| Mrs. L. H. Tyler - Astronomy - 1837 - 302 pages
...polar than 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... | |
| Euclid, James Thomson - Geometry - 1837 - 410 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 circle,** is equal to the square of the line which touches it. Let D be any point without the circle ABC, and... | |
| Thomas Oswald Blackett - Leveling - 1838 - 144 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,...equal to the square of the line which touches it-"** Let D be any point without the circle ABC, and DCA and DB two straight lines drawn from it, of which... | |
| Robert Simson - Geometry - 1838 - 434 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,...equal to the square of the line which touches it.** Let D be any point without the circle ABC, and DCA, DB two straight lines drawn from it, of which DCA... | |
| Euclides - 1838 - 264 pages
...drawn two straight lines, one of which cuts the circle, and the other meets it; and 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... | |
| Great Britain. Committee on Education - School buildings - 1853 - 1218 pages
...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...equal to the square of the line which touches it.** MENSURATION. Section 3. 1. What is the cost of a wall of brickwork 72 ft. 6 ins. long, 19 ft. 3 in».... | |
| Euclides - Geometry - 1841 - 378 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 meeti shall touch the circle. Let... | |
| John Playfair - Euclid's Elements - 1842 - 332 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... | |
| Euclides - 1842 - 320 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** which is on the exterior of the circle, be equivalent to the square of the line which meets it, the... | |
| Euclides - 1845 - 546 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,...equal to the square of the line which touches it.** Let D be any point without the circle ABC, and let DCA, DB be two straight lines drawn from it, of... | |
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