 | John Playfair - 1832 - 358 σελίδες
...a circle there be drawn two straight 'lines, one of which cuts the circle, and the other meet sit; if the rectangle contained by the whole line, which...without the circle, be equal to the square of the line which meets it, the line which meets shall touch the circle. Let any point D he taken without the circle... | |
 | John Playfair - 1833 - 346 σελίδες
...the circle. A PROP. XXXVII. THEOR. a point without a circle there be drawn two 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... | |
 | Euclid - 1835 - 540 σελίδες
...circle. PROP. XXXVII. THEOR. *• See N. If from a point without a circle there be drawn two straight lines, one of which cuts the circle, and the other...without the circle be equal to the square of the line which meets it, the line which meets, also touches the circle. a 17. a b 18. 3. c36. 3. Let any point... | |
 | 1836 - 488 σελίδες
...of the line which touches it. XXXVII. If from a point without a circle there be drawn two straight lines, one of which cuts the circle, and the other...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.... | |
 | John Playfair - 1837 - 332 σελίδες
...angled triangles. 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...without the circle, be equal to the square of the line which meets it, the line which meets shall touch the circle. Let any point D be taken without the circle... | |
 | 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,... | |
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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... 
