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Compendium artis nauticæ. Being the daily practice of the whole art of navigation; whereby all the problems of navigation and astronomy practicable at sea, are easily, expeditiously and exactly performed, only by tabular inspection: without The Operation of Plain and Spherical Trigonometry; each Problem being amply explained, and rendered intelligible to the meanest Capacity; so as to enable them to keep an Account of the Ships Way, both by Plain and Mercator's-Sailing: All being wholly New, and exactly agreeing with the nicest Calculation, and may readily be applied to most Parts of Practical Mathematicks. By John Collier, Formerly Teacher of the Mathematicks to the Gentlemen Voluntiers in the Royal Navy.
Collier, John, teacher of Mathematics.Date: 1729- Books
Euclid's Phaenomena : a translation and study of a hellenistic treatise in spherical astronomy / J.L. Berggren and R.S.D. Thomas.
Euclid.Date: 1996- Books
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Elements of trigonometry, plain and spherical; applied to the most useful problems in heights and distances, astronomy and navigation: for the use of learners. By William Payne.
Payne, William, teacher of mathematics.Date: MDCCLXXII. [1772]- Books
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The elements. Of plain and spherical trigonometry. Also a short treatise of the nature and arithmetick of logarithms. By Doctor John Keil, F. R. S. And late Professor of Astronomy in Oxford.
Keill, John, 1671-1721.Date: MDCCXXVI. [1726]- Books
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The elements of plain and spherical trigonometry; Also a short treatise of the nature and arithmetick of logarithms. By Doctor John Keil F.R.S. and late professor of Astronomy in Oxford. Translated by Samuel Cunn. And carefully corrected by S. Fuller.
Keill, John, 1671-1721.Date: M,DCC,XC. [1790]- Books
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Navigation new modelled: or, a treatise of geometrical, trigonometrical, arithmetical, instrumental, and practical navigation. Teaching how to keep a reckoning, both in latitude and longitude, ... Together with all necessary tables, ... The sixth edition, with the addition of spherical trigonometry, and astronomy. By Henry Wilson.
Wilson, Henry, 1673-1741.Date: 1750- Books
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Astronomia accurata; or the royal astronomer and navigator. Containing new improvements in astronomy, chronology, and navigation. Particularly New and correct Solar and Lunar Tables; With Precepts and Examples of their Use, according to Old or New Style. The Elements of the Radical Mean Places and Motions of the Planets and Satellites. A New and Correct Catalogue of Stars. With their Right Ascensions, Declinations, and Annual Variations, (supplying the Place of Uranographia Britannica.) And Answers to Fifty-Three Astronomical Questions. Chronological Rules and Tables. Reduction of the Dates of Aeras. With Universal and Perpelual Time-Tables; serving for any Year, past, present, or to come. And Answers to many Chronological Questions. The Seaman's Ready Computer, Or New and Easy Navigation: Shewing how to keep an exact Ship's Reckoning; with Examples, according to all the Methods of Sailing in Practice, by only summing up a few Figures, taken out of Tables. Tobular Answers to all the Cases in Plain and Spherical Triangles; and to all the Cases of Sailing. An alphobetical Tide-Table: An universal Sea-Coast Table, of the Latitudes and Longitudes from Greenwich, and also the Island of Ferro, of the most remarkable Sea-Coast Places, Ports, and Harbours, lying contiguous round the World. To which are added An explanatory Comment on the Moon's Theory: An easy Method, with Examples, of computing the Lunations, and of Solar and Lunar Eclipses. And how to determine the Difference of Longitude, from the Royal Observatory, at Greenwich, by observing the Moon's Place, under any distant Meridian. With some useful Remarks and Improvements on the Motion and Theory of Comets. The whole interspersed with a Variety of necessary Tables, and Articles, subservient to the three principal Subjects. By Robert Heath, a military officer.
Heath, Robert, -1779.Date: M.DCC.LX [1760]- Books
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Mathematical institutions. In three parts. I. Clavis II. Janua III. Ancilla The Key, Gate, Hand-maid, to the mathematical sciences. Wherein, the doctrine of plain and spherical triangles, is succinctly handled, geometrically demonstrated, arithmetically, geometrically, instrumentally performed; and practically apply'd to geometry, cosmography, geography, astronomy, sciographia, navigation, and theories of the planets. By Will. Leybourn, Philom.
Leybourn, William, 1626-1716.Date: MDCCIV. [1704]- Books
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Mathematical institutions. In three parts. I. Clavis II. Janua III. Ancilla The Key, Gate, Hand-maid, to the mathematical sciences. Wherein, the doctrine of plain and spherical triangles, is succinctly handled, geometrically demonstrated, arithmetically, geometrically, instrumentally performed; and practically apply'd to geometry, cosmography, geography, astronomy, sciographia, navigation, and theories of the planets. By Will. Leybourn, Philom.
Leybourn, William, 1626-1716.Date: MDCCIV. [1704]- Books
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Trigonometry improv'd, and projection of the sphere, made easy. Teaching The Projection of the Sphere Orthographick, and Stereographick: As also, Trigonometry Plain and Spherical; with plain and intelligible Reasons for the various and most useful Methods, both in Projection and Calculation; with the Application of the whole to Astronomy, Dialling, and Geography. By Henry Wilson.
Wilson, Henry, 1673-1741.Date: MDCCXX. [1720]- Books
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Directions for making an universal meridian dial, capable of being set to any latitude; which shall give the mean solar time of noon, by inspection, Without any Calculation Whatsoever. By Francis Wollaston, F. R. S.
Wollaston, Francis, 1731-1815.Date: 1793- Books
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The knowledge of the heavens and the earth made easy: or, the first principles of astronomy and geography explained by the use of globes and maps. ... By I. Watts, D.D.
Watts, Isaac, 1674-1748.Date: 1772- Books
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A treatise on the various lengths of the days, nights, and twilights, with tables of the latitude and longtitude of the most eminent towns, harbours, Headlands, and Islands, in the world, and their Bearings and Distance from London; with a short Discourse on Heat, Cold, and Twilight. The Whole being very plain and easy, diverting and instructive. Illustrated with a Copper-Plate, shewing The Length of the Days, Nights, and Twilights, at Bridge-Town, in Barbadoes, when the Sun is on the Tropicks and Equator. Also, A moveable Planisphere, neatly engraved on Copper, which, with a Semi-Circle of Sinical Hours, sheweth the Time of the Sun's Rising, Setting, and Length of the Days, Nights, and Twilights in all Parts of the Globe, when the Sun is in the Summer and Winter Solstices, and the Vernal and Autumnal Equinoxes; with its Description and Use. Likewise A moveable Orthographical Projection on the Plain of the Equator, with a moveable Index, neatly engraved on Copper, which will shew the Situation of any Place on the Globe; and also the Difference of Longitude and Time, between any two Places; and will solve several entertaining Questions the Globe; with its Description and Use at large. By Richard Mihill, Late Midshipman on Board his Majey's Ship Elizabeth.
Mihill, Richard.Date: [1755]- Books
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Practical astronomy: containing a description of the solar system; the doctrine of the sphere; the principal problems in astronomy, Illustrated with many Examples. Together with astronomical tables of the sun, moon, and primary planets. By Alexander Ewing, teacher of mathematics, Edinburgh.
Ewing, Alexander, -1804.Date: 1797- Books
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A treatise of the sphere; shewing how it is deriv'd from that theory which justly asserts the motion of the earth: as also of the projections of it, both orthographical & stereographical; Demonstrating their Properties from Fundamental Propositions, and shewing their Uses. With the Resolution of Astronomical and Chorographical Problems. By the late Reverend John Witty, M.A. and Chaplain to His Grace the Duke of Devonshire.
Witty, John.Date: 1714- Books
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The description and use of both the globes, the armillary sphere, and orrery, Exemplified In a large and select Variety of Problems in Astronomy, Geography, Dialling, Navigation, Spherical Trigonometry, Chronology, &c. Also A New Construction of each Globe, by an Apparatus exhibiting the Phaenomena of the Earth and Heavens exactly as they are, and adapting the same to every Age of the World. The whole embellished with five copper plates of the instruments, &c. By Benj. Martin.
Martin, Benjamin, 1705-1782.Date: [1758]- Books
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A treatise on the various lengths of the days, nights and twilights : with tables of latitude and longitude of the most eminent towns, harbours, headlands, and islands in the world ... / by Richard Mihill.
Mihill, Richard.Date: 1755- 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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New and correct tables of the lunar motions, according to the Newtonian theory: as it is truly freed from all errors of the press. Which Tables are demonstratively prov'd to be true, by a sufficient Number of Observations, of the most Eminent Astronomers of this and the last Age, viz. Tycho Brahe, Longomontanus, Heveljus, Ricciolus, Bullialdus, Cassini, De la Hire, Dr. Halley, Mr. Flamsteed, Mr. Haynes, &c. Being mostly Observations of Lunar Eclipses, and some of them taken by several of the aforesaid Observers at once. Together, With the Description of a New Instrument for taking Altitudes at Sea, with much more Speed and Certainty than by any Quadrant yet invented; by Means of which Instrument (which may not improperly be call'd an Hypsometer) and the Tables, together with a Book lately printed, entitled, An Humble Address to the Honourable Commissioners, the Longitude may be found, as often as shall be necessary, to the requir'd Exactness: As also, Eclipses may be calculated to the greatest Perfection. The Whole design'd for the Use of, His Royal Highness the Duke of Cumberland, To whom with the greatest Submission it is most humbly dedicated. By Robert Wright, B. A. Author of the Boook before mention'd; formerly of Jesus College in Cambridge.
Wright, Robert, 1677-Date: MDCCXXXII. [1732]- Books
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The doctrine of plain and spherical trigonometry: with its application and use in the following parts of mathematicks; Viz. I. Navigation in all its Kinds; as Plain Sailing, Mercator's Sailing, Middle Latitude, and Parallel Sailing. II. Astronomy; wherein all the Problems relating to the Doctrine of the Sphere are solved. III. Projection of the Sphere in Plano. IV. Geography. V. Fortification. VI. Mensuration of Heights and Distances, both accessible and inaccessible. Vii. Dialling, Arithmetical and Instrumental, on all sorts of Planes. By William Hawney, Author of The Compleat Measurer.
Hawney, William, active 1710-1750.Date: M.DCC.XXV. [1725]- Books
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The doctrine of plain and spherical trigonometry : with its application and use in the following parts of mathematics; viz. I. Navigation in all its kinds; as Plain Sailing, Mercator's Sailing, Middle Latitude, and Parallel Sailing. II. Astronomy; wherein all the Problems relating to the Doctrine of the Sphere are solved. III. Projection of the Sphere in Plano. IV. Geography. V. Fortification. VI. Mensuration of Heights and Distances, both accessible and inaccessible. Vii. Dialling, Arithmetical and Instrumental, on all Sorts of Planes. By William Hawney, Author of The Compleat Measurer.
Hawney, William, active 1710-1750.Date: MDCCL. [1750]- Books
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An introduction to astronomy, geography, navigation, and other mathematical sciences made easie by the description and uses of the coelestial and terrestrial globes. In Seven Parts. Containing I. The Definitions of the Lines, Circles, &c. upon the Globe or Sphere; and of several Terms of Art. II. The Problems in Astronomy Methodically digested, with Variety of Examples. III. The several Affections of Triangles, and their Solution upon the Globe; with the Variety of Problems which every Case contains. IV. The whole Art of Dyalling demonstrated and performed two several ways. V. The Erection of an Astrological Figure of the Heavens, according to the several ways of the Ancient and Modern Astrologers. VI. & Vii. The Explanation and Uses of the Terrestrial Globe, with a brief Geographical and Hydrographical Description of the Earth and Water. With several Problems useful in the Art of Geography, Navigation. And also, The Description and use of Maps and Charts both General and Particular. By Robert Morden.
Morden, Robert, -1703.Date: 1702- Books
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A new and complete description of the terrestrial and celestial globes, with their several uses. In eight parts. Containing I. Definitions of the several Parts of the Celestial and Terrestrial Globes, both real and imaginary, with their several Uses. II. A short but comprehensive System of the Geography of the Terrestrial Globe. III. The Use of the Terrestrial Globe, exemplified or illustrated in Sixty-Eight Problems, with very easy Directions for working them. IV. The Construction of the Analemma, with its Use on the Terrestrial Globe, in Seven Problems. V. A further Use of the Terrestrial Globe, exemplified in Forty-Five Theorems, with their Explications. VI. A Continuation of the Use of the Terrestrial Globe, exemplified in Fifty-Six Paradoxes, with their Solutions; distinguished into Geographical, Philosophical, and Astronomical. Vii. The Use of the Celestial Globe, exemplified in Twenty-Six Problems, with very easy Directions to obtain their Solutions, to which is prefixed a short Account of the Copernican System, and a short Explanation of the latter Part of Parker's Ephemeris. Viii. A Continuation of the Use of the Celestial Globe, exemplified in Twelve Nautical Problems, for finding the Latitude at Sea; with the like easy Solutions. To which is annexed, an appendix, concerning the nature and use of the orrery, Or Planetarium. The Whole, interspersed with useful and instructive Notes, is designed and adapted for the Use of Schools, in Great-Britain and Ireland; and in the British Colonies and Plantations abroad. By Thomas Dilworth, Schoolmaster in Wapping; Author of the New Guide to the English Tongue, Schoolmasters Assistant, &c. &c.
Dilworth, Thomas, -1780.Date: MDCCLXXV. [1775]- Books
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The young student's memorial book, or pocket library: containing, I. The rudiments of logarithms, decimals, and algebra, in great Variety of Rules and Cases. II. A very large Collection of Theorems and Canons for solving Questions and Problems in the various Parts of Arithmetic, Algebra, and Fluxions. III. Rules, Theorems and Canons, resolving all the useful and common Problems in the Mathematical and Mechanical Arts and Sciences; viz. Mensuration, Gauging, Conies, Plain and Spherical Trigonometry, Navigation, Fortification, Gunnery, Astronomy, Dialling, Optics, Perspective, Architecture, Mechanics, Geometry, &c. IV. A large Collection of Mathematical Tables: serving to various Purposes of Arithmetic, Astronomy, Geography, Chronology, &c. with a Perpetual Almanack, adjusted to the present Year, 1735. V. An Apparatus of the common Mathematical Lines, for the Operation of any Question or Problem, as is perform'd by the Plain Scale, &c. By Benjamin Martin.
Martin, Benjamin, 1705-1782.Date: 1736- Books
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Mathematicks made plain, In the Solution of Variety Of Useful Propositions in Arithmetick. Interest, Simple and Compound. Geometry. Surveying. Gauging. Measuring all Artificers Works. Trigonometry, Plain and Spherical. Astronomy. Geography. Navigation. Dialling. Chronology. Dioptricks. Staticks. Gunnery. Military Fortification. Civil and Naval Architecture. Mechanick Powers. Automaticks, or Clock-Work, &c. All Perform'd by that Excellent Line of Numbers, commonly call'd Gunter's-Line. Being A necessary Companion for Gentlemen, Military Officers, Engineers, Architects, Seamen, Surveyors, Usurers, Shopkeepers of all sorts; Artificers, as Masons, Bricklayers, Carpenters, Shipwrights, Watch-Makers, Glaziers, Painters, Plaisterers, &c. By Richard Neve, Philomath. Approv'd of by the Royal Society.
Neve, Richard.Date: 1708