 | 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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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 line BD touches the circle ACD : (in. 
