Selected quad for the lemma: book_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
book_n	difference_n	discover_v	great_a	41	3	2.1267	3	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A33553	Cockers arithmetick being a plain and familiar method suitable to the meanest capacity for the full understanding of that incomparable art as it is now taught by the ablest school-masters in city and countrey / composed by Edward Cocker ... ; perused and published by John Hawkins ...	Cocker, Edward, 1631-1675.; Hawkins, John, 17th cent.	1678 (1678)	Wing C4819; ESTC R8482	104,626	348

standeth between them or what more is due to A. In order whereunto I first set down the Sum which A lent and draw a line underneath it then under that line set the several Sums of payment as you see in the margent and having brought the several   l. s. d. Lent 564 13 10 paid at several paym 79 16 08 163 18 11 241 15 08 paid in all 485 11 03 Remaines 79 02 07 Sums of payment into one Total by the 5th Rule of the 4th Chapter foregoing I find their Sum amounteth to 485 l. 11 s. 3 d. which I Subtract from the sum first lent by A by the 6th Rule of this Chapter and I find the Remainder to be 79 l. 02 s. 07 d. And so much is still due to A. When the Learner hath good knowledge of what hath been already delivered in this and the foregoing Chapter he will with ease understand the manner of working the following Examples Subtraction of Money   l. s. d. l. s. d. qrs Borrowed 374 10 03 700 10 11 2 Paid 79 15 11 9 03 11 3 Remaines 294 14 04 691 06 11 3   l. s. d. l. s. d. qrs Borrowed 1000 00 00 711 03 00 0 Paid 19 00 06 11 13 00 1 Rem due 980 19 06 699 09 11 3   l. s. d. qrs Borrowed 3300 00 00 0 Paid at several payments 170 10 00 0 361 13 10 1 590 03 04 3 73 04 11 3 Paid in all 1195 12 02 3 Remain due 2104 07 09 1 Subtraction of Troy weight   l. oz. p.w. gr Bought 174 00 13 00 Sould 78 04 16 15 Remaines 95 07 16 09   l. oz. p.w. gr Bought 470 10 13 00 Sold at several Times 60 00 00 00 35 10 18 00 16 07 09 08 48 04 00 00 61 11 19 23 23 00 00 00 Sold in all 245 10 07 07 Rem unsold 225 00 05 17 Subtraction of Apothecaries weight   l. oz. dr scr gr l. oz. dr scr gr Bought 12 04 3 0 00 20 00 1 0 07 Sold 8 05 1 1 15 10 00 1 2 12 Remains 3 11 1 1 05 9 11 7 0 15 Substraction of Averdupois weight   C. qrs l. Tun C qrs l. oz. dr Bought 35 0 15 5 07 1 10 10 05 Sold 16 1 20 3 17 1 16 09 13 Rem 18 2 23 1 09 3 22 00 08 Subtraction of Liquid Measure   Tun hhd gall Tun hhd gall pts Bought 40 1 30 60 3 42 4 Sold 16 1 40 15 3 46 6 Remains 23 3 53 44 3 58 6 Substraction of Dry Measures   Chal. qrs bush pec Ch. qrs bush pec Bought 100 0 00 0 73 2 3 2 Sold 54 1 04 3 46 2 3 3 Remains 45 2 03 1 26 3 7 3 Substraction of Long Measure   Yards qrs Nails Yards qrs Nails Bought 160 1 0 344 0 1 Sold 64 1 2 177 1 3 Remains 95 3 2 166 2 2 Subtraction of Land Measure   Acres Rood perch Acre Rood perch Bought 140 2 13 600 0 00 Sold 70 3 22 54 0 16 Remains 69 2 31 545 3 24 The Proof of Subtraction 8. When your Subtraction is ended if you desire to prove your work whether it be true or no then add the remainder to the minor number and if the aggregate of these two be equal to the major number then was your operation true otherwise false thus let us prove the first Example of the fifth rule of this Chapter where after Subtraction is ended the numbers stand as in the Margent the remainder or difference being 283676 now to prove the work I add the said remainder 283676 to the minor number 153827 by the fourth Rule of the foregoing Chapter and I finde the sum or aggregate to be 437503 equal to the major number or number from whence the lesser is Subtracted behold the work in the Margent The proof of another Example may be of the first Example of the sixth Rule of this Chapter where it is required to Subtract 57 l. 16 s. 03 d. 2 qrs from 375 l. 13 s. 07 d. qrs and by the Rule I find the Remainder to be 317 l. 17 s. 03 d. 3 qrs now to prove it I add the said Remainder 317 l. 17 s. l. s. d. qrs 375 13 07 1 57 16 03 2 317 17 03 3 375 13 07 1 03 d. 3 qrs to the minor number 57 l. 16 s. 03 d. 2 qrs and their summe is 375 l. 13 s. 07 d. 1 qrs equal to the major number which proves the work to be true but if it had happened to have been either more or less than the said major number then the operation had been false 9. The general effect of Subtraction is to find the difference or excess between two numbers and the Rest of a payment made of a greater sum the date of Books printed the age of any thing by knowing the present year and the year wherein they were made created or built and such like The Questions appropriated to this Rule are such as follow Quest. 1. What difference is there between one thing of 125 foot long and another of 66 foot long To resolve this Question I first set down the major or greater number 125 and under it the minor or lesser number 66 as is directed in the third rule of this Chapter and according to the fourth Rule of the same I Subtract the minor from the major and the Remainder excess or difference I finde to be 59 see the work in the Margent Quest. 2. A Gentleman oweth a Merchant 365 l. whereof he hath paid 278 l. what more doth he owe To give an Answer to this Question I first set down the major number 365 l. and under it I place 278 the minor and subtract the one from the other and thereby I discover the excess difference or remainder to be 87 and so much is still due to the Creditor Quest. 3. An obligation was written book printed a childe born a Church built or any other thing made in the year of our Lord 1572 and now we Account the year of our Lord 1677 The Question is to know the age of the said things that is how many years are passed since the said things were made I say if you subtract the lesser number 1572 from the greater 1677 the Remainder will be 105 and so many years past are since the making of the said th●ngs Quest. 4. There are 3 Towns lye in a streight line viz. London Huntington and York now the distance between the f●rthest of these towns viz. London and York is 151 miles and from London to Huntington is 49 miles I demand how far it is from Huntington to York To Resolve this Question subtract 49 the distance between London and Huntington from 151 the distance between London and York and the remainder is 102 for the true distance between Huntington and York CHAP. VI. Of Multiplication of whole Numbers 1. Multiplication is performed by two numbers of like or unlike kinde for the

Ingenious COCKER Now to Rest thou' rt Gon Noe Art can Show thee fully but thine own Thy rare Arithmetick alone can show Th' vast Sums of Thanks wee for thy Labour Cockers ARITHMETICK Being A plain and familiar Method suitable to the meanest capacity for the full understanding of that incomparable Art as it is now taught by the ablest School-Masters in City and Countrey Composed By Edward Cocker late Practitioner in the Arts of Writing Arithmetick and Engraving Being that so long since promised to the world Perused And published by Iohn Hawkins Writing Master near St. Georges Church in Southwark by the Authors correct Copy and commended to the World by many eminent Mathematicians and Writing-Masters in and near London Licensed Sept. 3. 1677. Roger L' Estrange London Printed for T. Passinger at the three Bibles on London-Bridge and T. Lacy at the Golden Lyon in Southwark And sold by C. Passinger at the 7 Stars in the New-Buildings upon London-Bridge 1678. TO his much honored Friends Manwering Davies of the Inner Temple Esquire And Mr. Humphry Davies of St. Mary Newington Butts in the County of Surry Iohn Hawkins As an acknowledgement of unmerited favours humbly Dedicateth this Manuel of Arthmetick Courteous Reader I Having the Happiness of an Intimate Acquaintance with Mr. Cocker in his life time often sollicited him to remember his Promise to the world of Publishing his Arithmetick but for Reasons best known to himself he refused it and after his Death the Copy falling accidentally into my hands I thought it not convenient to smother a work of so considerable a moment not questioning but it might be as kindly accepted as if it had been presented by his own hand The Method is Familiar and easie discovering as well the Theorick as the Practick of that most Necessary Art of Vulgar Arithmetick and thou mayst speedily expect his Decimal Logarithmetical and Algebraical Arithmetick concerning which thou hast a further account given at the end of this Book In the mean time Judge favourably of the present undertaking and thou wilt Oblige him who is Thine to Serve thee John Hawkins From my School near St. George's Church in Southwark Nov. 29. 1677. Mr. Edward Cocker's PROEME or PREFACE BY the sacred influence of Divine Providence I have been instrumental to the benefit of many by vertue of those useful Arts Writing and Engraving And do now with the same wonted alacrity cast this my Arithmetical Mite into the publick Treasury beseeching the Almighty to grant the like blessing to these as to my former labours Seven Sciences supremely excellent Are the chief Stars in Wisdom's Firmament Whereof Arithmetick is one whose worth In beams of Profit and Delight shines forth This crowns the rest this makes man's mind compleat This treats of Numbers and of this we treat I have been often desired by my intimate Friends to publish something on this Subject who in a pleasing freedom have signified to me that they expected it would be extraordinary How far I have answered their expectations I know not but this I know that I have design'd this Work not extraordinary abstruse or profound but have by all means possible within the circumference of my capacity endeavoured to render it extraordinary useful to all those whose occasions shall induce them to make use of Numbers If it be objected that the Books already published treating of Numbers are innumerable I answer that 's but a small wonder since the Art is infinite But that there should be so many excellent Tracts of Practical Arithmetick extant and so little practic'd is to me a greater wonder knowing that as Merchandize is the Life of the Weal-publick so Practical Arithmetick is the Soul of Merchandize Therefore I do ingenuously profess that in the beginning of this undertaking the numerous concerns of the honoured Merchants first possest my consideration and how far I have accommodated this Composure for his most worthy service let his own profitable experience be judge Secondly For your service most excellent Professors whose understandings soar to the subli●●●y of the Theory and Practice of this noble Science was this Arithmetical Tractate compos'd which you may please to employ as a monitor to instruct your young Tyroes and thereby take occasion to reserve your precious moments which might be exhausted that way for your more important affairs Thirdly For you the ingenious Off-spring of happy Parents who will willingly pay the full price of Industry and Exercise for those Arts and choice accomplishments which may contribute to the felicity of your future state For you I say ingenious Practitioners was this Work composed which may prove the pleasure of your youth and the glory of your age Lastly for you the pretended Numerists of this vapouring age who are more disingenuously witty to propound unnecessary questions than ingeniously judicious to resolve such as are necessary For you was this Book composed and published if you will deny your selves so much as to invert the streams of your ingenuity and by studiously conferring with the Notes Names Orders Progress Species Properties Proprieties Proportions Powers Affections and Applications of Numbers ●elivered herein become such Artists indeed as you now only seem to be This Arithmetick ingeniously observed and diligently practised will turn to good account to all that shall be concerned in Accompts All whose Rules are grounded on Verity and deliver'd with Sincerity The examples are built up gradually from the smallest consideration to the greatest All the Problemes or Propositions are well weigh'd pertinent and clear and not one of them throughout the Tract taken upon trust therefore now Zoilus and Momus lye you down and dye For these inventions your whole force defy Edward Cocker Courteous Reader Being well acquainted with the deceased Author and finding him knowing and studious in the Misteries of Numbers and Algebra of which he had some choice Manuscripts and a great Collection of Printed Authors in several Languages I doubt not but he hath writ his Arithmetick suitable to his own Preface and worthy acceptation which I thought to certifie on a request to that purpose made to him that wisheth thy welfare and the progress of Arts. John Collens Novemb. 27th 1677. This Manual of Arithmetick is recommended to the World by us whose names are subscribed viz. Mr. Iohn Collens Math. Mr. Iames Atkinson Math. Mr. Peter Perkins Math. Mr. Rich. Noble of Guilford Mr. Rich. Laurence Senior Mr. Eleazar Wigan Mr. Benj. Williams Mr. Luke Talbot Mr. William Norgate Mr. William Mason M. Steph. Thomas Mr. Peter Storey Mr. Benj. Tichbourne Mr. Ioseph Symmonds Mr. Ierem. Milles Mr. Iosiah Cuffley Mr. Iohn Hawkins A Table of the Contents of this BOOK   Chap. Pag. NOtation of Numbers 1 1 Of the natural division of Integers and the denomination of their parts 2 18 Of the species or kinds of Arithmetick 3 31 Of Addition of whole Numbers 4 33 Of Substraction of whole Numbers 5 46 Of Multiplication of whole Numbers 6 60 Of Division