 | John Playfair - 1819 - 354 sider
...be drawn, one of •siliich 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... | |
 | John Mason Good - 1819 - 800 sider
...straight hues, one of which cuts the circle, und the oilier meets it ; if the rectangle contained by the whole line which cuts the circle, and the part of it without »he circle he equal to the square of Ihelinrwhich meet» it, the line which meets shall touch the... | |
 | Rev. John Allen - 1822 - 508 sider
...the other (AE) meeting it, and the rectangle (DEC) under the cutting line, and its external segment, be equal to the square of the line •which meets it; the right line (AE) which meets the circle, touches it. From E, draw EB touching the circle FA, FE,FB.... | |
 | Peter Nicholson - 1825 - 1046 sider
...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,... | |
 | George Lees - 1826 - 276 sider
...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 sider
...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...square- of the line which meets it, the line which meets shall touch the circle. Let any point D be taken without the circle ABC, and from it let two straight... | |
 | John Playfair - 1833 - 346 sider
...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 to the square of the line which meets it, the line which meets shall... | |
 | Euclid - 1835 - 540 sider
...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 the line which meets it, the line which meets, also touches the circle. a 17. a b 18. 3. c36. 3. Let any point D be taken without the circle ABC,... | |
 | John Playfair - 1836 - 488 sider
...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...square of the line which meets it, the line which meetn also touches the circle. Let any point D be taken without the circle ABC, and from it let two... | |
 | 1836 - 488 sider
...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 a circle, be equal to the line which meets it, the line which meets shall touch the circle. BOOK iv.... | |
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If from any point 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... 
