 | Robert Simson - Trigonometry - 1762 - 488 pages
...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 fquare of BD which meets it; the ftraight line I3D touches d the circle ACD. and becaufe- BD touches... | |
 | Euclid - 1781 - 552 pages
...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 fquare of BD which meets it ; the ftraight line BD touches* the circle ACD ; and becaufe BD touches... | |
 | Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...the other meets the circle, and that the reftangle AB, BC contained by the whole of the cutting line, and the part of it without the circle, is equal to the fquare of BD which meets it ; the ftraight , 37. 3. Hne BD touches d the circle ACD ; and becaufe BD... | |
 | Robert Simson - Trigonometry - 1804 - 530 pages
...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 fquare of BD which meets it; the ftraight line BD touches <1 the circle ACD. and becaufe BD touches... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...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 ; d37. 3. the straight line BD touches d the circle ACD ; and because BD touches... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...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 DCA, PB two straight lines... | |
 | Euclides - 1816 - 588 pages
...other meets the circle,/ and that the rectangle AB,i BC, contained by the wholel of the cutting line, and the part of it without the circle, , is equal to the square of BD, which meets it; the straight '37. S. line BD touches'1 the circle ACD; and because BD touches... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...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 twt straight lines... | |
 | Daniel Cresswell - Geometry - 1819 - 446 pages
...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... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...the other meets the cirde, 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 (37. 3.) the circle ACD ; and because BD touches... | |
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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. 
