Selected quad for the lemma: day_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
day_n	hour_n	minute_n	pole_n	5,045	5	12.8170	5	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A50423	Arithmetick vulgar, decimal, & algebraical. In a most plain and facile method for common capacities. Together with a treatise of simple and compound interest and rebate; with two tables for the calculation of the value of leases and annuities, payable quarterly; the one for simple, the other for compound interest, at 6. per cent. per annum; with rules for making the like for any other rate. To which is added a new, and most practical way of gauging of tunns. As also the art of cask-gauging, for the use of His Majesties Officers of the Excise.	Mayne, John, fl. 1673-1675.	1675 (1675)	Wing M1482; ESTC R217772	41,648	228

please Examples To reduce any decimal Fraction out of a greater denomination into a lesser multiply the Fraction by those parts of the Integer into which you would have it reduced as .65 being the parts of a Pound you would know how many Shillings are contained in the Fraction multiply it by 20 If you desire the Pence therein contained multiply it by 240 or if Farthings multiply by 960 the number of Farthings in a Pound or 20 Shillings The decimal parts of a Foot are reduced by multiplying them by 12 if parts of a Foot Square by 144 and the decimal parts of a Foot Solid by 1728 the Cubick Inches in a Foot of Solid The decimal parts of a Pound are reduced by 16 the Ounces in a Pound Averdupois and 12 the Ounces in a Pound Troy The decimal parts of a Beer Barrel by 36 and by 32 reduceth the parts of an Ale Barrel into Gallons and Gallons into Pints by 8 Gallons into Cubick Inches by 282 and for Wine Gallons by 231 the number of Cubick Inches in such a Gallon c. As greater denominations are reduced to lesser by a multiplication of the several parts of the Integer so lesser denominations are reduced to greater by division Any number of Shillings are reduced into Pounds and the decimal parts of a Pound if you divide them by 20 and Pence if divided by 240. Example Hours are reduced into the decimal parts of a Day if you divide them by 24 the Hours in a Day Natural and Minutes into the parts of an Hour if divided by 60. Perches are reduced into the decimal parts of an Acre if you divide them by 160 the number of Square Poles or Perches in an Acre and any ●●mber of Feet into Poles and the decimal parts of a Pole if you divide them by 16.5 the Feet in a Pole or by 15.8.25 the number of Square Feet in a Square Pole but if Wood-land Measure by 18 or if a Square Pole by 324 the Square Feet in a Pole or Perch of such Measure Any number of Inches are reduced into the parts of a Beer Barrel if divided by 10152 and into Ale Barrels and parts by 9024 c. For the ease of the Reader here is made a Table of English Coin reduced into the decimal parts of a Pound sterling A Table of Reduction of English Coin the Integer being one Pound Shillings Decimals Pence Decimals of a Pound 19 .95 11 .0458333 18 .9 10 .0416667 > 17 .85 9 .0375 16 .8 8 .0333333 <

Example then subduct this Product from the Figures standing over them and set down the Remainder Then for a new Dividend I bring down the next figure and postpone that to the Remainder and inquire how many times 3 in 6 I cannot have twice because I cannot have twice 5 from 5 I say then once and place 1 in the Quotient proceeding as before saying once 5 is 5 which I place under the first 6 toward the right hand and once 3 is 3 which I set down under the other 6 subducting these as the former I find the Remainder to be 31. After which I bring down the next figure in the Dividend and postpone it to the Remainder as in this Example Then I inquire how many times 3 in 31 I suppose 9 times placing 9 in the Quotient I multiply again saying 9 times 5 is 45 5 and carry 4 then 9 times 3 is 27 and 4 is 31 these being set down as before directed and subducted there will remain nothing I then conclude that the Divisor is so often contained in the Dividend as is expressed in the Quotient viz. 419 times For further Instructions take these Examples REDUCTION REduction is twofold viz. bringing greater denominations into smaller and that by Multiplication as Pounds into Shillings Shillings into Pence c. Also lesser denominations are reduced into greater by Division as Pence into Shillings Shillings into Pounds Minutes into Hours Hours into Days and Days into Years c. Having any number of Pounds to reduce into Pence multiply them by 240. Example How many Pounds Shillings and Pence are contained in 22929 Farthings In 544542 Cubique Inches how many Beer Barrels Firkins and Gallons THE RULE OF THREE THis Rule is so called because herein are three numbers given to find a fourth of these three numbers two are always to be multiplied together and their Product is to be divided by the third and the Quotient exhibits the fourth number or the number sought And here note That of the three given numbers if that number that asketh the Question be greater than that of like denomination with it self and require more or if it be less and require less then the number of like denomination is the Divisor Or if the number that asketh the Question be less than that of like denomination and require more or if it be more and require less then the number that asketh the Question is the Divisor Example If 3 Yards of Sarcenet cost 15 s. what shall 32 Yards cost Which 3 numbers if you please may stand thus Here you may see the term that asketh the Question is greater than that of like denomination being 3 and the other 32 and also requires more viz. a greater number of Shillings therefore according to the Rule the first term or the term of like denomination to that which asketh the Question is the Divisor And the Answer is 160 Shillings which being divided by 20 will be found 8 l. Again If 32 Ells of Holland cost 160 s. what shall 3 Ells cost In this Question being the Converse of the former you may see the term that asketh the Question here 3 is lesser than that of like denomination being 32 Ells and also requires less therefore the first term here also is the Divisor And the Answer is 15 s. If 36 Men dig a Trench in 12 Hours in how many Hours will 144 Men dig the same In this Question the term that asketh the Question is greater than that of like denomination and requireth less wherefore the term that asketh the Question is the Divisor If 144 Workmen build a Wall in 3 Days in how many Days will 36 Workmen build the same This Question you may perceive to be the Converse of the former here the term that asketh the Question is less than that of like denomination and requires more the term that asketh therefore is the Divisor If 125 lb. of Bisket be sufficient for the Ships Company for 5 Days how much will Victual the Ship for the whole Voyage being 153 Days This Question is of the same kind with the first Example here the two terms of like denomination are 5 Days and 153 Days the term that asketh the Question being more than the term of like denomination and also requiring more so according to the general Rule the term of like denomination to that which asketh the Question is the Divisor It matters not therefore in what order they are placed so you find your true Divisor but if you will you may set them down thus The Answer is 3825 lb. weight of Bisket A Ship having Provision for 96 Men during the Voyage being accompted for 90 Days but the Master taking on boord 12 Passengers how many Days Provision more ought he to have Which is no more than this If 96 Men eat a certain quantity of Provision in 90 Days in how many Days will 108 Men eat the same quantity The Answer is 80 so that for 108 Men he ought to have 10 Days Provision more If the Assize of Bread be 12 Ounces Corn being at 8 s. the Bushel what ought it to weigh when it is sold for 6 s. the Bushel In this Question the term inquiring being less than the term of like denomination and requiring more therefore is the term so inquiring the Divisor The Answer is 16 Ounces THE RULE OF PRACTICE IT is necessary that the Learner get these two Tables perfectly by heart which are only the aliquot parts of a Pound and of a Shilling The Parts of a Shilling d. q.   0 1 Forty eighth 0 2 Twenty fourth 0 3 Sixteenth 1 0 Twelfth 1 2 Eighth 2 0 Sixth 3 0 Fourth 4 0 Third 6 0 Half The Parts of a Pound s. d. q.   0 00 1 The Nine hundred and sixtieth 0 00 2 The Four hundred and eightieth 0 00 3 The Three hundred twentieth 0 01 0 The Two hundred and Fortieth 0 01 2 The Hundred and sixtieth 0 02 0 The Hundred and twentieth 0 03 0 The Eightieth 0 04 0 The Sixtieth 0 05 0 The Forty eighth 0 06 0 The Fortieth 0 08 0 The Thirtieth 0 10 0 The Four and twentieth 1 00 0 The Twentieth 1 03 0 The Sixteenth 1 04 0 The Fifteenth 1 08 0 The Twelfth 2 00 0 The Tenth 2 06 0 The Eighth 3 04 0 The Sixth 4 00 0 The Fifth 5 00 0 The Fourth 6 08 0 The Third 10 00 0 The Half Having these Tables perfectly in memory any Question propounded will be readily resolved only by dividing the given number of Yards Ells Feet Inches Gallons Quarts Pounds or Ounces Of which take some Examples Having any number of Shillings to reduce into Pounds cut off the last figure toward the right hand by a line and the figures on the left hand of the line are so many Angels as they express Unites draw a line under them and take the half of them and you have the number of Pounds Examples Any Commodity the value

stand thus Then as before directed multiply the second and third Numbers and divide by the first and the quotient exhibits the fourth Proportional or the Number sought The Answer is 2 l. 7 s. 5 d. 1 q. Quest. 2. If 6 Yards of Broad Cloth cost 4 l. what shall 32 Yards cost Here the Term which asketh the Question is greater than the Term of like denomination and requires more therefore the Term of like denomination to the Term that asketh the Question is the Divisor The Answer is 21 l. 6 s. 8 d. Quest. 3. If 320 Men raise a Breast-work in 6 Hours in what time will 750 Men do the same Here the Term that asketh the Question is more than the Term of like denomination and requires less therefore the Term that asketh the Question is the Divisor and this is the Backer Rule of Three The Answer is 2 Hours 33 Minutes and 36 Seconds Quest. 4. If 756 Men dig a Trench in 12 Hours in how many Hours will 126 dig the same Here the Term that asketh the question is less than the Term of like denomination and requires more then according to the Rule the Term demanding is the Divisor and this question is also in the Inverse Rule of Three The Answer is 72 Hours There is sometimes four Numbers given in a question yet is it but a Single Rule of Three for one of the four Numbers is of no signification and might as well have been left out Example Quest. 5. If 10 Workmen build a Wall 40 Foot long in 3 Days in what time might 50 Men have done the same Here note there is four numbers given and yet there is but three to be used in working the question you must therefore find which those 3 are that are necessarily to be used Thus First you must take the Term that asketh the question here 50 Workmen secondly you must have the Term of like denomination with it which is 10 Workmen thirdly the Term sought being Days you must take the Term of like denomination with that also which is here 3 Days The superfluous Term then in the question is 40 which might have been left out and they will then stand thus The Answer is Half a Day or 12 Hours This question is in the Rule of Three Inverse Quest. 6. If 100 l. gain 6 l. in 12 Months what shall 32 l. gain in the same time In this question the 12 Months is the superfluous Term being of no use in the Calculation the Terms required being 100 l. 6 l. and 32 l. Note Though the Terms in this question be all Money and so may seem to be of one species yet they are not 100 l. and 32 l. are of one kind being both Principal and the other Term is of the same denomination with the Term sought viz. Gain or Interest The Answer is 1 l. 18 s. 4 d. 3 q. ferè And this question is in the Direct Rule of Three the Term that asked the question being less than the Term of like denomination and also requiring less c. THE DOUBLE GOLDEN RULE THis Rule is called the Double Golden Rule or Double Rule of Three because it requires two distinct Calculations before you can answer the question And in this Rule there are five Numbers given to find a sixth sought This differs not in the operation from the Single Rule only the Calculation is twice repeated Of the five Numbers given the question is sometimes annexed to two and sometimes but to one If the question be annexed to two of the five given Numbers then are there two of the other three of the same species with those that ask the question and the third is proportional to the Number sought For the due regulation of these two Calculations when the question is annexed to two of the five Numbers take these Directions First take one of the Numbers demanding and let that ask the question in the first operation secondly take that of the same species and also that of the like quality with the respondent of these three constitute your first Rule of Proportion then find which is your Divisor according to your Rule pag. 55. and proceed to find the fourth in proportion Then for your second Rule of Three take the other of the two Numbers to which the question is annexed and let that ask the question take also the Number of like kind and the fourth Number found in the first Calculation judge which is your Divisor and work accordingly the last Quotient will be the sixth Number or the Number sought Example If a Trench be 20 Perches in length and made by 12 Men in 18 Days how long may that Trench be that shall be wrought be 48 Men in 72 Days Here the question is annexed to two of the five Numbers viz. 48 Men and 72 Days now according to the foregoing direction take one of the two Numbers inquiring 48 and say Then take the other of the two Numbers inquiring and say If 6 Lighters bring 60 Tuns of Ballast in 5 Tides how many Tun will 15 bring in 12 If a Man travel 160 Miles in 4 Days when the Days are 10 Hours long in how many Days will he travel 195 Miles when the Days are 14 Hours long When a Question is stated in the Double Rule of Three so that there is but one Number inquiring First take that Number and let it ask the question in the first Rule take also the Number of like denomination together with the Number joyn'd to that of like denomination and of these three Numbers constitute your first Rule of Proportion Secondly let that Number which was found in the first Operation ask the question in the second then take the Number of like denomination to it and also the Number joyn'd with that like Number of these three is your second compounded find your Divisor and proceed the last quote exhibits the Answer Example If 4 Crowns at London make 2 Ducates at Venice and 8 Ducates at Venice make 20 Patacoons at Genoa how many Patacoons at Genoa will make 120 Crowns at London Of the Square Root The measure of a Square is by a Square that is when it is known how many Square Inches Feet or Perches is contain'd in any Superficies the Content or Area of the said Superficies is then said to be known And in a Square it is found by multiplying the length by the breadth which being equal it is called Squaring of a Number and by the Learned Dr. Pell Involution and the Product or Area is the second Power now the Side of such a Square is by Geometricians called a Root or the first Power Let the Side a b be 222 Inches Feet or Perches c. Now having the Area of a Square or Square Number given and the Side or Root be required This is called the Extraction of a Square Root and also Evolution of the second Power Let the Number be as before 349284. The first thing to be