| Robert Simson - 1762 - 466 páginas
...without a circle two ftraight 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,** {hall be equal to the fquare of the line which touches it. Let D be any point without the circle ABC,... | |
| Robert Simson - 1775 - 520 páginas
...without a circle two ftraight lines be drawn, one of which cuts the circle, and the other touches it ; **the rectangle contained by the whole line •which...the circle, and the part of it without the circle,** fliall be equal to the fquare of the line which touches it. Let D be any point without the circle ABC,... | |
| Euclid - 1781 - 520 páginas
...them is equal to the fquare of the ftraight line AD which touches the circle. PROP. XXXVII. THEO R. **IF from a point without a circle there be drawn two...which cuts the circle, and the other meets it ; if the** re&anglc contained by the whole line which cuts the circle, and the part of it without the circle be... | |
| Alexander Ingram - 1799 - 351 páginas
...circle, are equal to one another, viz. the reftangle BA, AF to the reftangle CA, AE : For each of them **is equal to the fquare of the ftraight line AD which...which cuts the circle, and the other meets it ; if the** redlangle contained by the whole line which cuts the circle, and the part of it without the circle... | |
| Robert Simson - 1804
...without a circle two ftraight lines be drawn, one of which cuts the circle, snd the other touches it ; **the rectangle contained by the whole line which cuts...the circle, and the part of it without the circle,** fhall be equal to the fquare of the line which touches it. Let D be any point without the circle ABC,... | |
| Robert Simson - 1806 - 518 páginas
...the 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...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 any point D be... | |
| Euclides - 1816 - 528 páginas
...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,... | |
| John Playfair - 1819 - 317 páginas
...the circle. A D. PROP. XXXVII. THEOR. ff from a point without a circle there be drawn two straight **lines, one of which cuts the circle, and the other...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 any point D be... | |
| John Mason Good - 1819
...point without в 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...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... | |
| John Playfair - 1819 - 333 páginas
...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... | |
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