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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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eo paucis compendioque animadverti contineri non veteris modo novaeque Philosophiae Systemata sed omnem fere utilorem alicujus momenti doctrinam flosculosque etiam Eloquentiae selectiores nec non conspicua Pietatis in Deum Fideique in Regem ubique indicia ibi praesertim ubi sub finem operis tuo ipsius Patrisque tui nomine Regis nunc regantis tum Ducis Eboracensis certissimum avitum ad diadema jus spirantibus ubique tuum in ipsum amorem verbis pro officio declaras eoque tempore quo debitae regiae Familiae fidei obedientiaeque declaratio non opportuna tantum sed necessaria omnino videbatur cumque annum jam sextum supra decimum vix implevisses non potui non mirari maturos adeo tuo in hortulo solidae virtutis fructus e quo teneriores tantum adhuc flosculi habita aetatis ratione expectari poterant Dam haec me impellerent ut tuo tractatulum hunc nomini inscriberem novam mihi provinciam imposuerunt ut eum scilicet ad limam denuo revocarem quo jam tuo dignior aspectu quantumvis tibi semper impar faciliorem ad te aditum inveniret Illud tantum sperare mihi liceat ut qui longinquas regiones peragrarunt domum reduces non absque voluptate aliqua exigua eas in Mappa revisunt ita futurum tibi negotiis magis seriis libero non injucundum contemplari varias illas Scientias Artesque quas tanto successu grandioribuse voluminibus conquisitas domi ●orisque foeliciter exercuisti Caeterum licet nihil hic penitius attingam praeter non contemnenda Artium plerarumque ac Scientiarum principia celebriores ubique Authores indico ut ea tibi pluribus subministrent quae paucis tantum proposita mihi brevitas ipseque tractatuli hujusce scopus a me exigebant hac itaque non injucunda scribendi methodo quicquid de opere ipso censeas forte fiet ut concilium meum probes propositam mihi metam eo enim hoc opusculo collimavi ut quidpiam quamvis modicum praeclaris animi tui ornamentis adderem dum interim palam profiteor quam non ficte haberi velim tibi tuoque ubi res feret obsequio addictissimus David Abercromby THE PREFACE BEcause of the shortness of Humane Life and the little leisure of most Men to read large Volumes an accurate and easie method for attaining to a general and yet in some measure sufficient Knowledge of most Arts and Sciences has been long wish'd for but never for ought I know undertaken or at least so compendiously and so usefully performed by any perhaps either at home or abroad For 1. I have set down in these Papers a part of what I judg'd most material in every Science as likewise fittest for every common capacity that so this Treatise may prove of a more general use 2. I have called it the Academy of Sciences because here as in an Academy you may learn most of the noblest Arts and Sciences especially if you peruse often what is offered to you in these few sheets But if you desire to know more though perhaps most Gentlemen will think this enough I have supplied you with good Authors who will give you a further Instruction if you are at leisuure to consult them 3. The Virtuosi are concern'd in this Treatise because it contains an Abridgment of what they have already learn'd together with the Names of the Famed Authors that have treated of the Subject which is no inconsiderable advantage the Learned as well others being sometimes at a loss when they write Books what Authors treat of this or that Subject wherein by having this Treatise at hand they may be soon satisfied I have written it both in English and Latine to gratifie such as understand but one of the said Tongues 4. For methods sake in the order of the Sciences set down here I have followed the Alphabet as far as conveniently I could beginning with those whose first letter of their Names is A and then with those whose first letter is B c. which engag'd me to keep the Greek and Latine Names as the most known and the fittest for this purpose I need not now tell you that this Treatise is of singular use to all sorts of Persons of what condition soever and not to Scholars only but likewise to Masters who have here in a few lines what they may teach such as are committed to their trust yea the very Ladies themselves by the perusal of this Treatise and a little help may be furnish'd with such a variety of Knowledge as may supply their not being bred in Universities PRAEFATIO CUM per humanae vitae brevitatem otiumque ingentia evolvere volumina plerisque hominum non liceat accuratam facilemque methodum qua generalem quis tamen quae aliquatenus sufficiat Artium praecipuarum Scientiarumque notitiam assequeretur diu multumque plurimi exoptarunt quam tamen indigenarum nemo quod sciam aut etiam alienigenarum scribendam adhuc suscepit aut eo saltem quo hic tradita est compendio fructuque forte hactenus conscripsit primo enim quicquid praecipui quavis in Scientia momenti quicquid communem ad captum magis appositum judicavi idcirco adduxi in medium ut eo pluribus tractatulus hic usui foret 2. Academiam Scientiarum inscripsi hic enim velut in Academia Artes plerasque Scientiasque nobiliores discere poteris si praesertim saepius relegas quae breve hoc scriptum tibi proponit At si penitius omnia pluraque scire volueris quamquam nobilium plerique sat multa haec forte existimaturi sint probatos tibi suggessi Authores qui te plura docebunt si quidem per otium eos consulere tibi liceat 3. Jam eos quoque qui ingenuis artibus ingenium excoluere opusculum hoc spectat utpote eorum compendium quae jam didicere complexum celebriorumque propofito super argumento nomina Authorum Quod non exiguae quid utilitatis est cum etiam docti aliquando perinde atque alii nesciant dum libros scribunt quis de hac illave re egerit quod seposito hujuscemodi ad usum hoc libello cito discent Caeterum tum Anglico eum tum Latino idiomate eo consilio scripsi ut ●is inservirem qui alteram linguarum ●llarum non intelligerent 4. Methodi gratia in serie Scientiarum hic exhibita Alphabeti ordinem quantum commode potui secutus sum initio ab iis ducto quarum homina littera A tum ab iis quarum homina littera B inchoat c. unde factum est ut voces Graecas Latinas utpote maxime notas huncque in scopum magis idoneas retinuerim Frustra jam hic subjungerem tractatulum hunc summe utilem fore omni hominum generi aetati conditioni neque discipulis tantum sed Magistris quae hic perpaucis
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