with* out the circle,*be equal...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 sider
...circle. PROP. XXXVII. THEOR. *• See N. 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, also touches the circle. a 17. a b 18. 3....
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 sider
...of the line which touches it. XXXVII. If from a point without a circle there be drawn two straight lines, one of which cuts the circle, and the other...which cuts the circle, and the part of it without a circle, be equal to the line which meets it, the line which meets shall touch the circle. BOOK iv....
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 318 sider
...angled triangles. PROP. XXXVII. THEOR. 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. Let any point D be...
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