 | Euclid, James Thomson - 1837 - 410 σελίδες
...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... | |
 | Mrs. L. H. Tyler - 1837 - 302 σελίδες
...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 - 112 σελίδες
...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,... | |
 | Robert Simson - 1838 - 434 σελίδες
...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 - 136 σελίδες
...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 - 264 σελίδες
...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 - 378 σελίδες
...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 - 316 σελίδες
...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 - 332 σελίδες
...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 - 218 σελίδες
...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... | |
| |
If from a point without a circle there 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-... 
