| George Lees - 1826
...and the other DB touches it ; the rectangle AD. DC contained by the whole line which cuts the circle, **and the part of it without the circle, is equal to the square** of DB, the line which touches it. ' First, let DCA pass through the centre E, join EB ; then the angle... | |
| Robert Simson - 1827 - 513 páginas
...other meets the circle, and that the rectangle AB, BC, contained by the whole of the cutting line, **and the part of it without the circle, is equal to the square** of BD which meets it; the straight line BD touches * the circle ACD : and because • 37. s. BD touches... | |
| Euclid - 1835 - 513 páginas
...circle, and the other touches it ; the rectangle contained by the whole line which cuts tJie 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 DCA, DB two straight lines... | |
| 1836 - 472 páginas
...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. XXXVII. If from a point without a circle there be drawn two straight... | |
| Andrew Bell - 1837 - 240 páginas
...circumference, one of which cuts, and the other meets, the circle, and that the rectangle I AB • BC **contained by the secant, and the < part of it without the circle, is equal to the square** of BD which meets it ; the straight line BD touches the circle ACD fi" (III. 37) ; and because BD touches... | |
| Euclid, James Thomson - 1837 - 390 páginas
...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 DCA, DB two straight lines... | |
| L. H. Tyler - 1837
...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 square of a b : Now... | |
| Charles Reiner - 1837 - 215 páginas
...tangent and the other cuts the circle, the rectangle contained by the line which cuts the circle and by **the part of it without the circle is equal to the square** of the tangent. 11. If, from the same point without a circle, several straight lines are drawn cutting... | |
| Euclides - 1838
...the other meets the circle, and that the rectangle AB-BC, contained by the whole of the cutting line, **and the part of it without the circle, is equal to the square** of BD which meets it ; the straight line BD touches* the circle ACD : and ' because BD touches the... | |
| Euclides - 1841 - 351 páginas
...other meets the circle, and that the rectangle AB, BC, contained by the whole of the cutting line, **and the part of it without the circle, is equal to the square** of BD which meets it: therefore the straight *37. 3. line BD touches* the circle ACD. And because BD... | |
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