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A42813
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Essays on several important subjects in philosophy and religion by Joseph Glanvill ...
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Glanvill, Joseph, 1636-1680.
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1676
(1676)
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Wing G809; ESTC R22979
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236,661
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346
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advance it further I will not say so much but no doubt he hath performed in it things deserving much acknowledgment of which we shall hear more in another place But I proceed III. To the Consideration of Geometry which is so fundamentally useful a Science that without it we cannot well understand the Artifice of the Omniscient Architect in the composure of the great World and our selves 〈◊〉 〈◊〉 〈◊〉 〈◊〉 〈◊〉 was the excellent saying of Plato and the Vniverse must be known by the Art whereby it was made So that what Galileo notes of Aristotle is a great sign of his defects viz. That he reprehended his Venerable Master for his Geometrical Sublimities accusing him that he receded from the solid Methods of Philosophizing through his too much indulging that Study Which is so far from being likely that Geometry is little less than necessary to solid and real Philosophy And therefore Plato admitted none to his School but those that were acquainted with that Science Which practice the mentioned excellent Modern notes to be directly opposite to the Peripatetick Genius and some he knew great Men of that way dehorted their Disciples from it which he introduceth one applauding as a wise Counsel since Geometry would detect and shame the futilities of that Notional way But not to take too large a compass this is certain That Geometry is a most useful and proper Help in the Affairs of Philosophy and Life 'T is almost as clear from those former intimations that Aristotle was not much enclined that way and we know that his late Sectators have very seldome applied themselves to Geometrical Disquisitions The Result of which is We must expect the Advantages of this Science from the declining of his and their Empire and I need not say expect it they are both in present view And if after this any do require accounts of the Improvements Geometry hath received since the foundation of that Tyranny by the Man of STAGYRA I shall offer the best I have and though I am conscious that they will be scant and defective yet I hope sufficient for my present purpose I note then from the celebrated Vossius That Euclide was the first that brought Geometry into a Method and more accurately demonstrated those Principles which before were scattered among the Greeks and Aegyptians and not so cogently or carefully proved And Proclus reckons this famous Man as the Compiler and Demonstrator not as the Inventor of the Elements and two of these Books viz. 14 15. are ascribed to Apollonius Pergaeus who was his nearest Successor in Fame for Mathematical Abilities This Geometrician improved the Science by four Books of Conicks publish'd of old and three more have been lately in the year 1661. translated out of an Arabick Manuscript in the Duke of Tuscany's Library and are now abroad This Manuscript Jacob Golius procured out of the East Besides which this Magnus Geometra as he was called illustrated Euclide by his Learned Commentary upon him But Archimedes of Syracuse was a Person of the greatest renown for Geometrical and Mechanical Performances concerning which Polybius Valerius Plutarch Livy and others have recorded prodigious things This great Wit carried Geometry from general and idle Speculation to the use and benefit of Mankind whereas before him it was an ancient and perverse Opinion That this Knowledge ought not to be brought down to vulgar Service but kept up in abstractive Contemplations upon which score Archytas and Eudoxus those great Geometricians before Euclide were scared from the Mechanical and Organical Methods to the great hinderance of beneficial Improvements in that way But the excellent Syracusian understood that this Science is not debased but promoted and advanced by such Accommodations and evinc'd the usefulness and excellency of Geometry in his admirable Paradox proposed before King Hieron Datis viribus datum pondus tollere 〈◊〉 〈◊〉 〈◊〉 〈◊〉 〈◊〉 This Mathematician flourish'd 160 years after the time of Aristotle who hath the name of the most Ancient that writ in Mechanicks though that Book of his be not mentioned either by Archimedes Athenaeus Hero or Pappus Mechanical Authors and Cardan and Patricius affirm that Work to be none of Aristotl's Whos 's ever it was the Performance hath praise from the Learned as explaining the general Causes of Mechanical Geometry But Archimedes was more practical and particular And though Plutarch in the Life of Marcellus affirms he writ nothing yet the contrary is abundantly proved by Gerard Vossius who hath shewn that the Books extant under his Name that contain so many great Maxims of Mechanicks are genuine and both Strabo and Pappus mention them as his The Design of Archimedes of combining Mechanism and Geometrick Theary was after happily promoted by Hero the Elder of Alexandria who invented those ingenuous Automata that move by Air and Wires concerning which he writ a Book that was Translated by Fredericus Commandinus as also he did another De Machinis Bellicis by which he well improved Geometrick Meohanicks And Pappus particularly celebrates his exactness in solving the Deliaick Problem De Cubo duplicando acknowledging that he took most of his own Accounts about that Matter from that exquisite Man Next him I mention Theodosius of Tripoli who very much improved Geometry by his three Books De Figura Sphaerica which afforded great assistance to Ptolomy Pappus Proclus and Theon in their Mathematical Endeavours Menelaus also who lived in Trajan's time contributed very much to the perfecting the Doctrine of Sphaericks as Vitellio well knew who was famous for those things which he borrowed from that Author The Performances also of Ctesibius who lived in the time of Ptolomeus Physcon are much celebrated by Plivy He invented many things in Hydraulicks and according to Atheneus he was the first Contriver of Musical Organs These were Mechanical but Geminus Rhodius the Master of Proclus Lycius applyed Logick to Geometry out of particular Elements abstracting Vniversals He demonstrated That there are only Three similar Species of all Lines viz. Right Circular and Cylindrical And Perseus following his steps enrich'd Geometry with the Invention of three kinds of Crooked Lines the Parabole Hyperbole and Elipsis for which he express'd his extatick joy as Thales Pythagoras and Archimedes did upon like occasions in a Sacrifice to the Gods But to be briefer Pappus improved the Sphoericks Theon more methodically digested the Elements of Euclide Serenus Antinsensis discover'd that the Section of a right Cylindre is the same with the Elipsis of a right Cone Copernicus improved the Doctrine of Triangles Ramus corrected and supplied Euclide where his Principles were defective Maurolicus writ first of Secant Lines Clavius much illustrated and promoted the Doctrine of Tangents Secants Triangles Right Lines and Sphaericks besides what he did in his Comment upon Euclide I might mention with These the worthy Performances of Gusanus Pitiscus Snellius Ambrosius Rhodius Kepler Franciseus à Schoten and others who contributed very eminently to the Perfections
and the defence of Christianity against those enemies of the Cross. On these accounts they 〈…〉 Writers notwithstanding the 〈◊〉 and 〈◊〉 with which their Books were loaded to be very useful for a Divine and like to be of more behoof to him than all the tedious volumes of the Schoolmen And some thought it would not be amiss if the Rabbins succeeded in those places which those other Doctors were leaving vacant And now said He I have also given you a Taste of the Genius and Humour of those Divines in some chief parts of Learning And though I have mentioned only some particular sorts yet I do not thereby exclude them from their share in the Languages History and other kinds of knowledg which I have omitted in this account only because their sence of them for the most part was common with the judgment and opinion of other learned Men. I have represented to you their Genius and endeavours not with design as I intimated before to exalt and magnifie them above the other Divines of Bensalem but to shew how the Providence of God over-rul'd those evil times in which those Men were bred and to raise a good and generous Spirit amid the extravagances of an unhappy age and I have thus particularly described their Principles and Practices not to exclude other worthy and Reverend Men with which thanks be to God this Church abounds from the share of acknowments that are due to their pious and excellent Labours but because those Persons are better known to me than any others of our Clergy At this Period of his discourse a Servant came in and with low reverence acquainted the Governor that some Persons of quality were come to speak with him Upon which he rising up told me He was sorry for this interruption but hoped ere long to have the freedom of another opportunity of Conversing with me FINIS Books Published by Mr. Joseph Glanvill THe Way of Happiness represented in it's Difficulties and Encouragements and freed from many popular and dangerous mistakes Catholick Charity recommended in a Sermon before the Lord Mayor and Aldermen of London A Fast Sermon on the Kings Martyrdom Lux Orientalis being a modest Philosophical Enquiry into the Doctrine of Pra-existence A Prefatory Answer to Mr. Henry Stubbs A Further Account of Mr. Stubbs A Letter concerning Aristotle An Apology for some of the Clergy who suffer under false and scandalous Reports on the occasion of the Rehearsal Transprised An Earnest Invitation to the Sacrament of the Lords Supper Seasonable Reflections and Discourses in order to the cure of the Scoffing and Infidelity of a degenerate Age. ESSAYS Philosophical and Theological Books Printed for and Sold by Henry Mortlock at the Phoenix in St. Pauls Church-Yard and at the White Hart in Westminster-Hall A Rational Account of the Grounds of Protestant Religion being a Vindication of the Lord-Arch-Bishop of Canterbury's Relation of a Conference c. from the pretended Answer of T. C. folio Sermons preached upon several occasions with a Discourse annexed concerning the true Reasons of the Suffering of Christ wherein Crellius's Answer to Grotius is considered fol. Irenicum A Weapon-Slave for the Churches wounds In quarto Origines Sacra or a Rational Account of the Grounds of Christian Faith as to the Truth and Divine Authority of the Scriptures and the matters therein contained quarto A Discourse concerning the Idolatry practised in the Church of Rome and the hazard of Salvation in the Communion of it in Answer to some Papers of a Revolted Protestant wherein a particular account is given of the Phanaticisms and Divisions of that Church Octavo An Answer to several late Treatises occasioned by a Book entituled A Discourse concerning the Idolatry practised in the Church of Rome and the hazard of Salvation in the communion of it the first Part Octavo A second Discourse in vindication of the Protestant Grounds of Faith against the pretence of Infallibility in the Roman Church in Answer to the Guide in Controversie by R. H. Protestancy without Principles and Reason and Religion or the certain Rule of Faith by E. W. with a particular enquiry into the Miracles of the Roman Church Octavo An Answer to Mr. Cresy's Epistle Apologetical to a Person of Honour touching his Vindication of Dr. Stillingfleet Octavo All written by Edw. Stillingfleet D. D. Chaplain in Ordinary to his Majesty The Rule of Faith or an Answer to the Treatise of Mr. J. S. entituled Sure-Footing c. by John Tiâ—…lotson D. D. Preacher to the Honourable Society of Lincolns-Inn To which is adjoyned a Reply to Mr. J. S. his third Appendix c. by Edw. Stillingfleet D. D. Chaplain in Ordinary to his Majesty Knowledge and Practice Or a plain Discourse of the chief things necessary to be known believed and practiced in order to Salvation By. S. Cradock Quarto a Book very useful for Families The Remains of Sir Walter Rawleigh in Twelves A Discourse of War and Peace by Sir Robert Cotton in Octavo The Moral Philosophy of the Stoicks in Octavo Hodders Arithmetick Twelves The Triumphs of Rome over despised Protestancy Octavo The Original of Romances Octavo The Advice of Charles the Fifth Emperor of Germany and King of Spain to his Son Philip the Second upon resignation of his Crown to his said Son Twelves Observations upon Military and Political affairs by the Right Honourable George Duke of Albemarle Folio Published by Authority A Fathers Testament by Phineahs Fletcher in Octavo A Sermon preached before the King January 30. 1675. by Greoge Sâ—…radling D. D. Dean of Chichester and one of his Majesties Chaplains in Ordinary A Sermon preached before the King May 9. 1675. by John Sadbâ—…ry D. D. Dean of Durham and Chaplain in Ordinary to his Majesty The Reformation Justified in a Sermon preached at Guild Hall Chappel September 21. 1673. before the Lord Mayor and Aldermen c. upon Acts 24. 14. A Sermon preached November 5. 1673. at St. Margarets Westminister upon St. Matthew 7. 15 16. A Sermon preached before the King February 24. 1675. upon Heb. 3. 13 These three last by Edw. Stâ—… D. D. Chaplain in Ordinary to his Majesty Books Printed for and Sold by John Baker at the three Pidgeons in St. Pauls Church-Yard DUPORT in Psalmos 4. Greek and Latine Cantabrigiae 4. Idem in Psalmos 4. Grace in Homer 4. Grace Latine Beveridge Grammatica Orientalis 8. Gore Nomenclator Geograph 8. Seldeni Eutichyus 4. Arab. Lat. Ailsbury de Decreto Dei 4. Dionysius de Situ Orbis 8. Grace Comenii Janua 8. Lat. cum Figu Confessio Fideâ—… 8. Doughtei Analecta Sacra 8. p. s. 23. Ignoramus 12. Vossii Elementa Rhetorica 8. Elegantiae Poeticae 12. Exaletation of Ale 8. Comenii Vestibulum 8. Lat. Eng. Pasoris Lexicon 8. Gr. Lat. Quintiliani Orationes 8. Glanvil on the Sacrament 12. Burroughs Remedy against Grief 12. bound together Directions about Death 12. bound together Emperor Augustus's speeches to the Married and Unmarried Dr. Meggots Sermon before St. Pauls Scholars on St. Pauls day 1675. A Visitation Sermon before the Lord Bishop of Ely by Timothy Parker at Lewis in Sussex Praeces scholae Paulinae 8. Lat. Eng. Where are Sold all sort of Forreign Books and School-Books FINIS