Institutio mathematica, or, A mathematical institution shewing the construction and use of the naturall and artificiall sines, tangents, and secants in decimal numbers, and also of the table of logarithms in the general solution of any triangle, whether plain or spherical, with their more particular application in astronomie, dialling, and navigation / by John Newton.

Title

Institutio mathematica, or, A mathematical institution shewing the construction and use of the naturall and artificiall sines, tangents, and secants in decimal numbers, and also of the table of logarithms in the general solution of any triangle, whether plain or spherical, with their more particular application in astronomie, dialling, and navigation / by John Newton.

Author

Newton, John, 1622-1678.

Publication

London :: Printed by R. & W. Leybourn, for George Hurlock ... and Robert Boydel ...,

1654.

Rights/Permissions

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Subject terms

Geometry -- Early works to 1800.

Trigonometry -- Early works to 1800.

Logarithms.

Mathematics -- Problems, exercises, etc.

Link to this Item

https://name.umdl.umich.edu/A52264.0001.001 content_copy

Cite this Item

"Institutio mathematica, or, A mathematical institution shewing the construction and use of the naturall and artificiall sines, tangents, and secants in decimal numbers, and also of the table of logarithms in the general solution of any triangle, whether plain or spherical, with their more particular application in astronomie, dialling, and navigation / by John Newton." In the digital collection Early English Books Online. https://name.umdl.umich.edu/A52264.0001.001. University of Michigan Library Digital Collections. Accessed May 20, 2025. content_copy

Contents

• title page
• TO THE COVRTEOVS Reader.
• ERRATA.
• A MATHEMATICAL Institution.
  • CHAP. I.
  • CHAP. II.
  • Chap. III
  • CHAP. IV.
    • Theorem 1.
    • Theor. 2.
    • Theor. 3.
  • CHAP. V.
  • CHAP. VI.
    • I. Of plain right angled Triangles.
      • CASE 1.
      • CASE 2.
      • CASE 3.
      • CASE 4.
      • CASE 5.
      • CASE 6.
      • CASE 7.
    • II. Of plain oblique angled Triangles.
  • CHAP. VII.
  • CHAP. VIII.
  • CHAP. IX.
    • CASE 1.
    • CASE 2.
    • CASE 3.
    • CASE 4.
    • CASE 5.
    • CASE 6.
    • CASE 7.
    • CASE 8.
    • CASE 9.
    • CASE 10.
    • CASE 11.
    • CASE 12.
• title page
• A Mathematicall Institution:
  • CHAP. I.
    • Problem 1.
      • tables
      • A Catalogue of some of the most eminent Cities and Towns in En∣gland, Ireland, and other Countreys, wherein is shewed the difference of their Merdians from London, with the height of the Pole Artique.
    • Probl. 2.
    • Probl. 3.
    • Probl. 4.
    • Probl. 5.
    • Probl. 6.
    • Probl. 7.
    • Probl. 8.
    • Probl. 9.
    • Probl. 10.
  • CHAP. II.
    • Problem 1.
    • Probl. 2.
    • Probl. 3.
      • To finde the Inclination or Reclination of any plain.
      • To finde the declination of a plain.
      • To finde a Meridian line upon an Horizontal plain.
    • Probl. 4.
    • Probl. 5.
      • The Geometricall projection.
    • Probl. 6.
      • The Geometricall projection.
    • Probl. 7.
      • The Geometricall Projection.
      • APPENDIX.
        • The Geometricall projection.
    • Probl. 8.
      • The Geometrical Projection.
    • Probl. 9.
      • Of the Equinoctiall plane.
        • The Geometricall Projection.
      • 2. Of South reclining lesse then the pole.
      • 3. Of South reclining more then the pole.
        • The Geometricall Projection.
    • Probl. 10.
      • Of the Polar plain.
      • 2. Of North reclining less then the Equator.
      • 3. Of North reclining more then the Equator.
        • The Geometricall Projection.
    • Probl. 11.
      • 1. Of the Equinoctiall declining and reclining plane.
      • 2. To draw the houre lines upon a South re∣clining plain, declining East or West, which passeth between the Zenith and the Pole.
      • 3. To draw the houre lines upon a South reclining plain, declining East or west, which passeth between the Pole and the Horizon.
    • Probl. 12.
      • 1. Of the Polar declining reclining plane.
      • 2. To draw the hou lines upon a North re∣clining plane, declining East or West, which cutteth the meridian between the Zenith and the Equinoctial.
      • 3 To draw the houre lines upon a North reclining plane, declining East or West, which cutteth the Meridian between the Equator and Horizon.
      • The Geometrical Projection.
  • CHAP. III.
    • Probl. 1.
    • Probl. 2.
    • Probl. 3.
    • Probl. 4.
    • Probl. 5.
    • Probl. 6.
    • Probl. 7.
    • Probl. 8.
    • tables
    • Rules for finding of the Poles elevation by the meridian altitude of the Sun or stars, and by the Table of their Decli∣nations aforegoing.
      • Case 1.
      • Case. 2.
      • Case 3.
      • Case 4.
      • Case 5.
      • Case 6.
      • Case 7.