 | Isaac Newton - 1729 - 444 דפים
...ratio of equality with AD. COR. a. And if through B and^ moreright lines are drawn asB£, BD, AF,AG cutting the tangent AD and its parallel BF; the ultimate ratio of all the abfcifla's AD, AE, BF, BG, and of the chord and arc AB, any one to any other, will be the ratio of... | |
 | Isaac Newton - 1803 - 310 דפים
...evanefcent arc ACB; becaufe, completing the parallelogram AFBD, it is always in a ratio of equality with AD. COR. 2. And if through B and A more right lines are...and its parallel BF; the ultimate ratio of all the abfciflas AD, AE, BF, BG, and of the chord and arc AB, any one to any other, will be the ratio of equality.... | |
 | Rev. John Allen - 1822 - 516 דפים
...equality to AD. Cor. 2. And if through B and A, there be drawn more right lines BE, BD, AG and AF, cutting the tangent AD and its parallel BF ; the ultimate ratio of all the abscissas or right lines cut off AD, AE, BF, BG, and of the chord and arch AB, to each other, is the ratio of... | |
 | Joseph Denison - 1846 - 106 דפים
...point; and yet we shall find that Newton's theory depends altogether on that converse reasoning. " Cor. 2. And if through B and A more right lines are...abscissas AD, AE, BF, BG, and of the chord and arc AB, any one to any other will be the ratio of equality." Comment. This corollary is equally true with the... | |
 | Benjamin Theophilus Moore - 1863 - 320 דפים
...cutting the tangent AD and the straight line BF parallel to it ; the ultimate ratio of all the abscissae AD, AE, BF, BG and of the chord and arc AB to one another will be a ratio of equality. Cor. 3. And, therefore, in every argument concerning ultimate... | |
 | Isaac Newton - 1900 - 320 דפים
...BD, AF, AG cutting the tangent AD and BF, parallel to it ; the ultimate ratios of all the abscissa AD, AE, BF, BG and of the chord and arc AB to one another will be ratios of equality. COR. 3. And, therefore, all these lines in every argument concerning... | |
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BF parallel to the tangent, always cutting any right line AF passing through A in F, this line BF will be ultimately in the ratio of equality with the evanescent arc ACB; because, completing the parallelogram AFBD, it is always in a ratio of equality... 