Sect. I.

Problem IX.

To find the Square-Root of any Number under 1000000.

The Extraction of Roots is one of the hardest Lessons in Arithmetick; yet by the help of this Instrument it may be perform’d with less trouble than any of the foregoing Problems: For if the Lines C and D be applied one to another, so as 10 at the end of D be even with 10 at the end of C; I say, the Lines thus applied are like a Table shewing the Square-Root of any Number by Inspection only; for against any Number upon C, you have the Square-Root thereof upon D, & contr.

    Note, When the Number given consists of 1, 3, 5 or 7 places of Integers, seek it in the first Radius on the Line C, and against it you have the Root requir’d upon D.

    Example. Let the Number given be 144; I find this on the first Radius on the Line C; and against it is 12, the Root sought. In like manner,

    2. When the Number given consists of 2, 4, 6, or 8 Places of Integers, find it in the second Radius upon the Line C, and against it you have the Root upon D.

    Example: Let 16 be the Number given.

    I seek 16 in the second Radius upon C, and against it is 4, the Root upon D. In like manner,

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This page was last updated on 29 March 2000.