Arithmetic, Title page – Publishers advertisement
Arithmetick:
VULGAR,
DECIMAL,
INSTRUMENTAL,
ALGEBRAICAL.
In Four Parts: Conteining
I Vulgar Arithmetick, Both in whole Numbers and Fractions, in a moſt plain and eaſie method.
II Decimal Arithmetick, With the ground and reaſon thereof, illuſtrated by divers Examples.
III Inſtrumental Arithmetick, Exactly performing all Queſtions of what nature ſoever in a Decimal way, by Scales, with much more eaſe and facility then can be effected, either by Vulgar or Decimal Arithmetick, the work of Reduction being wholly avoided. Nothing in this kind having been hitherto publiſhed by any.
IV Algebraical Arithmetick, Conteining an Abridgement of the precepts of that Art, and the uſe thereof, illuſtrated by Examples and Queſtions of divers kinds.
Whereunto is added the conſtruction and uſe of ſeveral Tables of Intereſt and Annuities, Weights and Meaſures, both of our own and other Countries.
By WILLIAM LEYBOURN.
LONDON, Printed by R. and W. Leybourn, and are to be ſold by George Sawbridge at the Bible on Ludgate-hill, 1660.
Vera Effigies Gulielmi Leybourn, Philom.
TO THE READER.
HEre is preſented unto thee a ſhort Treatiſe of Arithmetick, I confeſſe there are enough, (if not too many) already extant, notwithſtanding I have adventured to publiſh this, more for variety than neceſſity, not doubting but in the peruſal thereof thou ſhalt find ſomething in this worth thy labour, and what in other Books of this kind is wanting.
The whole Treatiſe is divided into four Parts. The firſt conteins Vulgar Arithmetick in Whole Numbers and Fractions; And in every Rule there are Examples for practice added, and Queſtions alſo wrought by thoſe ſingle Rules. And in Diviſion, (which is the moſt difficult of the four Species,) there are five varieties, ſo that every man may make uſe of that which he beſt underſtands or fancies: And in the working of the Golden Rule, &c. I have made uſe ſometimes of one kind of Diviſion, and ſometimes of another.
The Second Part conteins Decimal Arithmetick, with the ground and reaſon thereof, Alſo Tables of the Moneys, Weights, and Meaſures uſed in England, with directions for the making of thoſe Tables, and of any other. And laſtly, there are Examples wrought in Decimal Numbers, in all the moſt uſual Rules of Arithmetick, and thoſe Examples are incumbred with as many Fractions as can poſſibly happen in any Queſtion concerning buying or ſelling.
The third Part is of Inſtrumental Arithmetick, which performeth any Queſtion Arithmetical in a Decimal way, without the help of Tables, by which the whole work of Reduction is avoided, there being certain Scales of Engliſh Money, Weights, and Meaſures, by me contrived, by which (by inſpection onelyonly) the Decimal Faction of either Money, Weight, or Meaſure, may be ſet down as exactly, and in leſſe time, than they could have been taken out of the Decimal Tables in the Second Part of this Treatiſe. I have alſo in this Third Part, (the better to illuſtrate the uſe, and commodiouſneſſe of theſe Scales, a figure whereof is inſerted between page 246 and 247,) gone through all the moſt uſual Rules of Arithmetick, giving Examples in each Rule, by which the Reader may plainly perceive what labour there is ſaved by uſing the Scales, the whole work of Reduction being taken away, and the Fraction immediately ſet down at firſt, without Addition, or being already ſet down, reduced to the known part of the Integer, without Subtraction.
Ʋnto this third part there is added an Appendix conteining certain Rules of Exchanges, with Tables of the Weights and Meaſures of forreign Countries compared with the Weights and Meaſures uſed in London, with an Example to illuſtrate the uſe of each Table; And laſtly, there are five Tables calculated at 6 per Cent. Compound Intereſt, by which the true valuation of any Leaſe or Annuity, or Money forborn or rebated, may be eaſily known, with an Example ſhewing the uſe of each Table.
The Fourth Part conteineth an Abridgement of the Precepts of Algebra, first written in French by James de Billy, a Tranſlation whereof came to my hands ſome years ſince, in the perunſal whereof, finding the Precepts very plain and eaſie, and conſidering that we have but very little of this kind of Arithmetick in our Engliſh Tongue, I have adventured to inſert it here as a Fourth Part, thereby to make this Work the more compleat: Ʋnto which Tranſlation there is further added diverſe Queſtions of good conſequence, which were not in the Originall, as by comparing them togeth… may appear.
This Treatiſe thus finiſhed, I preſent thee with, deſiring thy friendly acceptance, and pardon for ſuch faults as may poſſibly have eſcaped the Preſſe, or my ſelf, and in ſo doing thou wilt encourage him, who is
A friend to all that are Mathematically affected, William Leybonrn.
There is now in the Preſſe, and ready to come forth, Euclides Elements of Geometry, all the 15 books in a moſt compendious form contracted and demonſtrated, together with ſome other pieces never before printed in Engliſh, all publiſhed by the care and induſtry of my loving friend Mr. John Leeke, Reader of Mathematicks in London.