Elements of conic sections: with select exercises in various branches of mathematics and philosophy. For the use of the Royal Military Academy at Woolwich. By Charles Hutton, ...

Title

Elements of conic sections: with select exercises in various branches of mathematics and philosophy. For the use of the Royal Military Academy at Woolwich. By Charles Hutton, ...

Author

Hutton, Charles, 1737-1823.

Publication

London :: printed by J. Davis. Sold by G. G. J. and J. Robinson,

1787.

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Link to this Item

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Cite this Item

"Elements of conic sections: with select exercises in various branches of mathematics and philosophy. For the use of the Royal Military Academy at Woolwich. By Charles Hutton, ..." In the digital collection Eighteenth Century Collections Online. https://name.umdl.umich.edu/004831582.0001.000. University of Michigan Library Digital Collections. Accessed May 4, 2024. content_copy

Contents

• half title
• title page
• TO HIS GRACE CHARLES, DUKE OF RICHMOND, LENNOX, AND AUBIGNY, &c. &c. &c. MASTER GENERAL OF THE ORDNANCE.
• PREFACE.
• CONTENTS.
• CONIC SECTIONS.
  • DEFINITIONS.
    • SCHOLIUM.
  • OF THE ELLIPSE.
    • PROPOSITION I.
    • PROPOSITION II.
    • PROPOSITION III.
    • PROPOSITION IV.
    • PROPOSITION V.
    • PROPOSITION VI.
    • PROPOSITION VII.
    • PROPOSITION VIII.
    • PROPOSITION IX.
    • PROPOSITION X.
    • PROPOSITION XI.
    • PROPOSITION XII.
    • PROPOSITION XIII.
    • PROPOSITION XIV.
    • PROPOSITION XV.
    • PROPOSITION XVI.
    • PROPOSITION XVII.
    • PROPOSITION XVIII.
    • PROPOSITION XIX.
    • PROPOSITION XX.
    • PROPOSITION XXI.
    • PROPOSITION XXII.
  • OF THE HYPERBOLA.
    • PROPOSITION I.
    • PROPOSITION II.
    • PROPOSITION III.
    • PROPOSITION IV.
    • PROPOSITION V.
    • PROPOSITION VI.
    • PROPOSITION VII.
    • PROPOSITION VIII.
    • PROPOSITION IX.
    • PROPOSITION X.
    • PROPOSITION XI.
    • PROPOSITION XII.
    • PROPOSITION XIII.
    • PROPOSITION XIV.
    • PROPOSITION XV.
    • PROPOSITION XVI.
    • PROPOSITION XVII.
    • PROPOSITION XVIII.
    • PROPOSITION XIX.
    • PROPOSITION XX.
    • PROPOSITION XXI.
    • PROPOSITION XXII.
    • PROPOSITION XXIII.
    • SCHOLIUM.
    • PROPOSITION XXIV.
    • PROPOSITION XXV.
    • PROPOSITION XXVI.
    • PROPOSITION XXVII.
    • PROPOSITION XXVIII.
    • PROPOSITION XXIX.
    • PROPOSITION XXX.
  • OF THE PARABOLA.
    • PROPOSITION I.
    • PROPOSITION II.
    • PROPOSITION III.
    • PROPOSITION IV.
    • PROPOSITION V.
    • PROPOSITION VI.
    • PROPOSITION VII.
    • PROPOSITION VIII.
    • PROPOSITION IX.
    • PROPOSITION X.
    • PROPOSITION XI.
    • PROPOSITION XII.
    • SCHOLIUM.
    • PROPOSITION XIII.
    • PROPOSITION XIV.
    • PROPOSITION XV.
    • PROPOSITION XVI.
    • PROPOSITION XVII.
    • PROPOSITION XVIII.
    • PROPOSITION XIX.
    • PROPOSITION XX.
    • PROPOSITION XXI.
  • PRACTICAL EXERCISES IN MENSURATION.
  • OF SPECIFIC GRAVITY.
    • PROBLEM I. To find the Magnitude of any Body from its Weight.
    • PROBLEM II. To find the Weight of a Body from its Magnitude.
    • PROBLEM III. To find the Specific Gravity of a Body.
    • PROBLEM IV. To find the Quantities of Two Ingredients in a given Com∣pound.
  • OF THE WEIGHT AND DIMENSIONS OF BALLS AND SHELLS.
    • PROBLEM I. To find the Weight of an Iron Ball, from its Diameter.
    • PROBLEM II. To find the Weight of a Leaden Ball.
    • PROBLEM III. To find the Diameter of an Iron Ball.
    • PROBLEM IV. To find the Diameter of a Leaden Ball.
    • PROBLEM V. To find the Weight of an Iron Shell.
    • PROBLEM VI. To find how much Powder will fill a Shell.
    • PROBLEM VII. To find how much Powder will fill a Rectangular Box.
    • PROBLEM VIII. To find how much Powder will fill a Cylinder.
    • PROBLEM IX. To find the Size of a Shell to contain a given Weight of Powder.
    • PROBLEM X. To find the Size of a Cubical Box to contain a given Weight of Powder.
    • PROBLEM XI. To find what Length of a Cylinder will be filled by a given Weight of Gun-powder.
  • OF THE PILING OF BALLS AND SHELLS.
    • PROBLEM I. To find the Number of Balls in a Triangular Pile.
    • PROBLEM II. To find the Number of Balls in a Square Pile.
    • PROBLEM III. To find the Number of Balls in a Rectangular Pile.
    • PROBLEM IV. To find the Number of Balls in an Incomplete Pile.
  • OF DISTANCES BY THE VELOCITY OF SOUND.
  • PRACTICAL EXERCISES IN MECHANICS, STATICS, HYDROSTATICS, SOUND, MO∣TION, GRAVITY, PROJECTILES, AND OTHER BRANCHES OF NATURAL PHILOSOPHY.
  • PRACTICAL QUESTIONS To exercise the DOCTRINE OF FLUXIONS.
  • PRACTICAL EXERCISES CONCERNING FORCES; WITH THE RELATION BETWEEN THEM AND THE TIME, VELOCITY, AND SPACE DESCRIBED.
    • PROBLEM I.
    • PROBLEM II.
    • PROBLEM III.
    • PROBLEM IV.
    • PROBLEM V.
    • PROBLEM VI.
    • PROBLEM VII.
    • PROBLEM VIII.
    • PROBLEM IX.
    • PROBLEM X.
    • PROBLEM XI.
    • PROBLEM XII.
    • PROBLEM XIII.
    • PROBLEM XIV.
    • PROBLEM XV.
    • PROBLEM XVI.
    • PROBLEM XVII.
    • PROBLEM XVIII.
    • PROBLEM XIX.
    • PROBLEM XX.
    • PROBLEM XXI.
    • PROBLEM XXII.
    • PROBLEM XXIII.
    • PROBLEM XXIV.
    • PROBLEM XXV.
    • PROBLEM XXVI.
    • PROBLEM XXVII.
    • PROBLEM XXVIII.
  • OF THE MOTION OF BODIES IN FLUIDS.
    • PROBLEM XXIX.
    • PROBLEM XXX.
    • PROBLEM XXXI.
    • PROBLEM XXXII.
    • SCHOLIUM.
• ERRATA.
• BOOKS by the same AUTHOR, lately published.