| Peter Nicholson - Mathematics - 1825 - 372 pages
...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
...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 - 513 pages
...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... | |
| John Playfair - Euclid's Elements - 1833 - 333 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
...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 - 472 pages
...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.... | |
| Euclides - Euclid's Elements - 1837 - 112 pages
...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. Steps... | |
| Euclid - Geometry - 1837 - 410 pages
...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... | |
| Mrs. L. H. Tyler - Astronomy - 1837 - 302 pages
...the equatorial di ameter ? What is the curvature of the earth for one mile ? 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, ie the distance cn multipled into nb, equals the... | |
| Thomas Oswald Blackett - Leveling - 1838 - 136 pages
...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,... | |
| |