The Young Algebraists Companion Or a New And Easy Guide to Algebra Introduc
The Young Algebraists Companion Or a New And Easy Guide to Algebra Introduc
Daniel Fenning
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And r find I of a^. To be the fame ; therefore I con- clude that I is zi f ^. Phi, It is right ; but fuppofe you could neither abbreviate a FraSfion^ nor yet find its Value, how then would you a6t ? Tyr. That I do not know. Phi. Indeed, Tyrunculus, though you can work the Rule of Proportion pretty well, you are no great Judge of the Niture of it I find. Obferve then, Firfi, As the Numerator cf the Fra6tion, in its hwcjl TcTjm^ is to its Denominator. , fo will the Nil- ?neratGr of the original o...r given Fra6tion be to its own Denominator : Or.^ as one Numeratcr to the other^ fo will one Denominator be to the other y^Q* Ex- CyABBREVIATIONS. 63 Example 2. 71? prove whether \ be equal to iltf or n Ml l^tll* Flrft, as 3 to 5, fo is 84 to 140 : Or, as 3 to 84, fo is 5 to 140, ^c. Again, As 127 to 180, (o is 30480 to 43200, ^c. ^c. &c. Tyr. I am yet more oblig'd to you Philo?nathes ; for this mufl: infallibly prove what you have faid fare enough. Phi. Since you are fenfible of this, Tyruncvlns^ I will fhew you another Way to prove it much flioiter and eafier than the former.
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