The grounde of artes teaching the perfect vvorke and practise of arithmetike, both in whole nu[m]bers and fractions, after a more easie ane exact sort, than hitherto hath bene set forth. Made by M. Robert Recorde, D. in Physick, and afterwards augmented by M. Iohn Dee. And now lately diligently corrected, [and] beautified with some new rules and necessarie additions: and further endowed with a thirde part, of rules of practize, abridged into a briefer methode than hitherto hath bene published: with diverse such necessary rules, as are incident to the trade of merchandize. Whereunto are also added diuers tables [and] instructions ... By Iohn Mellis of Southwark, scholemaster.

Here folovveth a Table of al the Contents of this Booke.

The Contents of the firste Dialogue containeth the Declaration of the profite of Arithmetike.

• Numeration with an easie & large Table.
  • Addition.
  • Subtraction.
  • Multiplicatiō.
  • Diuision.
  with diuers Exāples, and all their proofs, and some newe formes of workings, &c.
• Reduction, with diuers declarations of Coines Waights and Measures of sundrie formes newly added, with a newe Table, containing most part of the golde Coines throughout Christendome, with the true waight and valuation of them in currant money English, &c.
• Progression both Arithmeticall and Geome∣tricall, with diuers sundrie questions tou∣ching the same.
• The Golden Rule of thrée: and the Backer Rule of thrée: with diuers questions there∣vnto belonging, newly added & augmēted.
• The double Rule of Proportion.
• The Rule of thrée composed of 5 numbers.
• The Rule of Felowship, both with time, and without time.
• Vnto all these are added their proofes.

The second Dialogue containeth

• The first 5 kindes of Arithmetike wroughte by Counters.
• The common kindes of casting of accomptes after the Merchants fashiō, & Auditors also.
• Numbring by the hande newly added.

The Contents of the second parte, touching Fractions.

• What a Fraction is.
• Numeration in Fractiōs.
• The order of working fra¦ctions. with diuers fami∣liar questiōs pro∣poned for y^e perfit vnderstanding, & proof of ech of thē.
• Multiplication.
• Diuision.
• Reduction of diuers fractions into one de∣nomination in 3 varieties.
  • Fractions of Fractions.
  • Improper Fractions.
  • Fractions to the smallest de∣nomination, with easie rules how to conuert thē thervnto.
  • Fractions in other partes of things, with a Table demō∣stratiue of their proportiōs.
  • Fraction, and how it may bée turned into any other Fracti∣on, or into what Denomina∣tion you liste.
• ...

• Againe of
  • Multiplication
  • Duplation
  • Diuision
  • Mediation
  • Addition
  • Subtraction.
• The Golden Rule with diuers questions, and their proofes.
• The Backer Rule.
• A question of Loane.
• The statute of Assise of Breade and Ale recog∣nised and applied to this time, with newe tables therevnto annexed.
• The Statute of Measuring of ground, with a table thereof faithfully calculated and cor∣rected.
• Questions of Societie, with the reason of the Rules and proofes of their workes.
• To finde thrée numbers in any proportion.
• The Rule of Alligation, with diuers questi∣ons and the proofes of their workes, with many varieties of such solutions.
• The rule of Falshode, or false Position, with diuers questions, and their proofes.

The Contents of the third Addition to this Booke.

• The first Chapter entreteth of Rules of Bre∣uity and Practise, after a briefer Methode than euer yet was published in the English tong.
• The second Chapter treateth of y^e briefer Re∣duction of diuers Measures, as Elles, Yeards, Braces, &c. by Rules of Practise.
• The third Chapter entreateth of the Rule of thrée in Broken numbers after the trade of Merchaunts, somthing differing from Ma∣ster Records order, which is comprehended in 3 Rules.
• The fourth Chapiter entreateth of Losse and Gaine in the trade of Merchandize.
• The fifth Chapter entreateth of Losse & Gain in the trade of Merchandize vppon time, &c. with necessarie questions therein wrought by the double Rule of thrée, or the Rule of 3 composed.
• The sixth Chapter entreateth of Rules of pay∣ment, and of the necessariest Rules that ap∣pertaineth to buying and selling, &c.
• The seauenth Chapter entreateth of Buying

• and Selling in the Trade of Merchandize, wherein is taken part ready mony, and di∣uers dayes of payments giuen for the rest, and what is won or loste in the 100 lb for∣bearance for 12 moneths, &c.
• The eight Chapter entreateth of Tares and alowances in the trade of Merchandize sold by waight, and of their Losses and Gaines therein, &c.
• The ninth Chapter entreteth of Lengths and Breadths of Arras, and other Clothes, with diuers questions incident therevnto.
• The tenth Chapter entreateth of reducing of Pawnes of Geanes into English yeards.
• The eleauenth Chapter entreateth of Rules of Loane and Interest with diuers questi∣ons incident therevnto.
• The twelfth Chapiter entreateth of the ma∣king of Factors.
• The thirtéenth Chapiter entreateth of Rules of Barter or Exchange of Merchandize, wherein is taken parte ware, & part readie money with their proofes, and diuers other necessarie questions therevnto belonging.
• The fourtéenth Chapter entreateth of exchan∣ging of mony from one place to an other, with diuers necessarie questions incident

• therevnto.
• The fiftéeeth Chapter entreateth of sixe sun∣drie formes of practise for the Reduction of English, Flemish, and French money, and howe eche of them may easily be broughte to others money sterling.
• The sixteenth Chapter containeth a brief note of the ordinarie Coines of moste places of Christendome for traffique, and the man∣ner of their exchaunging from one Citie or towne to an other, which knowen the Ita∣lians call Pary: whereby they finde the gaine or losse vpon the Exchange.
• The seauentéenth Chapiter containeth also a Declaration of y^e diuersitie of the waights and measures of moste places of Christen∣dome for traffique, at the ende wherof are two Tables, the one for waight, and the o∣ther for measure, proportionated to an e∣qualitie vnto our Englishe measure and waight, wherby the ingenious practitioner may easily reduce the waight and measure of eche Countrey into other.
• The eightéenth Chapiter entreateth of diuers Sportes and Pastimes, done by Number.

FINIS.