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A26553 Academia scientiarum, or, The academy of sciences being a short and easie introduction to the knowledge of the liberal arts and sciences, with the names of those famous authors that have written on every particular science : in English and Latine / by D. Abercromby ... Abercromby, David, d. 1701 or 2. 1687 (1687) Wing A77; ESTC R6380 46,476 244

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represented by Convex glasses in a streight situation 2. That they see not distinctly through a Convex glass any of those objects that are overturn'd 3. It sheweth the influence of Glasses applied one to another upon our sight Authors Kepler Maurolycus Euclide c. have written of this curious Science Sectio Decima Dioptrica DIoptrica ea Astrologiae pars est quae instrumentis quibusdam distantiam Solis Lunae aliorumque planetarum indagat Eam in genere si spectes praecipuus ejusdem scopus est indicare apparentes visus mutationes objectorumque per vitra optica ut microscopia megaloscopia inspectorum agit de radio fracto hocque primarium hujus scientiae principium est Cum radius lucis progreditur a tenuiore medio ad dentius frangitur versus perpendicularem in superficie spissioris cumque progreditur a medio spissiore ad tenuius deviat a perpendiculari Quod obvio hoc experimento manifestum fit Imaginem aut quodvis aliud conspicuum objectum infundo vasis cujuspiam colloca tum recede donec objectum non amplius appareat Jam si vas hoc aqua impleas oculis se mox imago oggeret Quia radius lucis ab oculo ad fundum vasis porrectus frangitur deorsum in superficie aquae versus Perpendicularem ut idem ad superficiem ascendens ob tenuiorem aerem deviat a perpendiculari versus oculum unde fit ut objectum rursus conspiciendum se praebeat Insuper haec Scientia agit de convexis concavisque vitris quatenus visum aut variare aut juvare possunt Redditque pariter rationem cur ii quos Aristoteles 〈◊〉 〈◊〉 〈◊〉 〈◊〉 〈◊〉 vocat remota distincte videant propinqua confuse cur ii quos 〈◊〉 〈◊〉 〈◊〉 〈◊〉 〈◊〉 dicimus tum remota tum propinqua objecta confuse videant Inter alia pariter docet 1. Eos quos 〈◊〉 〈◊〉 〈◊〉 〈◊〉 〈◊〉 dicimus quaedam videre distincte quae a vitris convexis recto in situ exhibentur 2. Minime eos videre distincte per vitra convexa ullùm eorum objectorum quae eversa sunt 3. Ostendit vitrorum sibi invicem junctorum in visum nostrum operationem Authores Keplerus Maurolycus Euclides c. de curiosa hac Scientia scripsere Sect. XI Moral Philosophy EThica is that Art which directs us how to act always conformably to right reason It s chief principle is this Do as you would be done by It teacheth us that God is our last end because he only is Bonum Sufficiens the Sufficient Good nothing else being able to content us It teacheth likewise that we can never love any thing but under the shew and appearance of Good whereof it offereth three sorts Honour Profit and Pleasure God alone is our Objective Beatitude or Happiness as they speak in the Schools our Formal Beatitude is that operation of the Mind by which we possess God which is the Intuitive Vision or Contemplation of God This Art sheweth that the Internal Principles of Humane Actions are either Natural as Powers or Acquired as Habits That the Understanding moves the Will to act and the Will our Understanding that a Habit being generated by the repetition of Acts giveth the Soul not the real power of acting but only enables it to act more easily Authors Aristotle Seneca Plato Cicero c. Sectio Undecima Ethica seu Moralis Philosophia HAEC ea est ars quae nos ad agendum in omnibus conformiter rectae rationi dirigit Primarium ipsius principium hoc est Quod tibi vis fieri alteri feceris Docet Deum esse ultimum nostrum finem quia ille solus est Bonum Sufficiens cum nihil aliud beatos nos efficere queat Docet pariter nihil nos amare posse nisi sub specie boni cujus triplex genus proponit Jucundum Utile Honestum Beatitudo nostra Objectiva ut loquuntur Scholae solus Deus est Formalis nostra Beatitudo est ea mentis operatio qua Deum possidemus Intuitiva scilicet Dei Visio Hic Habitus docet principia interna actionum humanarum aut esse nobis congenita cujusmodi sunt Potentiae aut acquisita cujusmodi sunt Habitus docet intellectum movere voluntatem ad agendum vice versa habitum actuum repititione productum animae tribuere non ipsam quidem agendi facultatem seu potentiam sed majorem quamdam facilitatem Authores Aristoteles Seneca Plato Cicero c. Sect. XII Geography GEography is the Description of the Earth and its chief Parts Because Geographers talk much of the Longitude and Latitude of a place 't is of some use to know what is meant by these two words The Longitude then of a place or its distance from the East is an Arch of the Equator intercepted between the Semicircle of the first Meridian and the Meridian of the place according to the order of the Signs The Latitude of a place or its distance from the Equinoctial line is the arch of the Meridian intercepted between the Equator and the place proposed being always equal to the elevation of the Pole which is the arch of the Meridian intercepted between the conspicuous Pole and the Horizon because the latitude of a place as likwise the height of the Pole together with the arch of the Meridian intercepted between the Pole the Zenith are equal to the fourth part of the Meridian or the Quadrant The whole World is now divided into four Parts Europe Asia Africa and America Europe is bounded towards the North by the Hyperborean Sea towards the West by the Atlantick Sea and the Herculean by the Streights of Gibraltar and by the Ocean towards the East by the Egean Sea the Hellespont Propontis Bosphorus Thracius the Streights of Caffa the Meotide Lake the River Tanais c. till you come to a little Town called ●uria from whence 't is bounded by a white line till you come to the White Sea The chief Parts of Europe are Germany Spain France Great Britain Switzerland the Low Countries Ireland Denmarck Norway Swedeland Poland Italy Croatia Sclavonia Dalmatia Albania Grecia Thracia Bulgaria Servia Bosnia Russia Hungaria Transylvania Asia is bounded towards the North by the Scythian Sea towards the East by the Sea called Eoum towards the South by the Indian Sea or the Red Sea towards the West by the Arabick Sreights and the Interne Sea Africa is joyn'd to Asia by an Isthme or a narrow piece of Ground dividing two Seas 'T is bounded by several Seas towards the East by the Red Sea towards the South by the Ethiopian Sea towards the West by the Atlantick Sea towards the North by the Interne Sea The chief Parts of Africa we reckon to be those following Barbary Biledulgeride Sarra the Countrey of the Negroes Egypt Ethiopia both superior and inferior the Kingdom of the Abyssins America was wholly unknown to the Antients till about the year 1492 it was discovered by Christopher Columbus a Genoese in
the name of Ferdinand King of Castile 'T is called America from Americus Vespucius a Florentine who the first after Columbus in the Year 1497 under the auspices of the King of Portugal discover'd that Part of it that lyes beyond the Equinoctial line America is divided into two Parts the one Norrhern and the other Southern or the Peruane America they are both divided by an Isthme The Northern America is called the Mexican from its chief City Mexico We know only those Countreys that lye near the shore as Canada the Land of Labrador the adjacent Islands New France or Norimbegra Virginia or Apalchen Florida New Spain New Grenade California Quivira Ananian Jucatan Guatimala Hondura Nicaragna In the Southern America you have Castile the Golden Peru Chili Chica the Countrey of the Pantagons Brasilia Caribana Guiiana Biquiri or the Countrey of the Amazons Paguan Picoram Moxos Uram Charchas Authors Ptolomy the Great Atlas the English Atlas Ortelius Strabo Solinus Pomponius Mela Philipp Cluvier c. Sectio Duodecima Geographia GEographia est descriptio terrae praecipuarumque ejus partium Quia Geographi multum loquuntur de Longitudine ac Latitudine loci utile fuerit scire quid reipsa sint Longitudo itaque loci aut ipsius distantia ab ortu est arcus aequatoris inter semicirculum primi meridiani meridianum loci secundum ordinem signorum interceptus Latitudo loci aut ejusdem distantia a linea aequinoctiali est arcus meridiani interceptus aequatorem inter locum propositum estque semper aequalis elevationi poli quae est arcus meridiani horizontem inter conspicuum polum interceptus quod tam latitudo loci quam elevatio poli cum arcu meridiani inter polum zenith intercepto aequent quadrantem meridiani Totus terrarum orbis nunc dividitur in quatuor partes Europam Asiam Africam Americam Europa terminos habet a septentrione Mare Hyperboreum aut septentrionale ab occidente Mare Atlanticum fretum Herculeum Oceanum ob ortu Mare Aegaeum Hellespontum Propontidem Bosphorum Thracium Bosphorum Cimmerium Lacum Maeotim Tanais fluenta usque ad oppidum Tuia inde lineam rectam ad sinum usque Granduicum seu Mare Album Praecipuae Europae partes sunt Germania Hispania Gallia Magna Britannia Helvetia Belgium Dania Suedia Polonia Italia Croatia Sclavonia Dalmatia Albania Graecia Thracia Bulgaria Servia Bosnia Russia Hungaria Transylvania Asia terminatur versus septentrionem Mari Scythico versus ortum Mari Eoo versus meridiem Mari Indico aut Rubro versus occidentem sinu Arabico Mari Interno Africa Isthmo jungitur Asiae terminos habet varias circum maria ab ortu mare Rubrum a Meridie Aethiopicum ab occasu Atlanticum a septentrione internum Praecipuas Africae partes sequentes numeramus Barbariam Biledulgeridem Sarram Regionem Nigritarum Aegyptum Aethiopiam utramque superiorem inferiorem Regnum Abyssinorum America antiquis prorsus incognita fuit donec sub annum quadringentesimum nonagesimum secundum supra millesinum detecta fuit a Christophoro Columbo Genuensi nomine Ferdinandi Regis Castiliae America dicitur ab Americo Vespucio Florentino qui primus post Columbum anno 1497. sub auspiciis Regis Lusitaniae eam partem continentis detexit quae ultra lineam aequinoctialem jacet America dividitur duas in partes alteram septentrionalem meridionalem alteram aut Peruanam utraque Isthmo dividitur septentrionalis America vocatur Mexicana a praecipua ejusdem civitate Mexico Regiones tantum littoribus adjacentes novimus nempe Canadam terram Laboratoris atque insulas adjacentes Novam Franciam sive Norimbregram Virginiam sive Apalchen Floridam Novam Hispaniam Novam Granatam Californiam Quiviram Ananian Jucatan Guatimalam Honduram Nicaragnem In meridionali America sunt Castilio Aurea Peruvia Chili Regio Pentagonum Brasilia Caribana Guiiana Biquiri Paguam Picoram Moxos Uram Charchas Authores Ptolomaeus Magnus Atlas Ortelius Strabo Solinus Pomponius Mela Philippus Cluverius Sect. XIII Geometry THis Science teacheth us how to Measure the Earth and to set limits to every Mans Lands 't is entirely contain'd in the Fifteen Books of Euclid's Elements The first thirteen are acknowledg'd by all to be undoubtedly of this Author the two last are ascrib'd by some to Hipsicles of Alexandria Euclid's Elements may be divided into four Parts the first Part contain'd in the first six Books treats of Plains the second consisting of the three other following Books searcheth into the properties of Numbers the third Part of Euclid's Elements consisting of the tenth Book only treats of commensurable and incommensurable Lines and lastly the fourth Part comprehending the remaining Books treats of Solids or Bodies The first part of Euclid's Elements is again threefold the first four Books treat of Plains absolutely considered of their equality and inequality the fifth treats of the proportion of Magnitudes in general the sixth sheweth the proportion of plain Figures Geometry may be divided into these three subordinate parts Altimetry Planimetry and Stereometry Altimetry is the Art of measuring streight Lines Planimetry is the Art of measuring Surfaces Stereometry is the Art of measuring Solids or Bodies A line is measured by a line of a known magnitude and a superficies or surface by a square of a known magnitude and Solids are measured by a Cube of a known bulk Authors Euclid Hero Mechanicus Fournierius Malapertius Maginus Clavius Nicolaus Tartalea in Italian Adrianus Metius Samuel Marolois Simon Stevin and Daniel Sant Bech Sectio Decima tertia Geometria HAEC Scientia docet nos qui terram metiamur atque unius cujusque praediis limites praescribamus Integra continetur quindecim Libris Elementorum Euclidis Priores tredecim sine ulla controversia Euclidi ascribuntur ab omnibus posteriores vero duo a quibusdam Hypsicli Alexandrino tribuuntur Elementa Euclidis dividi possunt in quatuor partes quorum prima pars sex prioribus libris contenta agit de planis secunda quae ex tribus sequentibus conflatur affectiones numerorum examinat tertia pars Elementorum Euclidis quae solo libro decimo constat de lineis commensurabilibus ac incommensurabilibus agit quarta denique pars quam residui libri constituunt de solidis aut corporibus disserit Prima pars Elementorum Euclidis rursus triplex est priores enim qua●uor libri agunt de planis absolute spectatis de eorum aequalitate aut inaequalitate quintus disserit de proportionibus magnitudinum in genere sextus planarum figurarum proportiones exponit Geometria dividi potest in has tres partes subordinatas in Altimetriam Planimetriam Stereometriam Altimetria est ars dimetiendi lineas rectas Planimetria est ars dimetiendi superficies Stereometria est ars dimetiendi solida sive corpora Lineas metiuntur lineae notae magnitudinis superficiem metitur quadratum mensurae notae solidaque metitur cubus notae molis Authores Euclides Hero Mechanicus Fournierius Malapertius Maginus Clavius Nicolaus Tartalea