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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... "
The First Three Sections of Newton's Principia: With Copious Notes and ... - עמוד 8
מאת Isaac Newton - 1826 - 183 דפים
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The Mathematical Principles of Natural Philosophy, כרך 1

Isaac Newton - 1729 - 320 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...
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The Mathematical Principles of Natural Philosophy, כרך 1,מהדורה 1

Isaac Newton - 1803
...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....
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Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Rev. John Allen - 1822 - 494 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...
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Commentaries on the Principia of sir Isaac Newton respecting his theory ...

Joseph Denison - 1846
...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...
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An elementary treatise on mensuration

Benjamin Theophilus Moore - 1863 - 278 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...
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Principia: First Book. sections I, II, III

Isaac Newton - 1900 - 292 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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