| John Playfair - 1819 - 317 pagina’s
...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...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 taken without... | |
| John Playfair - 1819 - 333 pagina’s
...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... | |
| John Mason Good - 1813
...circle liiere be drawn two 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... | |
| Euclid, Robert Simson - 1821 - 516 pagina’s
...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** circlei shall be equal to the square of the line which touches it. Let D be any point without the circle... | |
| Peter Nicholson - 1825 - 372 pagina’s
...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,... | |
| 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 pagina’s
...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...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 taken without... | |
| Euclid, Robert Simson - 1829 - 516 pagina’s
...straight lines, one of which cuts the circle, and the other meets it; if the rectangle contained hy **the whole line, which cuts the circle, and the part of it without the circle be equal to the square** of the line which meets it, the line which meets it shall touch the circle.* Let any point D be taken... | |
| John Playfair - 1833 - 333 pagina’s
...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 - 513 pagina’s
...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...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. c36. 3.... | |
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