| Euclides - 1814 - 558 Seiten
...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...the circle, and the part of it without the circle,** shall be tqual to the square of the line which touches it. Let D be any point without the circle ABC,... | |
| Euclides - 1816 - 528 Seiten
...QED PROP. XXXVI. THEOR. 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...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,... | |
| John Playfair - 1819 - 317 Seiten
...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 of the line which meets it, the line which meets shall touch the circle. Let... | |
| John Mason Good - 1819 - 740 Seiten
...circle liiere be drawn two straight hues, one of which cuts the circle, und the oilier meets it ; if **the rectangle contained by the whole line which cuts the circle, and the part of it without** »he circle he equal to the square of Ihelinrwhich meet» it, the line which meets shall touch the... | |
| Daniel Cresswell - 1819 - 410 Seiten
...convex circumference, For (E.36.3. cor.) the rectangle contained by the one of the lines, so drawn, **and the part of it without the circle, is equal to the** rectangle contained by the other line and the part of it without the circle ; .-. (E. 16. 6.) the two... | |
| Euclid, Robert Simson - 1821 - 514 Seiten
...QED PROP. XXXVI. THEOR. 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...which cuts the circle, and the part of it without the** circlei shall be equal to the square of the line which touches it. Let D be any point without the circle... | |
| Peter Nicholson - 1825 - 372 Seiten
...Proposition XXXVI. Theorem. 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...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,... | |
| George Lees - 1826 - 272 Seiten
...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 equivalent to the square of the line which meets it, the line which meets also touches the circle.... | |
| Robert Simson - 1827 - 513 Seiten
...QED PROP.. XXXVI. THEOR. 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** a1ts the circle, and the part of it without the circle, shall be equal to the square of the line which... | |
| Euclid, Robert Simson - 1829 - 516 Seiten
...straight lines, one of which cuts the circle, and the other meets it; if the rectangle contained hy **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 it shall touch the circle.*... | |
| |