The English academy, or, A brief introduction to the seven liberal arts grammar, arithmetick, geometrie, musick, astronomie, rhetorick & logic : to which is added the necessary arts and mysteries of navigation, dyaling, surveying, mensuration, gauging & fortification, practically laid down in all their material points and particulars, highly approved to be known by the ingenious, and as such are desirous to profit, or render themselves accomplished : chiefly intended for the instruction of young scholars, who are acquainted with no other than their native language, but may also be very useful to other persons that have made some progress in the studies of the said arts / by John Newton.

Title

The English academy, or, A brief introduction to the seven liberal arts grammar, arithmetick, geometrie, musick, astronomie, rhetorick & logic : to which is added the necessary arts and mysteries of navigation, dyaling, surveying, mensuration, gauging & fortification, practically laid down in all their material points and particulars, highly approved to be known by the ingenious, and as such are desirous to profit, or render themselves accomplished : chiefly intended for the instruction of young scholars, who are acquainted with no other than their native language, but may also be very useful to other persons that have made some progress in the studies of the said arts / by John Newton.

Author

Newton, John, 1622-1678.

Publication

London :: Printed by A. Milbourn for Tho. Passenger ...,

1693.

Rights/Permissions

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Subject terms

Education, Humanistic -- Early works to 1800.

Education, Medieval.

Link to this Item

https://name.umdl.umich.edu/A52260.0001.001 content_copy

Cite this Item

"The English academy, or, A brief introduction to the seven liberal arts grammar, arithmetick, geometrie, musick, astronomie, rhetorick & logic : to which is added the necessary arts and mysteries of navigation, dyaling, surveying, mensuration, gauging & fortification, practically laid down in all their material points and particulars, highly approved to be known by the ingenious, and as such are desirous to profit, or render themselves accomplished : chiefly intended for the instruction of young scholars, who are acquainted with no other than their native language, but may also be very useful to other persons that have made some progress in the studies of the said arts / by John Newton." In the digital collection Early English Books Online. https://name.umdl.umich.edu/A52260.0001.001. University of Michigan Library Digital Collections. Accessed May 2, 2024. content_copy

Contents

• title page
• license
• TO THE READER.
• THE PREFACE OR, INTRODUCTION TO THE Arts and Sciences in the General.
• THE ENGLISH ACADEMY. The FIRST PART. OF GRAMMAR. BOOK I.
  • CHAP. I. Of Letters and Syllables.
  • CHHP. II. Of Words.
  • CHAP. III Of a Pronoun.
  • CHAP. IV Of a Verb and Participle.
    • Present Tense.
    • Preterimperfect Tense.
    • For example.
  • CHAP. V. Of Adverbs, Conjunctions, Prepositions, and Interjections.
  • CHAP. VI. Of Dividing of Words into Syllables.
  • CHAP. VII. Of Sentences, and such Distinctions, or Points as are to be used in Writing, and ob∣served in Reading.
• THE ENGLISH ACADEMY. The SECOND PART. Of ARITHMETICK.
  • CHAP. I. Of single Arithmetick in whole Numbers.
  • CHAP. II. Of Single-Arithmetick in Fractions.
    • Example.
    • Example.
    • Example.
    • Example.
  • CHAP III. Of Comparative Arithmetick.
  • CHAP IV. Of the Rule of Proportion, or Rule of Three.
  • CHAP. V. Of the Compound Rule of Three.
    • Example.
  • CHAP. VI. Of the Rule of Fellowship.
• THE ENGLISH ACADEMY. The THIRD PART. Of GEOMETRY.
  • CHAP. I. Of the Definition and Division of Geometry.
    • Proposition I. Vpon a Right Line given, to erect a Perpen∣dicular, from any Point assigned.
    • Proposition II. From a Point assigned without a Right Line given, to let fall a Perpendicular.
    • Proposition III. To Divide a Right Line given into any num∣ber of equal parts.
    • Proposition IV. How to divide a Circle into 120 Parts, and by consequence into 360.
  • CHAP. II. Of Right Lined Triangles.
    • Proposition I. How to protract or lay down an Angle to any quantity or number of Degrees proposed.
    • Proposition II. How to find the quantity of any Angle alrea∣dy protracted.
  • CHAP. III. Of the Solution or Mensuration of plane Triangles.
    • Problem I. The Legs given, to find an Angle and the Hipothenuse.
    • Problem II. The Angles and one Leg given to find the Hy∣pothenuse and the other Leg.
    • Problem III. The Hypothenuse and Oblique Angles given, to find the Legs.
    • Problem IV. The Hypothenuse and one Leg given, to find the Angles and the other Leg.
    • Problem V. The angles in an Oblique angled plane triangle one side given, to find the other sides.
    • Problem VI. Two sides of an Angle opposite to one of them being given, to find the other Angles and the third side, if it be known whether the Angle op∣posite to the other given side be Acute or Obtuse.
    • Problem VII. Two Sides with the Angle comprehended be∣ing given, to find the other Angles, and the third Side.
    • Problem VIII. The three sides given to find an Angle.
    • Problem IX. To find the Superficial content of Right lined Figures.
    • Problem I. The Diameter of a Circle being given, to find the Circumference.
    • Problem II. The Diameter of a Circle being given, to find the Superficial content.
    • Problem III. The Diameter of a Circle being given, to find the side of a square which may be inscribed within the same Circle.
    • Problem IV. The Circumference of a Circle being given, to find the Diameter.
    • Problem V. The Circumference of a Circle being given, to find the Superficial content.
    • Problem VI. The Circumference of a Circle being given, to find the side of a square which may be inscribed within the same Circle.
    • Problem VII. The superficial content of a Circle being gi∣ven to find the Diameter.
    • Problem VIII. The Superficial content of a Circle being gi∣ven, to find the Circumference.
    • Problem IX. The Axis or Diameter of a Sphere being gi∣ven, to find the Superficial Content.
  • CHAP. IV. Of Bodies or Solids.
    • Problem I. The Base and Altitude of a Pyramide or Cone given, to find the Solid Content.
    • Problem II. The Base of a Prisme or Cylinder being gi∣ven, to find the sold content.
    • Problem III. In a Piece or Frustum of a Pyramide, Cone or other irregular Solid, both the bases being gi∣ven, to find the content.
    • Problem IV. The Axis of a Sphere being given, to find the solid content.
• THE ENGLISH ACADEMY: The FOVRTH PART. Of MUSICK.
  • CHAP. I. Of SINGING.
  • CHAP. II. Of the Tunes of Notes.
  • CHAP. III. Of the Time of Notes.
  • CHAP. IV. Of the Adjuncts belonging to Musical Notes.
• THE ENGLISH ACADEMY: The FIFTH PART. Of ASTRONOMIE.
  • CHAP. I. Of the General Subject of Astronomie.
  • CHAP. II. Of the Internal and Immutable great Circles.
    • The Proposition is this:
  • CHAP. III. Of the Ascensions and Descensions of the Parts of the Zodiack.
    • Problem I. To find the Suns Greatest Declination and the Poles Elevation.
    • Problem II. The Suns greatest Declination being given, to find his Declination in any point of the Ecliptick.
    • Problem III. The suns greatest declination and his distance from the next Equinoctial point given, to find his Right Ascension.
    • Problem IV. The Elevation of the Pole, and declination of the sun being given, to find his Amplitude.
    • Problem V. The Poles Elevation and suns declination be∣ing given, to find the ascentional difference.
    • Problem VI. The right ascension, and ascensional diffe∣rence being given, to find the Oblique ascension and declination.
    • Problem VII. To find the time of the Suns rising and setting with the Length of the day and Night.
    • Problem VIII. The Poles Elevation, and the suns Declinati∣on given, to find the time when he will be due East and West.
    • Problem IX. The Poles Elevation, with the Suns Altitude and Declination given, to find the Suns Azimuth.
  • CHAP. IV. Of the Secondary or Periodical Motion of the Stars.
    • As for Example.
    • Example.
• calendrical table
• THE ENGLISH ACADEMY: The SIXTH PART. Of RHETORICK.
  • CHAP. I. Of the Definition and Parts of RHETORICK.
    • For Example.
    • For Example.
    • For Example.
  • CHAP. II. Of Disposition.
    • For Example.
  • CHAP, III Of Elocution.
  • CHAP. IV. Of a Figure.
• THE ENGLISH ACADEMY: The SEVENTH PART. Of the ART of LOGICK.
  • CHAP. I Of Simple Themes.
  • CHAP. II. Of Compounded Themes.
  • CHAP. III. Of Difinition and Division.
  • CHAP. IV. Of Argumentation.
    • Example.
  • CHAP. V. Of A Material Syllogism.
  • CHAP. VI. Of a Topical Syllogism.
  • CHAP. VII. Of a Sophistical Syllogism.
  • CHAP. VIII. Of Method.
• The ART and MISTERY of NAVIGATION;
  • As to Observation in taking Heights, &c. Sailing the Sundry ways, &c. And other useful matters worthy of note to Navigators, &c.
  • Horology, or the Curious Art of Dial∣ing made plain and easy in describing, and directing the positions of the Sundry sorts of Dials now in use; also to know by a Sun-dial the time of the night by the Moons shaddow.
  • Planimetry, or, The most Exact and Curious Arts of Surveying Lands, &c. after the newest and most Experienced Method and Practice, &c.
  • The Art and Mystery of Gauging Ves∣sels of Sundry Forms and Quanti∣ties, by Exact Rules laid down plain and easie: Also to Gauge and know the Burthen of any Ship, and other matters.
  • Exact Rules and Directions for For∣tification, Regular and Irregular for War, Offensive or Defensive, Outworks and Inward Strengths, &c.
• Books Sold by T. Passenger, at the Three Bibles and Star on London-Bridge.