Cocker's decimal arithmetick wherein is shewed the nature and use of decimal fractions ... together with tables of interest and rebate ... : whereunto is added, his Artificial arithmetick, shewing the genesis ... of the logarithmes ... : also, his Algebraical arithmetick, containing the doctrine of composing and resolving an equation, with all other rules requisite for the understanding of that mysterious art according to the method used by Mr. John Kerley in his incomparable treatise of algebra / composed by Edward Cocker ... ; perused, corrected, and published by John Hawkins ...

Title

Cocker's decimal arithmetick wherein is shewed the nature and use of decimal fractions ... together with tables of interest and rebate ... : whereunto is added, his Artificial arithmetick, shewing the genesis ... of the logarithmes ... : also, his Algebraical arithmetick, containing the doctrine of composing and resolving an equation, with all other rules requisite for the understanding of that mysterious art according to the method used by Mr. John Kerley in his incomparable treatise of algebra / composed by Edward Cocker ... ; perused, corrected, and published by John Hawkins ...

Author

Cocker, Edward, 1631-1675.

Publication

London :: Printed by J. Richardson for Tho. Passinger ... and Tho. Lacy ...,

1685.

Rights/Permissions

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Subject terms

Arithmetic -- Early works to 1800.

Link to this Item

https://name.umdl.umich.edu/A33564.0001.001 content_copy

Cite this Item

"Cocker's decimal arithmetick wherein is shewed the nature and use of decimal fractions ... together with tables of interest and rebate ... : whereunto is added, his Artificial arithmetick, shewing the genesis ... of the logarithmes ... : also, his Algebraical arithmetick, containing the doctrine of composing and resolving an equation, with all other rules requisite for the understanding of that mysterious art according to the method used by Mr. John Kerley in his incomparable treatise of algebra / composed by Edward Cocker ... ; perused, corrected, and published by John Hawkins ..." In the digital collection Early English Books Online. https://name.umdl.umich.edu/A33564.0001.001. University of Michigan Library Digital Collections. Accessed May 13, 2025. content_copy

Contents

• title page
• dedication
• TO THE READER.
• Anixo guo Anamfiggino Jorammi Lehkeg Lòfoxrofè∣holrii Trpiemgig Im Xonifafu Disohèmiemgi Puwi∣nasigfèho.
• The Advice of a Friend of the Authors to such as are desirous to attain to the perfection of this most useful ART, &c.
• In Commendation of his Friend Mr. IOHN HAWKINS, upon the Publication of this Treatise.
• To the Ingenious Author of these Decimals, and Algebra, the Famous Arithmetician; and his Singular good Friend by choice, EDWARD COCKER.
• In memory of the deceased Author, Mr. EDWARD COCKER: And in praise of this (Posthumal) and His Former Works.
• Ad amicum suum dilectissimum dominum Joannem Hawkins de opere hoc mirâ cum eruditione, tum industriâ Correcto & Reviso.
• table of contents
• ADVERTISEMENTS.
• NOTATION OF DECIMALS.
• CHAP. II. Reduction of Decimals.
  • To Reduce a given Vulgar Fra∣ction to a Decimal, that shall be equivalent thereto.
  • To Reduce the known parts of Money, Weight, Measure, Time, &c. to Decimal Fractions.
  • To find the value of a Decimal Fracti∣on, in the known parts of Money, Weight, Measure, &c.
• CHAP. III. Addition of Decimals.
• CHAP. IV. Subtraction of Decimal Fractions.
• CHAP. V. Multiplication of Decimal Fractions.
• CHAP. VI. Division of Decimal Fractions.
• CHAP. VII. The Rule of 3 in Decimals.
• CHAP. VIII. The further use of Decimals in the Mensuration of Superfi∣cies and Solids.
  • PROP. I. To Measure a long Square.
  • PROP. II. To find the Content of a right angled Triangle.
  • PROP. III. To find the Content of any plain Triangle, not Rectangular.
  • PROP. IV. To find the Content of a Trape∣zium.
  • PROP. V. To find the Content of any regular Polygon.
  • PROP. VI. To find the Content of any Irregu∣lar Polygon.
  • PROP. VII. To find the circumference of a Circle hav∣ing the Diameter given.
  • PROP. VIII. To find the content of a Circle having the Diameter given.
  • PROP. IX. To find the folid content of a square piece of Timber, Stone, &c. whose bases are equal, that is, whose ends are of the same bigness.
  • PROP. X. To find the solid content of a Cylinder, hav∣ing the Diameter of its Base given.
  • PROP. XI. To find the Solid Content of a Cone.
  • PROP. XII. To find the solid Content of a Pyramid.
  • PROP. XIII. To measure the Frustum of a Py∣ramid or Cone.
• CHAP. IX. The Extraction of the Square Root.
• CHAP. X. The Extraction of the Cube Root.
• CHAP. XI. The Use of the Square and Cube Roots in solving some Questions Arithmetical and Geometrical.
  • PROP. I. To find a mean proportional be∣tween two given Numbers.
  • PROP. II. To find the side of a Square that shall be equal to the Content of any given superficies.
  • PROP. III. Having any two of the sides of a Right-angled plain Triangle, given to find the third side.
  • PROP. IV.
  • PROP. V. By the Content of a Circle to find its Diameter.
  • PROP. VI. By the Content of a Circle to find its Circumference.
  • PROP. VII.
  • PROP. VIII.
  • PROP. IX.
  • PROP. X.
  • PROP. XI.
  • PROP. XII.
  • PROP. XIII.
  • PROP. XIV.
• CHAP. XII. Concerning Simple Interest.
  • The use of the preceding TABLE.
  • The Construction of Table II.
  • The Use of Table II.
  • The Use of the foregoing Table. III.
• CHAP. XIII. Of Compound Interest.
  • The Construction of the foregoing TABLE I.
  • The use of the foregoing TABLE.
  • The Construction of the fore∣going TABLE.
  • The Use of the foregoing TABLE II.
  • The manner of Calculating the following Third TABLE.
  • The Use of the third TABLE.
  • The construction of the follow∣ing TABLE IV.
  • The Use of the foregoing TABLE.
  • The Construction of the follow∣ing TABLE V.
  • The Use of the foregoing Table V.
  • Arithmetical Questions to exercise the Learner in the Precedent Tables.
  • How to find out Tabular Numbers for years excee∣ding 30.
• title page
• The meaning of such Characters as are used in the Ensuing Treatise.
• THE SECOND BOOK OF ARTIFICIAL ARITHMETICK.
• CHAP. II. Of the nature of Loga∣rithmes.
• CHAP. III. Of the Genesis or Fabrick of the Logarithmes.
• CHAP. IV. Of the Use of the Table of Lo∣garithmes.
• CHAP. V. Division by the Logarithmes.
• CHAP. VI. To raise the Powers of Num∣bers, viz. to find the Square, Cube, Biquadrate, or Squa∣red Square, &c. of any Num∣ber. Also to Extract the Square, Cube, Biquadrate, &c. Roots of any Number by the Logarithmes.
  • The Use of the foregoing Table.
• CHAP. VII. Of the Use of Log. in Com∣parative Arithmetick.
  • PROP. I. Having three Numbers given, to find a fourth proportional.
  • PROP. II. Between two Numbers given to find a mean proportional.
  • PROP. III. Between 2 Numbers given, to find two mean Proportionals.
  • PROP. IV. Three Numbers given to find a fourth in a Du∣plicate Proportion.
  • PROP. V. Having 3 Numbers given to find a fourth in a Triplicate Proportion.
• CHAP. VIII. Of Anatocisme, or Compound Interest, wherein is shewed how by the Logarithmes to answer all Questions concer∣ning the Increase, or present worth of any Sum of Mo∣ney or Annuity, for any Term of Years, or at any Rate of Interest. According to the six Fundamental The∣orems invented and laid down by Mr. Oughtred in his Treatise De Anatocismo si∣ve Usura Composita, annexed to his Clavis Mathematicae.
  • CASE I.
  • CASE 2. To find the present worth of any sum of money due at the end of any number of years to come, Rebate being allowed at any Rate of Compound Interest.
  • CASE 3. To find the Increase, or Amount of an Annuity, be∣ing forborne any number of years, at any Rate of Compound Interest.
  • CASE 4. To find what Annuity any sum due at any time to come will purchase to continue for any Time, and at any Rate of Interest proposed.
  • CASE 5. To find the present worth of an Annuity to continue any Term of years, howsoever payable, viz. either yearly, half, yearly or Quarterly, Rebate being al∣lowed at any rate per Cent.
  • CASE 6. To find out what Annuity to continue any term of years any given sum of Money will purchase at any Rate of Compound Interest.
• title page
• ALGEBRAICAL DEFINITIONS
• CHAP. II. Addition of Algebraical Inte∣gers.
• CHAP. III. Subtraction of Algebraick In∣tegers.
• CHAP. IV. Multiplication in Algebraick In∣tegers.
• CHAP. V. Division in Algebraick Integers.
• CHAP. VI. The Doctrine of Algebraical Fractions. And First, Of Reduction.
• CHAP. VII. Of Addition and Subtraction of Algebraical Fractions.
• CHAP. VIII. Multiplication and Division of Algebraical Fractions.
• CHAP. IX. The Rule of Three in Algebra∣ick Quantities.
• CHAP. X. A Collection of some easy Que∣stions wherein the Rules hi∣therto delivered are Exercised, taken out of Mr. Oughtred's Clavis Mathematicae, Chap. 11. Sir Ionas Moors Arithmetick in Species, Chap. 10, and Mr. Kersy's Elements of Alge∣bra, Cap. 10. of the First Book.
• CHAP. XI. Reduction of Equations.
• CHAP. XII. To Convert Analogies into Equations, and Equations into Analogies.
• CHAP. XIII. The Resolution of Arithmeti∣cal Questions (Algebraically) which produce Simple Equa∣tions
• CHAP. XIV. How to Extract the Root of a Square formed from a Bi∣nomial, and how by having any two of the Members of such a Square given to find out the third.
• CHAP. XV. Concerning the Resolution of Questions producing Qua∣dratick Equations.
• CHAP. XVI. The Doctrine of Surd Quanti∣ties.
• CHAP. XVII. The Parts of Numeration in Compound Surd Quantities.
• CHAP. XVII. The parts of Numeration in Universal Surd Roots.
• CHAP. XVIII. Algebraical Questions Resolved by various Positions.