The description and use of two arithmetick instruments together with a short treatise, explaining and demonstrating the ordinary operations of arithmetick, as likewise a perpetual almanack and several useful tables : presented to His most excellent Majesty Charles II ... / by S. Morland.

Title

The description and use of two arithmetick instruments together with a short treatise, explaining and demonstrating the ordinary operations of arithmetick, as likewise a perpetual almanack and several useful tables : presented to His most excellent Majesty Charles II ... / by S. Morland.

Author

Morland, Samuel, Sir, 1625-1695.

Publication

London :: Printed and are to be sold by Moses Pitt ...,

1673.

Rights/Permissions

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Subject terms

Arithmetic -- Early works to 1800.

Calculators.

Almanacs, English.

Link to this Item

https://name.umdl.umich.edu/A51382.0001.001 content_copy

Cite this Item

"The description and use of two arithmetick instruments together with a short treatise, explaining and demonstrating the ordinary operations of arithmetick, as likewise a perpetual almanack and several useful tables : presented to His most excellent Majesty Charles II ... / by S. Morland." In the digital collection Early English Books Online. https://name.umdl.umich.edu/A51382.0001.001. University of Michigan Library Digital Collections. Accessed May 29, 2024. content_copy

Contents

• title page
• frontispiece
• title page
• A
  • The Operation of Addition.

  • D

• F

• A

• A CAUTION To all who desire to make Use of either of these INSTRUMENTS.
• A Short DISCOURSE Concerning the ANTIENT, & COMMON WAY OF NUMBRING.
• CHAP. 1. The Precept for ADDITION of Integers in Plain Numbers.
• CHAP. II. The Precept for SUBTRACTION of In∣tegers in Plain Numbers.
• CHAP III. The Precept for MLTIPLICATION of Integers in Plain Numbers.
• CHAP: IV. The Precept for DIVISION in Plain Numbers.
• CHAP V. Notation of FRACTIONS.
• CHAP. VI. The Reason of Translating Fractions from one Denomination to another, as likewise of reducing them to their least Tearms, and the truth of the Operations demonstrated from several Propositions of Euclids Ele∣ments.
  • Eucl. l. 7. Theor. 16. Prop. 18. , &c.
  • Eucl. l. 7. Defin. XI. , &c.
  • Defin: XII. , &c.
  • Defin. XIII. , &c.
  • Defin. XIV. , &c.
  • Probl. 1. Prop. 2. , &c.
  • Probl. III. Prop. 35. , &c,
• CHAP. VII. Addition of FRACTIONS.
• CHAP. VIII. Subtraction of FRACTIONS.
• CHAP. IX. Multiplication of FRACTIONS.
• CHAP. X. Division of FRACTIONS.
• CHAP XI. Of Decimal FRACTIONS.
• CHAP. XII. Of Addition and Substraction of Decimals.
• CHAP. XIII. Multiplication of Decimals.
• CHAP. XIV. Division of Decimal FRACTIONS.
• CHAP. XV. The Vulgar Precept for extracting the Square Root or side of any Plain Number.
• CHAP. XVI. The Reason and Demonstration of the Vulgar Operation of Extracting the Square-Root.
  • Eucl. l. 7. Defin. XVIII. , &c.
  • Eucl. l. 2. Theor. 4. Prop. 4. , &c.
• CHAP XVII. The way and Reason of extracting the Square-Root of FRACTIONS.
• CHAP. XVIII. The Vulgar method of Extracting the Cube-Root.
• CHAP. XIX. The Reason and Demonstration of Extract∣ing the Cube-Root.
  • Eucl. l. 7. Defin. XIX , , &c.
  • P. RAMI Geometr. Lib. XXIIII, De Cubo pag. 135.
• CHAP. XX. A plain and easie Method of extracting the Square-Root of any Number, (how great soever) without the help of either Mul∣tiplication, or Division.
• CHAP. XXI. Of Proportions Arithmetical, Geometrical, and Musical.
  • I. Reflection. . Prop. Tertia.
  • I. Reflection
  • II. Reflection.
  • II. Reflection. Eucl. Lib. 7. Prop. 20.
  • III. Reflection.
  • III. Reflection. Eucl. Lib. 7. Prop. 19.
  • IV. Reflection.
  • IV. Reflection.
  • The foregoing Reflections applyed to the Golden Rule, or Rule of Three.
  • The Diameter of any Circle being given in Integers, to find the Peripherie, and the Square-Root of the Area, in infinitum, without the help of either Multiplication, Division, or Extraction of the Root.
• part
  • A Perpetuall Almanack invented by S. Morland 1650.
  • AN EXPLANATION OF THE Perpetual Almanack.
    • The use of the Table in Page 6.
    • The use of the Table in page 7.
    • The Use of the Table in Page 8.
    • Two excellent Uses of the Ta∣ble, in Page 8.
    • The Ʋse of this Table.
    • A Table shewing: the time of the Moons com∣ing to the South, and quantity of her shining.
    • A Tide-Table of certain Havens in and about Eng∣land, whereby may be known what Moon makes a Full-Sea in any of the said places; and how many ho. and min. are to be added to the time of the Moons coming to the South for the time of High-water.
    • The Use of the Tide-Table.
    • The time of the Suns Rising and Setting throughout the whole Year.
    • A Table shewing the length of the longest Artificial Day, in all places from the Equinoctial, to the Poles of the World.
    • A Table shewing the beginning of every Kings Reign, from the Conquest; Together with the year of Christ, answering to every year of each King or Queens Reign, from Henry 8. to Charles 2. inclusive. The year beginning on the 25th of March.
    • Advice touching the POSTS, and ROADS, more exactly than hath hitherto been published.
    • POST STAGES.
    • Forreign Weights and Measures, carefully compared with the English, by the great pains and industry of the famous, and my worthy Friend, Sir Jonas Moor, Knight.