b. k. f. g. q. p. 2. What's the Decimal of 2 I I 5 I i, a Butt be Water Meafure is fo called from measuring of Coals upon the River of Thames, at London; and the Bushel by which Coals are meatured, contains 19 Inches Diameter from Out-fide to Out-fide, and 8 Inches deep, with a plain and even Bottom; and fuch a Bufhel contains 2389.179195 Square or cubic Inches; 36 of thefe Bushels make one Chaldron; 33 Quarts make one Bufhel, and 2 Pints make one Quart. b. q. p. 2. What's the Decimal of 20 27 1, a Chaldron being the Integer? A. These reduced into Pints, are 1375, which divided by 2376 the Pints in a Chaldron, the Quotient is .5787037, the Decimal fought. Of DRY MEASURE. The Denominative Parts are Lafts, Weys, Quarters, Coombs, Bufhels, Pecks, Gallons, Pints. That is, 33.6 cubic Inches make one Pint, 8 Pints make one Gallon, 2 Gallons make one Peck, 4 Pecks make one Bushel, 4 Bubels make one Coomb, 2 Coombs make one Quarter, 5 Quarters make one Wey, or Load, 2 Weys make one Laft. w. 9. C. b. p. 8. p. 2. What's the Decimal of o Laft being the Integer? 4 I 1 3 O 2, A. Thefe reduced into Pints are 2418, which divided by 5120 the Pints in a Laft, the Quotient is .472265, the Decimal fought. Of LAND MEASURE. The Denominative Parts are Acres, Roods, Poles or Perches. That is, 40 Perches make one Rood-land, 4 Rood lands one Acre. 2. What's r. p. 2. What's the Decimal of 1 10, an Acre the Integer? A. These reduced into Perches are 50, which divided by 160, the Quotient is .3125, the Decimal fought. Of LONG MEASURE. The Denominative Parts are Miles, Furlongs, Poles, Yards, Feet, Inches, Barley Corns. That is, 3 Barley Corns make one Inch, 12 Inches make one Foot, 3 Feet make one Yard, 5 Yards make one Pole, 40 Poles make one Furlong, 8 Furlongs make one Mile. f. p. y. f. i. 2. What is the Decimal of o 27 4 2 10, a Mile being the Integer? A. These reduced into Barley Corns are 16572, which divided by 190080 the Barley Corns in a Mile, give in the Quotient 08718434, the Decimal fought. Of YARD MEASURE. The Denominative Parts are Yards, Quarters, Nails. 9. n. 2. What's the Decimal of 3 1, a Yard the Integer ? A. These reduced into Nails are 13, which divided by 16, the Nails in a Yard, the Quotient is .8125, the Decimal fought. Of TIME. The Denominative Parts are Years, Months, Weeks, Days, Hours, Minutes, Seconds. That is, 60 Seconds make one Minute, 60 Minutes make one Hour, 24 Hours make one Day, 7 Days make one Week, 4 Weeks make one Month, 13 Months, 1 Day, and 6 Hours, make one Year JULIAN; or that Year which is observed by us in ENGLAND. d. b.. 2. What's the Decimal of 271 19 15 50, a Year being the Integer? A. These reduced into Seconds are 23483750, which divided by 31557600, the Seconds in a Year, gives the Quotient 74415513, the Decimal fought. Of MOTION. The Denominative Parts are Circles, Signs, Degrees, Minutes, Seconds. That is, 60 Seconds make one Minute, 60 Minutes make one Degree, 30 Degrees make one Sign, 12 Signs make one Circle in the Zodiac, or the Circumference of the Heavens. B 4 2. What's This Table is placed upon one of the Sides of Vero's SlidingRule, What's the Decimal of 23 19 56, a Circle being the Integer? A. Thefe reduced into Seconds make 83996, which divided by 1296000, the Seconds in a Circle, give in the Quotient .064811, the Decimal fought. Of FOOT MEASURE. The denominative Parts are Feet, Inches, Parts. That is, 12 Parts make one Inch, 12 Inches make one Foot. 2. What's the Decimal of of an Inch, a Foot the Integer ? A. It is this Compound Vulgar Fraction of=43• 48) 1.000000 (.020833 ..... Τ 2. What's the Decimal of 34 Inches, a Foot the Integer? Firft, is of, and 3 is, which two Fractions, viz. of, and added together according to the Rule of Addition of Vulgar Fractions, make, which I reduce into a Decimal, as has been taught above. 192) 52.00000000 (.27083333 By the above Method I calculated the following Table. To find the Value of a Decimal Fraction in the known Parts of Money, Weight, Measure, Time, &c. The 10. .22916666 .52083333 .54166666 2.5625 7. .58333333 II. .60416666 I 8. .64583333 The RULE. Multiply the given Decimal by the Denominative Parts of the Thing of which it is a Fraction, and cut off towards the Right Hand of the Product fo many Places as the given Decimal contains, and thofe on the Left Hand are the Value of the given Decimal; and if any thing remain, it is the Decimal of an Integer in the Denomination last found, which must be brought to the lowest Name mentioned: A few Examples will make the Thing plain to the meanest Capacity. 2. What's the Value of this Decimal .0125 of a Pound Sterling? See the Work, 1. .0125 20 Shillings .2500 12 Anfer. Pence 3.co As often as Cyphers fall on the Right Hand of your Work, always drop them; for they have not any manner of Signification. 2. Example. What's the Value of this Decimal .95 of a Pound Sterling? 2. .95 20 Anfwer. Shillings 19.00 3. Example. What's the Value of this Decimal .0375 of a Pound Sterling? .0375 20 Shillings .7500 12 Anfwer. Pence 9.00 4. Example. What's the Value of .528125 of a Pound Sterling? 1. .528125 20 Shillings 10.562500 12 Pence 6.7500 4 Farthings 3.00 Anfw, 105, 6 d. 39. There A Compendious the Decimal of a There is a fort Way of difcovering the Value of a Decimal Method of find- of a Pound Sterling, viz. The firft Figure in the Place of Primes, is, ing the Value of when doubled, fo many Shillings, and the other Figures are FarPound Sterling. things, only obferve that for every 25 to caft away one Farthing. Example. Let .4862 be the Decimal Part of a Pound, and its Value required. Firft, The 4 in the Place of Primes, being doubled, is 8 s. and because the 8 is more than 5, I take away 5, and for it add one Shilling to the 8 s. and that makes it 9 s. and the remaining Figures are 362; but you may omit the laft Figure to the Rightband; then because there is but one 25 in 36, I call 36 but 35 Farthings, which is 8 d. 4, fo the Value of the given Decimal is 9 s. 8 d. 3. The like obferve of any other Decimal of a Pound Sterling. Example 2. 2. What's the Value of .933593 of a Barrel of Ale at LONDON? -933593 1867186 2800779 Gallons 29.874976 4 Quarts 3.499904 Pints .999808 nearly Pint. For it is nine hundred, Ninety-nine thoufand, eight hundred and eight Million-Parts of a Pint. Example 3. 2. What Part of a Foot is .27083333? .27083333 12 Inches 3.24999996 12 Parts 2.99999952 In. Pts. Answer 3 2.9999995 2 That is nearly of an Inch. СНАР. |