| Euclid, James Thomson - 1837 - 390 sider
...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... | |
| L. H. Tyler - 1837
...less is the 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... | |
| Euclides - 1837 - 88 sider
...two straight lines be drawn, one of which cuts the circle, and the other touches it, the rectangle B/ **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. Steps of the Demonstration to Case 1st,... | |
| Euclid, Robert Simson - 1838 - 416 sider
...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,... | |
| Thomas Oswald Blackett - 1838 - 106 sider
...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,... | |
| Euclides - 1838
...equal to each other. PROP. XXXVII. THEOR. If from a point without a circle there be 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... | |
| Euclides - 1841 - 351 sider
...without a circle two straight lints 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,... | |
| Euclides - 1842
...another. PROP. XXXVII. THEOR. IF from a point on the exterior of a circle there be drawn two straight **lines, one of which cuts the circle, and the other...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... | |
| John Playfair - 1842 - 317 sider
...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... | |
| Euclid - 1845 - 199 sider
...circle. PROPOSITION XXXVII. THEOR. — If from a point without a circle there be draimi two straight **lines, one of which cuts the circle, and the other...whole line which cuts the circle, and the part of it** withmit the circle be equal to the square of the line which, meets it, the line which meets shall touch... | |
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