Iohnsons Arithmatick in 2. bookes the first, of vulgare arithma: with diuers briefe and easye rules: to worke all the first 4. partes of arithmatick in whole numbers and fractions by the author newly invented the second, of decimall arithmatick wherby all fractionall operations are wrought, in whole numbers, in marchants accomptes without reduction; with interest, and annuityes by Iohn Iohnson survaighour; practitioner in the mattiematiqu

Title

Iohnsons Arithmatick in 2. bookes the first, of vulgare arithma: with diuers briefe and easye rules: to worke all the first 4. partes of arithmatick in whole numbers and fractions by the author newly invented the second, of decimall arithmatick wherby all fractionall operations are wrought, in whole numbers, in marchants accomptes without reduction; with interest, and annuityes by Iohn Iohnson survaighour; practitioner in the mattiematiqu

Author

Johnson, John, fl. 1602-1657.

Publication

Printed at london :: by Augustine Mathewes· and are to be sold at his hous in Stie. Brides Lane neere Fleetstre[t],

1623.

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Subject terms

Arithmetic -- Early works to 1900.

Link to this Item

https://name.umdl.umich.edu/A04547.0001.001 content_copy

Cite this Item

"Iohnsons Arithmatick in 2. bookes the first, of vulgare arithma: with diuers briefe and easye rules: to worke all the first 4. partes of arithmatick in whole numbers and fractions by the author newly invented the second, of decimall arithmatick wherby all fractionall operations are wrought, in whole numbers, in marchants accomptes without reduction; with interest, and annuityes by Iohn Iohnson survaighour; practitioner in the mattiematiqu." In the digital collection Early English Books Online. https://name.umdl.umich.edu/A04547.0001.001. University of Michigan Library Digital Collections. Accessed May 5, 2024. content_copy

Contents

• engraved title page
• TO THE RIGHT HONOVRABLE SIR EDWARD BARKSHAM, KNIGHT, Lord Maior of the City of Lon∣don; and to the right Worship∣full, the Shriefes and Al∣dermen his Bre∣thren.
• THE EPISTLE TO THE READER.
• table of contents
  • A Table of the Contents of the first Booke.
    • part - 1
    • The Table of the second part of the first Booke.
  • The Table of the second Booke of De∣cimall Arithmatick.
• IOHNSONS ARITHME∣TICK.
  • CAHP. I. Numeration.
    • How to expresse the value of a num∣ber giuen.
  • CHAP. II. Addition.
    • The explanation of these examples.
    • The Explanation.
    • The explanation of these Tables, and the ex∣amples following.
    • The Proofe of Addition.
    • The second proofe of Addition.
    • Questions of Addition.
  • CHAP. III. Subtraction.
    • The explanation of these examples.
    • The exposition of the second example.
    • To subtract from a Vnite.
    • The proofe of Subtraction.
  • Multiplication. CHAP. IIII.
    • The exposition of this example.
    • The explanation of the worke by the pen, without charging the me∣morie.
    • How to multiply, and to bring the pro∣duct in the last line.
  • CHAP. V. Diuision.
    • The third Example of Diuision.
    • The third Worke.
    • How to diuide by a Ʋnite with Cyphers.
    • Briefe Rules by Multiplication and Diuision.
    • To multiply any number by 9.
• part - 2
  • THE RVLE OF REDVCTION.
    • Reduction of Coyne.
    • How to bring pounds, shillings, and pence at: he first worke by Di∣uision.
    • How to bring farthings into pounds, shillings, and pence at the first worke.
    • How to bring pence into pounds, shillings, and pence another way.
    • Reduction of Waights.
    • Reduction of Measures.
    • Reduction of Time.
    • Reduction of Motion.
    • Questions by Reduction.
      • 1. Question.
      • 2. Question.
      • 3. Question.
      • 4. Question.
      • 5. Questions.
      • 6. Question.
      • 7 Question.
      • 8. Question.
      • 9. Question.
  • VVhat Progression Arith∣maticall is, and the Rule.
    • 2. To find the summe of a Progression.
    • First Question.
    • How to find the latter terme of a Progression.
    • Second Question.
    • To find the number of termes.
    • How to find the Excesse, or diffe∣rence.
    • To find any middle terme.
    • How to find what number shall begin and finish a Progression.
  • What Geometricall Progression is, and the Rule.
    • To find any middle Terme, or any other Terme in a Geometricall Progression.
    • The Extreames and Excesse of a Progression giuen to find the summe.
  • Fractions.
    • section
      • How to reduce Fractions of Fractions. First Rule.
      • 2. Rule: How to reduce Fractions of Integers.
    • How to proue a Fraction by the knowne parts of Coyne.
      • 3. Rule. Addition in Fractions.
    • The proofe of Addition by parts of Coyne.
      • Rule 4. Subtraction in fractions.
    • The proofe of Subtraction by the parts of Coyne.
      • Rule 5. Multiplication in Fractions.
    • The proofe of Multiplication by the parts of Coyne.
      • 6. Rule. Diuision in Fractions.
    • The proofe of Diuision by the parts of Coyne.
      • 7. Rule. How to worke whole numbers with Fractions.
      • 8. Rule. How to worke whole numbers and fractions with fractions.
      • 9. Rule. How to Abreuiate a fraction.
      • 10. Rule. How to find the value of any Fraction.
      • 11. Rule. How to change the Sirname of a Fraction.
      • 12. Rule. Questions of Fractions.
  • Rules of Practice.
    • Rules of Practice by the first Table.
    • Rules of Practice by the second Table.
    • How to prooue one question in the Rules of Practice, by working of a∣nother.
    • Rules of Practice by the third Table, the most excellent of all the other.
    • Rules of Price by the fourth Table.
    • Generall Rules of Practice without Tables.
    • Another way to worke Practice.
  • The Golden Rule.
    • How to worke this last example, and all other, after a more briefe and exact manner.
    • How to know whether any question giuen be to be answered by the Rule Direct, or Conuersed.
    • How to find whither that your numbers giuen be proportionall, or not.
    • The Rule of 3 in Fraction.
    • A generall Rule▪
    • How to worke the double Rule at one operation.
    • Fellowship without Time.
    • Rules of Fellowship, with diuersi∣tie of Time.
  • Position.
    • The Rule of Position requiring one number to bee imagined, before the principall proportion can be found.
    • The solution of this Question another way more briefe.
  • Double Position.
    • The Rule of double Position.
  • Barter or Exchange.
  • Of Gaine and Losse.
    • How to worke Compound interest at any rate per cent.
    • How to gaine any rate in the Hundred you desire.
  • Equation of Payment.
  • Alligation Mediall.
  • Alligation Alternat.
• title page
• THE VSE OF THE Decimall Table.
• text
  • THE SECOND BOOKE, CONTAI∣NING A TREATISE of Decimall Arith∣matick.
    • The declaration of the parts of the De∣cimall Table.
    • To find the value of a Decimall fraction in the parts of Coyne.
    • Numeration in Decimals.
    • How to set out a penny in Decimalls.
    • How to breake a pound into his exact parts.
    • How to expresse the value of any number in Decimals.
    • How to remoue a Decimall number from one place to another.
  • CHAP. II. Addition in Decimals of Coyne.
  • CHAP. III. Subtraction in Decimalls.
  • CHAP. IV. Multiplication in Decimalls.
    • How to change any fraction giuen into Decimalls.
  • CHAP. V. Diuision in Decimalls.
    • How to Diuide the smaller number by the greater.
    • How to find the Prime line in any Diuision deci∣mall, or to find the true denomination of of the Quotient.
    • Reduction in Decimals.
    • Rules of Practice in Decimalls.
    • How to find the price of any vnite in any place of 10, or 100, or 1000, the price of one being giuen.
    • The price of any number of yards, ells, pieces, or pounds giuen to find the price of a vnite.
    • The Golden Rule in Decimalls.
    • The same Question wrought a second way.
    • The same Question wrought another way.
    • Briefe Rules how to abreuiate your worke in the Golden Rule, by marking the proportions be∣betweene the numbers gi∣uen.
    • The same question wrought without Re∣duction in Decimals.
    • Fellowship in Decimals.
    • The same example wrought another way.
    • Position in Decimals.
    • Of Gaine and Losse in Decimals.
    • How to worke gaine and losse in pence, and parts of Pence or Farthsngs.
    • The proofe of the former example in Decimals.
  • Exchange in Decimalls.
    • A generall Rule for exchange in Decimals.
    • Reduction of Measures from one place to another.
    • These I haue taken out of Mastersons Arith∣matick.
  • Of Interest and Annuities.
    • How to frame Tables to worke Interest and Annuities, or Purchases at any rate.
    • How to calculate the Table or Breuiat of 10 pound in the hundred Compound Interest.
    • The Breuiate of 10 pound in the hundred for 40 Yeares.
    • How to calculate a Table or Breuiate at any rate vnder or aboue 10 pound in the hundred, Compound Interest.
    • The Breuiat of 8 pound in the hundred per annum Compound Interest for 30 yeares.
    • The vse of these Breuiates and Tables, and of all o∣thers of like nature in working of questions of Interest and Annusties.
      • Rule 1.
      • Rule 2.
      • 3. Rule.
      • 4 Rule.