The Usefulness of Mathematical Learning Explained And Demonstrated: Being Mathematical Lectures ...

Cover The Usefulness of Mathematical Learning Explained And Demonstrated: Being Mathematical Lectures ...
The Usefulness of Mathematical Learning Explained And Demonstrated: Being Mathematical Lectures ...
Barrow Isaac
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Reafon^ are Species of Jubmultiple Reajon. For fince thefc Reafons cannot firiy be fignified by Words of com- mon Ufe, therefore Mathematicians defign them hy prefixingy«^ to the Napes of the Multiple Rea- fons inverfed. For the Words Second^ Tenths Hundredth^ ^oufandtb (hy which are expreffed the Aliquot Pans of Unity) cannot be fO/ fitly apr plied for denoting tbefe Reafons^ becaufe they arc moreover ordinal, and do not only fignify a Di- vifion into Parts, but alfo a certain Place of Things ...difpofed in fome Order : as the third King fwi Romulus, the eighth of the Wife Men^ the hundreiih Tear hence : Odierwife I do not fee but the Thirds Fourth^ Tenth J &c. Reafons might "^lerve for denot- ing thefe Reafons^ as well as Doubky Triple^ i)^ fuple^ &c. for the Species of Multiple Reafons. ft WPcafS ^en that the Corrdative^Xcrms Whole and ." • fan i liECT. XIX. Mathematical LeBures. 361 Part are common to both multiple and fubmultiple Reafon, by taking the Word fVhole according to its native Signification and the Word Part for an Aliquot Part according to Euclid^ ^ Senfe and De- finition, A Part is a Magnitude of a Magnitude j a Ufs of a greater^ when the lefs meafures the greater.

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