| 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... | |
| 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,... | |
| 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... | |
| 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,... | |
| 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... | |
| 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... | |
| 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... | |
| 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.... | |
| 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.... | |
| 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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