Enneades arithmeticæ, the numbring nines, or, Pythagoras his table extended to all whole numbers under 10000 and the numbring rods of the Right Honourable John Lord Nepeer : enlarged with 9999 fixt columns or rods, of single, double, triple, and quadruple figures, and with a new sort of double and moveable rods, for the much more sure, plain and easie performance of multiplication, division, and extraction of roots ...

Example of Division

Let 5678556 be a Dividend, and 4628 the Di∣visor. set them down as in the Margent e with a Semilune, for the Quotient, and Tabulate the Di∣visor. Then enquire how often can the Divisor 4628. be taken out of the first partial Dividend, viz. 5678. Only once; Therfore put 1 for Quotient in the Semilune, and Subtract 4628 out of 5678. and t••ere will remain 1050 the work standing (if you cash t••e Figures dispatcht) as in f. Next bring down 5 out o•• the Dividend, and place it on the right Hand of the remainder, as you see in g separated with a Comma. This done, seek in the cells of the Divisor for 10505 (the next par∣tial Dividend) or for the next less Number then 10505. In the 2d. cell is 9256 the next less. Put 2 in the Quotient, and Subtract 9256 out of 10505. and the remainder will be 1249 to which bring down the other) of the Dividend, and dash what is dispatcht. Then will the work stand, as in h

In like manner proceed to find the 3d. and 4th. figure of the Quotient, and the work finished will appear, as in i Others dash no figures at all, not place the Quotient on the Right Hand of the Di∣vidend, but set every quote-figure over against the cell of the Divisor from whence it was taken. E∣very remainder they distinguish with a colum•• from the figure brought down out of the Dividend▪ as you may see in k When in one Number ther•• happen to be two columns, there will be a cypher in the Quotient; when 3 Commaes, then 2 Cy∣phers in the Quotient. The like Method serve••

wel•• Extraction of the Square Root, and much Fac••∣••tate the examining of the work done. If any ••umber remain after Division ended, it will be ••he Numerator of a Fraction, whose Denominator ••s the Divisor. When you turn Integers into a Ra∣••ius of Decimals, Division either ceases, or is easily ••ad by cutting off so many Figures (on the Right ••Hand) from the product of multiplication as are in ••he Radius, excepting one.

Notes

• e

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• f

  〈 math 〉〈 math 〉
• g

  〈 math 〉〈 math 〉
• h

  〈 math 〉〈 math 〉
• i

  〈 math 〉〈 math 〉
• k

  〈 math 〉〈 math 〉