The description and use of the carpenters-rule: together with the use of the line of numbers (inscribed thereon) in arithmetick and geometry. And the application thereof to the measuring of superficies and solids, gaging of vessels, military orders, interest and annuities: with tables of reduction, &c. : To which is added, the use of a (portable) geometrical sun-dial, with a nocturnal on the backside, for the exact and ready finding the hour of the day and night: and other mathematical conclusions. Also of a universal-dial for the use of seamen or others. With the use of a sliding or glasiers-rule and Mr. White's rule for solid measure. / Collected and fitted to the meanest capacity by J. Browne.

PROB. 7. Having the breadth and depth of a squared Solid given in inches, to find the length of a Foot in Feet and Inches.

As 1 to the breadth in Inches, so the depth to a fourth number, which is the content of the base in Inches, then as this 4 number is to 1728, so is 1 to the length of a Foot Solid in Inch measure. As 1 to 21, 6, so is 30 to 648, then as 648 to 1728, so is 1 to 2, 667.

Or again thus.

As 12 to the breadth in Inches, so the depth in Inches to a fourth num∣ber; then as this fourth number is to 144 so 1 to the length of a foot solid; as 12 to 21, 6, so 30 to 54; then as 54

is to 44, so is 11 unto 2, 667. the length required.

Example.

The side of a square given in inches to find how much is in a foot long. Extend the Compasses from 12 to the Inches square the same extent turned the same way from the Inches square shall shew how much is in a foot long. At 18 inches square in every foot long, is 27 inches, or 2 foot 3 in∣ches: But if the side of the square be given in feet and parts, Say, as 1 to the feet and parts square, so is that to the quantity in 1 foot long, which multiplyed by the feet long gives the whole content.