| John Playfair - Circle-squaring - 1819 - 350 pages
...dratan 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 stfwtre of the line which meets it, the line which meets shall touch the circle. i... | |
| John Mason Good - 1819 - 800 pages
...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 - Geometry - 1821 - 514 pages
...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 - Mathematics - 1825 - 1046 pages
...be drawn two straight line« one of which cuts the circle, and the other meets it j 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 of ihe line which meets it, the line which meets shall touch the circle. Let... | |
| George Lees - 1826 - 266 pages
...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 - Trigonometry - 1827 - 546 pages
...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- of the line which meets it, the line which meets shall touch the circle. Let... | |
| Euclid, Robert Simson - Geometry - 1829 - 548 pages
...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.*... | |
| John Playfair - Euclid's Elements - 1833 - 346 pages
...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 pages
...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 of the line which meets it, the line which meets, also touches the circle. a... | |
| Mathematics - 1836 - 488 pages
...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** a circle, be equal to the line which meets it, the line which meets shall touch the circle. BOOK iv.... | |
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