 | 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,... | |
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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... 
