 | John Playfair - 1819 - 350 σελίδες
...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 - 1046 σελίδες
...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 - 616 σελίδες
...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 - 276 σελίδες
...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 - 546 σελίδες
...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 - 358 σελίδες
...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 - 346 σελίδες
...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 - 540 σελίδες
...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 - 488 σελίδες
...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 - 332 σελίδες
...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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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-... 
