The vvell spryng of sciences whiche teacheth the perfecte woorke and practise of arithmeticke, bothe in whole nombers and fractions, with suche easie and compendious instruction into the said arte, as hath not heretofore been by any sette out nor laboured. Beautified with moste necessary rules and questions, not onely profitable for marchauntes, but also for all artificers, as in the table doeth partlie appere: set forthe by Humfrey Baker citezeine of Lo[n]don.

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Title: The vvell spryng of sciences whiche teacheth the perfecte woorke and practise of arithmeticke, bothe in whole nombers and fractions, with suche easie and compendious instruction into the said arte, as hath not heretofore been by any sette out nor laboured. Beautified with moste necessary rules and questions, not onely profitable for marchauntes, but also for all artificers, as in the table doeth partlie appere: set forthe by Humfrey Baker citezeine of Lo[n]don.
Author: Baker, Humfrey, fl. 1557-1587.
Publication: Imprinted at London :: By Ihon Kyngston, for Iames Rowbothum,; M.D.LXVIII. [1568]
Rights/Permissions: To the extent possible under law, the Text Creation Partnership has waived all copyright and related or neighboring rights to this keyboarded and encoded edition of the work described above, according to the terms of the CC0 1.0 Public Domain Dedication (http://creativecommons.org/publicdomain/zero/1.0/). This waiver does not extend to any page images or other supplementary files associated with this work, which may be protected by copyright or other license restrictions. Please go to http://www.textcreationpartnership.org/ for more information.
Subject terms: Arithmetic -- Early works to 1900.; Weights and measures -- Early works to 1800.
Link to this Item: http://name.umdl.umich.edu/A01957.0001.001
Cite this Item: "The vvell spryng of sciences whiche teacheth the perfecte woorke and practise of arithmeticke, bothe in whole nombers and fractions, with suche easie and compendious instruction into the said arte, as hath not heretofore been by any sette out nor laboured. Beautified with moste necessary rules and questions, not onely profitable for marchauntes, but also for all artificers, as in the table doeth partlie appere: set forthe by Humfrey Baker citezeine of Lo[n]don." In the digital collection Early English Books Online. https://name.umdl.umich.edu/A01957.0001.001. University of Michigan Library Digital Collections. Accessed June 17, 2024.

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¶ The eyght Chapter treateth of du∣plation, triplation, and quadrupla∣tion of all broken numbers.

IF you wyll double any broken number, you shall diuide y^e same by½: likewise if you wyll triple any fraction you muste diuide it by ⅔. And for to quadruple any broken nū∣ber, you shall diuide it by ¼, and so is to be vnderstande of all other.

Example of duplation.

IF you will double ⅜ you shal diuide 3/•• by ½, and thereof com∣meth 6/8, which being ab∣breuied 〈 math 〉〈 math 〉 are ¾: as by ex∣ample.

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Or otherwise, in case the denomina∣tor of any fraction bee an euen num∣ber, you may take halfe the sayde de∣nominator, without anye other ope∣ration, and the numerator to abyde still y^e numerator, vnto the said halfe of the denominator of the Fractiō, as by the other exāple before rehearsed: that is to say of 〈◊〉〈◊〉, take ½ of 8. which is 4. and that is the denominator, and 3. remaineth stil numerator to 4. and it maketh ¾ and so of all other. But in case the denominator bee an odde nomber, that is to say, not euen, then you may multiply the numerator by 2. or els double y^e numerator, whiche is al one thing; and that fraction shall bee doubled. Example, if you will double ••/5 you must onely multiply the numerator 3. by 2. & they be 6. whiche maketh that fraction to be 〈◊〉〈◊〉, the which 6. being diuided by 5. bringeth 1. ⅕ and so much is the double of 3/••.

Example of Triplation.

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If you wil triple ⅗ you muste diuide ••/5 by ••/3 and thereof commeth 9/5 whiche beinge diuided bringeth 1⅘, or other∣wise, bicause the denominator is an odde number you maye multiplie the numerator 3. by 3. and therfore com∣meth 9. which maketh 〈◊〉〈◊〉 as before.

Example of quadruplacion.

If you will quadruple ⅘, you shall diuide ⅘ by ¼ and thereof commeth ⅘ which 16. being diuided by 5. bringeth 3••/5, or otherwise, bicause the denomi∣nator of the fraction is an odde nūber, you shall multiplie the numerator of the 〈◊〉〈◊〉 that is to say 4. by 4. and therof commeth 16. the whiche diuide by 5. and you shall finde 3. ••/5 as before, and this sufficeth for duplacion, tripiacion and quadruplacion.