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Euclid's Elements of geometry, from the Latin translation of Commandine. To which is added, a treatise of the nature and arithmetic of logarithms; Likewise Another of the Elements of Plane and Spherical Trigonometry; With A Preface, shewing the Usefulness and Excellency of this Work. By Doctor John Keill, F. R. S. and late Professor of Astronomy in Oxford. The Whole Revised; where deficient, Supplied; where lost, or corrupted, Restored. Also, Many Faults committed by Dr. Harris, Mr. Caswell, Mr. Heynes, and other Trigonometrical Writers, are shewn; and in those Cases where They are mistaken, here are given Solutions Geometrically True. An Ample Account of which may be seen in the preface, by Samuel Cunn. The eighth edition, carefully revised and corrected. To which is subjoined an appendix, containing the Investigation of those Series omitted by the Author. And the Difference between Dr. Keill and Mr. Cunn impartially examined and adjusted.
Euclid.Date: MDCCLIX. [1759]- Books
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A system of the mathematics, containing the Euclidean geometry, plane and spherical trigonometry; the projection of the sphere, both orthographic and stereographic, astronomy, the Use of the Globes and Navigation: The Manner of Computing the Appulses of the Moon to the Fixed Stars, and their Occultations by the Interposition of Her Body, very useful for determining the Difference of Longitude between Places. With an Account of the several Methods Proposed and made Use of, by the most celebrated Astronomers for ascertaining the same. New Solar Tables, with their Construction and Use. Tables of the Sun's Place, Right Ascension, Declination, Equation of Natural Days for every Four Years; with Tables of Variation to make them serve for a Hundred Years to come; and a Catalogue of the Right-Ascensions, Declinations, &c. of the most Eminent Fixed Stars: Deduced from the Flamstedian Observations. The Construction of the Meridional Parts, Logarithms, Sines, Tangents and Secants, both Natural and Artificial, by the Newtonian Series. With an Account of the Cycles, Periods, Epoch's, Epacts, Kalendars, &c. Also A Table of Meridional Parts for every Degree and Minute of Latitude to the Ten Thousandth Place in Decimals, calculated de Novo Together with a Large and very Useful Table of the Latitudes and Longitudes of Places; the whole being designed for the Use of the Mathematical School, founded by King Charles II. ... . By James Hodgson, Master of the Royal Mathematical School in Christ's Hospital, and Fellow of the Royal Society.
Hodgson, James, 1672-1755.Date: 1723- Books
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An easy introduction to mechanics, geometry, Plane Trigonometry, Measuring Heights and Distances, Optics, astronomy. To which is prefixed, an essay on the advancement of learning by various modes of recreation. By Mr. John Ryland, of Northampton. Illustrated with twelve copper-plates. For the Use of Schools, as well as private Gentlemen.
Ryland, John, 1723-1792.Date: MDCCLXVIII. [1768]- Books
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The rudiments of mathematics; designed for the use of students at the universities : containing An Introduction to Algebra, Remarks on the first six Books of Euclid, The Elements of Plane Trigonometry: by W. Ludlam, Late Fellow Of ST. John's College, Cambridge.
Ludlam, William, 1717-1788.Date: MDCCXC. [1790]- Books
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The geometrician: containing essays on plane geometry, and trigonometry: with their application to the solutions of a variety of problems, which are of great Use in measuring Heights and Distances of Places, surveying of Counties, Sea-Coasts, &c. By Benjamin Donn, Teacher of the Mathematics, and Lecturer in experimental Philosophy, Author of the Essays on Arithmetic, Book-Keeping, the British Mariner's Assistant, &c.
Donne, Benjamin, 1729-1798.Date: M.DCC.LXXVIII. [1778]- Books
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The rudiments of mathematics; designed for the use of students at the universities: containing an introduction to algebra, remarks on the first six books of Euclid, the elements of plane trigonometry: by W. Ludlam, late Fellow of St. John's College, Cambridge.
Ludlam, William, 1717-1788.Date: MDCCLXXXVII. [1787]- Books
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A treatise upon the dendrometer, a New-Invented Instrument for The more certain and ready Measurement of Standing Timber, by Inspection only: for Facilitating the practical Operations of Engineering, Land-Surveying, Levelling, Mineing, &c. And for Performing mechanically the various Cases of Plane Trigonometry, by a short and familiar Process, without Calculation.
Whittell, Thomas.Date: [1768?]- Books
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A new system of mathematics. Containing plane geometry; general investigation of areas, surfaces, and solids; greatest and least quantities; trigonometry; logarithms; motion, Uniform, accelerated, projectiles, compound, retarded, application. To which is prefixed the first principles of algebra, by way of introduction. By John Muller Professor of Artillery and Fortification to his Royal Highness William Duke of Gloucester.
Muller, John, 1699-1784.Date: [1769]- Books
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A new system of mathematics. Containing plane geometry; general investigation of areas, surfaces, and solids; greatest and least quantities; trigonometry; logarithms; motion, Uniform, Accelerated, Projectiles, Compound, Retarded, Application. To which is prefixed the first principles of algebra, by way of introduction. By John Muller, Professor of Artillery and Fortification to his Royal Highness William Duke of Gloucester.
Muller, John, 1699-1784.Date: [1769]- Books
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Epitome of the art of navigation; or, a short, easy, and methodical way to become a compleat navigator: containing, Practical Geometry, Plane and Spheric, Superficial and Solid; with its Uses in all Kinds of Mensuration. Trigonometry, Plane and Spheric, both Geometric, Instrumental, and Logarithmic; with its Uses in Navigation, viz. In Plane, Mercator's, and Great Circle-Sailing, Geography, Astronomy, the Projection of the Sphere, &c. The Gregorian or New Calendar, Description and Use of the Plane-Chart, Mercator's-Chart, both Globes, Hemispheres, and divers other Instruments. A New Form of keeping a Sea-Reckoning, or Account of a Ship's Way. A Traverse-Table; a Table of Meridional Parts; a Table of 10,000 Logarithms, and Logarithmic Sines, Tangents, and Secants, carefully Corrected. By James Atkinson, Senior. The whole revis'd, and corrected, with the utmost care, by W. Mountaine, Teacher of the Mathematics, & F. R. S.
Atkinson, James, active 1667-1715.Date: M,DCC,LIX. [1759]- Books
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Epitome of the art of navigation; or, a short, easy, and methodical way to become a compleat navigator: Containing, Practical Geometry, Plane and Spheric, Superficial and Solid; with its Uses in all Kinds of Mensuration. Trigonometry, Plane and Spheric, both Geometric, Instrumental, and Logarithmic with its Uses in Navigation, viz. In Plane, Mercator's, and Great Circle Sailing, Geography, Astronomy, the Projection of the Sphere, &c. The Gregorian or New Calendar, Description and Use of the Plane-Chart, Mercator's-Chart, both Globes, Hemispheres, and divers other Instruments A New Form of keeping a Sea-Reckoning, or Account of a Ship's Way. A Traverse Table; a Table of Meridional Parts; a Table of 10,000 Logarithms, and Logarithmic Sines, Tangents and Secants, carefully corrected. By James Atkinson, Senior, the whole revis'd and corrected, with the utmost care, by W. Mountaine, Teacher of the Mathematics, & F. R. S.
Atkinson, James, active 1667-1715.Date: M,DCC,LXX. [1770]- Books
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The elements, analysis, and practice of arithmetic vulgar, decimal, and duodecimal, in all the parts of modern business, mercantile or mechanical: With plane trigonometry, rectangular, and oblique, applied to the computation of heights and distances, on the earth, on the sea, and in the heavens, by arithmetic only.
Gordon, William, active 1763-1809.Date: MDCCLXXV. [1775]- Books
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The elements of Euclid, viz. the first six books, together with the eleventh and twelfth. The Errors, by which Theon, or others, have long ago Vitiated these Books, are Corrected, And some of Euclid's Demonstrations are Restored. Also, the book of Euclid's data, in like manner corrected. By Robert Simson, M. D. Emeritus Professor of Mathematics in the University of Glasgow. To this edition are also annexed, elements of plane and spherical trigonometry.
Euclid.Date: M.DCC.LXXXI. [1781]- Books
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Epitome of the whole art of navigation: or, a short, easy, and methodical way to become a complete navigator and astronomer; Containing an Introduction to Decimal and Logarithmic Arithmetic, Practical Geometry, Trigonometry Plane and Spherio, Geometrically, and Logarithmically, with their Uses in Navigation, viz. In Plane, Mercator's, and Middle Latitude Sailing, Geography, and Nautical Astronomy; illustrated with Charts and Diagrams: With an Introduction to The Lunar Method of determining the Longitude at Sea. The Gregorian or New Calendar, Description and Use of the Plane Chart, Mercator's Chart, also of Hadley's Octant and Sextant. A Table of the Latitude and Longitude of Places; Tables of Latitude and Departure to every Quarter Point and Degree of the Compass to 300 Miles Distance; A Table of Meridional Parts, Solar Tables, Natural Since, &c. &c. Also A Table of ... Logarithms, and Logarithmic Sines Tangents, and Secants. By James Atkinson, Senior. Much improved enlarged from the best Authors on these Subjects, by John Adams, Teacher of the Mathematics, at Edmonton.
Atkinson, James, active 1667-1715.Date: 1790- Books
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An easy introduction to fortification and practical gunnery. Containing, I. Decimal Arithmetic, Extraction of Roots. II. The Laws of Motion; of Gravity. Descent of heavy Bodies. Vibration of Pendulums. III. Geometrical Problems, and some of the most useful Theorems in Geometry demonstrated in a very plain and easy Way. IV. The measuring of Superficies. V. The measuring of Solids. Of the Strength of Beams of Timber, with Rules for cutting Scantlings for Buildings, from Mathematical Principles. VI. The Computation of Balls and Shells. Vii. Logarithmical Arithmetic. Viii. Plane Trigonometry, the Proportion of Sines, Co-Fines, Tangents, &c. With many useful Problems for finding Heights and Distances, &c. copiously handled. IX. Fortification, explaining the Terms, with Rules for fortifying any regular Polygon, from the Square to the Decagon, and all the Sines and Angles computed by Trigonometry, with the Operation at large. X. Gunnery, where the Cases are solved by Addition and Subtraction only, with numeral Examples; the Rules in Words at length, whether the Projections be made on horizontal, or on ascending or descending Planes. The Theory of Projectiles. Tables of Experiments of Cannons and Mortars, with some Observations. The Solution of a Problem to find the Velocity of a Bullet shot from any Piece of Ordnance; with the necessary Tables. The second edition, corrected and very much enlarged. By the Rev. F. Holliday, Minister of Bothamsal, and Master of the Free Grammar-School at Haughton Park, Nottinghamshire.
Holliday, Francis, 1717-1787.Date: MDCCLXXIV. [1774]- Books
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An easy introduction to practical gunnery, or, the art of engineering. Containing, I. Decimal Arithmetic, Extraction of Roots. II. Mensuration of Planes and Solids, and the Computation of the Strength of Timber Joists, &c. III. The Computation of Balls and Shells. IV. The necessary Theorems in Geometry, demonstrated in a very plain and easy Way. V. The Nature and Use of Logarithms. VI. Plane Trigonometry in all its Cases; with the Method of taking Heights and Distances, and a one Station. Vii. Gunnery, where the Cases are solved by Addition and Subtraction only, with numeral Examples, the Rules in Words at length, for those who are unacquainted with the Elements of the higher Geometry. Viii. The Theory of Projectiles. IX. Tables of Experiments of Cannons and Mortars, with some Observations. X. The Solution of a difficult Problem to find the Velocity of a Bullet, shot from any Piece of Artillery. XI. The necessary Tables of Gunnery. Illustrated with Copper Plates. By F. Holliday, Master of the Free Grammar School at Haughton Park, near Retford, Nottinghamshire.
Holliday, Francis, 1717-1787.Date: MDCCLVI. [1756]- Books
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The astronomy of comets. In two parts. Part I. Containing a physical account of the solar system; the whole Theory of Comets, with the Rationale, or Physical Causes of these Phoenomena, from the earliest Ages to the present Time. Part II. Containing the practical methods of calculation. First, by the Properties of the Parabola without Tables; and secondly, by Tables prefixed to the Work, with the Construction of the Tables, whereby the Place and Distance of Comet from the Earth, together with its Latitude and Longitude in the Ecliptic, may, for any Time, be known, by any one who has but a common Skill in Plane Trigonometry. The whole Process of Calculation exemplified in the Comet which is expected to make its Appearance in the Year 1789. By Blyth Hancock, Teacher of the Mathematics.
Hancock, Blyth, 1721 or 1722-1795.Date: MDCCLXXXVI. [1786]- Books
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Epitome of the art of navigation; or, a short, easy, and methodical way to become a complete navigator; Containing Practical Geometry, Plane and Spheric, Superficial and Solid; with its Uses in all Kinds of Mensuration. Trigonometry Plane and Spheric, both Geometric, Instrumental and Logarithmic, with its Uses in Navigation, viz. In Plane, Mercator's, and Great Circle Sailing, Geography, Astronomy, the Projection of the Sphere, &c. The Gregorian or New Calendar, Description and Use of the Plane-Chart, Mercator's-Chart, both Globes, Hemispheres, and divers other Instruments. A New Form of keeping a Sea-Reckoning, or Account of a Ship's Way. A Traverse Table; a Table of Meridional Parts; a Table of 10,000 Logarithms, and Logarithmic Sines, Tangents and Secants, carefully corrected. By James Atkinson, Senior. The whole revised and corrected, with the utmost Care, by W. Mountaine, Mathematical Examiner to the Honourable Corporation of Trinity-House of Deptford-Strond, and F.R.S.
Atkinson, James, active 1667-1715.Date: 1778- Books
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A complete treatise on practical mathematics: including the nature and use of mathematical instruments: logarithmic tables. Trigonometry. Mensuration of Heights and Distances. - of Surfacfs & Solids. Land-Surveying. Gunnery. Gauging. Artificer's Measuring. Miscellaneous Exercises. With an Appendix on Algebra. The whole Conducted on the Most Approved Plan, with Proper Rules, and a Variety of Suitable Examples to Each Rule. Principally designed for the use of Schools and Academies. By John Macgregor, Teacher of Mathematics, Edinburgh.
M'Gregor, John, teacher of Mathematics.Date: MDCCXCII. [1792]- Books
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Epitome of the art of navigation: or, a short, easy and methodical way to become a compleat navigator: Containing, Practical Geometry, Plane and Spheric, Superficial and Solid; with its Uses in all Kinds of Mensuration. Trigonometry, Plain and Spheric, both Geometric, Instrumental, and Logarithmic; with its Uses in Navigation, viz. In Plane, Mercator's, and Great-Circle Sailing, Geography, Astronomy, the Projection of the Sphere, &c. The Description and Use of the Plane Chart, Mercator's-Chart, both Globes, Hemispheres, and divers other Instruments. A New Form of keeping a Sea-Reckoning, or Account of a Ship's Way. A Traverse-Table; A Table of Meridional Parts; a Table of 10,000 Logarithms, and Logarithmic Sines, Tangents and Secants, carefully Corrected. By James Atkinson, Senior. The whole revis'd, and corrected, with the utmost care, by William Mountaine, Teacher of the Mathematics.
Atkinson, James, active 1667-1715.Date: M,DCC,XLIX. [1749]- Books
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Mathematical exercises: Containing, I. The Principles of the Orthographick Projection of the Sphere; with the Application thereof to the Solution of some Problems in Astronomy, and the Demonstration of certain Theorems of great Use in Spherical Trigonometry. II. The Principles of the Stereographick Projection, and the Application thereof to the Describing of the Representations of the Circles, &c. of the Sphere on the Planes of different Great Circles. III. Sixteen new Problems, to be answered in the Second Number. By John Turner. No. I.
Turner, John, 1717-Date: M.DCC.L. [1750][-53?]- Books
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An epitome of theoretical and practical navigation, containing a complete system of that art, greatly improved, (and widely different from the present laborious, and, in some respects, erroneous Method of Teaching) from self-evident Demonstration, founded on many Years Experience in the several Voyages made by the Author; more particularly, That to St. Helena, when appointed by the Royal Society, to observe the transit of Venus over the sun. This Work is arranged under the following Heads, in a more easy and accurate manner than any hitherto published, viz. Chronology; the Theory of Tides; magnetism, and the variation of the needle; Geography, with a large Table of the Latitude and Longitude of Places in Europe, Asia, Africa and America; together with the Times of High Water at the principal Places; Geometry; the construction of logarithms; plane trigonometry, with their Application to Navigation; The Method of making Sea Charts, finding the Latitude and Longitude of a Ship, and the Variation of the Compass: With a new table, shewing the Times of the Rising and Setting of the Sun, Moon and Stars; Also the Manner of finding the Lee-Way, the Set and Drift of Currents, and to Correct the Dead Reckoning, &c. All of which are exemplified in a journal from the Downs through the Channel, from the Lizard to Madeira, and from Teneriff to S.. Helena, with the Author's Remarks thereon; As also the Form of keeping a Journal, and of collecting, with the greatest Facility, the Particulars thereof. By Robt. Waddington, teacher of Mathematics, Late Mathematical Master of the Royal Academy at Portsmouth.
Waddington, Robert.Date: M,DCC,LXXVII. [1777]- Books
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Navigation made easy and familiar to the most common capacity: or the young sailor's sure guide, and scholar's best instructor in the art of navigation. Comprehending every modern Improvement of real Utility, and divested of all extraneous Matter, not immediately relating to the Subject, by Way of Dialogue. In four books. Book I. Contains the Nature and Use of Logarithms, Geometry, and Plane Trigonometry, both right angled and oblique. II. Explains Terms in Sailing, with the Cases in Plane Sailing, also Traverse Sailing, Parallel and Middle Latitude, Mereator's, Oblique, and Current Sailing, and turning to Windward. III. Of he Requisites for Dead Reckoning, discovering Currents, High Water, Tides, and Trade Winds, &c. and the Variation of the Compass, Meridian, and double Altitudes of the Sun for correcting Latitude both by natural Sines and Logarithms, the Moon's Distance from the Sun or known fixed Stars for determining the Longitude, with a Method of finding the Longitude by a good common Watch, the Use of Instruments, and many general Observations of great Use to the practical Seaman. IV. Contains a Journal of a Voyage from London to Madeira, to which are annexed Observations on the several Days Works during the Voyage. To all which An Introduction is prefixed, containing a concise System of Arithmetic, adapted purposely for Seamen; and to the whole Every Table is added which the latest Improvements have made necessary; all which have been examined with a critical Attention, and several Errors corrected and Additions made to those Tables taken from the first Authority; Forming together the most Concise, correct, and methodical Work of the Kind extant. By the Rev. John Malham, Teacher of Navigation and the Classics, in Plymouth-Dock; and Author of the New Universal Companion, the School-Master's Complete Companion, &c.
Malham, John, 1747-1821.Date: M,DCC,XC. [1790]- Books
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Tables of difference of latitude and departure for navigators, Land Surveyors, &c. with their application to plane trigonometry, And their Use in plotting and calculating surveys, Which perfects the House-Work of that Art. To which is prefixed, An Account of the Diurnal Variation of the Magnetic Needle, the Error thence arising and its Correction; the Use of a new Surveying Instrument, &c. Being great Improvements of the Field-Work. The Whole almost Entirely New. Compiled at the Instance of a Committee of the Dublin Society, By John Hood, Land Surveyor.
Hood, John, 1720-1783.Date: MDCCLXXII. [1772]