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A89305 Horlogiographia optica. Dialling universall and particular: speculative and practicall. In a threefold præcognita, viz. geometricall, philosophicall, and astronomicall: and a threefold practise, viz. arithmeticall, geometricall, and instrumentall. With diverse propositions of the use and benefit of shadows, serving to prick down the signes, declination, and azimuths, on sun-dials, and diverse other benefits. Illustrated by diverse opticall conceits, taken out of Augilonius, Kercherius, Clavius, and others. Lastly, topothesia, or, a feigned description of the court of art. Full of benefit for the making of dials, use of the globes, difference of meridians, and most propositions of astronomie. Together with many usefull instruments and dials in brasse, made by Walter Hayes, at the Crosse Daggers in More Fields. / Written by Silvanus Morgan. Morgan, Sylvanus, 1620-1693.; Goddard, John, fl. 1645-1671, engraver. 1652 (1652) Wing M2741; Thomason E652_16; ESTC R202919 57,946 133

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Hyperbolicalline in plants of Dyals or other by Spirall lines Cylinder Cone c. Pneumatithmie demonstrating by close hollow figures Geometricall the strange properties of motion or stay of water ayr smoak fire in their continuity Menadrie which demonstrateth how above natures vertue and force power may be multiplyed Hypogeodie being also a child of Mathematicall Arts shewing how under the sphaericall superficies of the earth at any depth to any perpendicular assigned to know both the distance and Azimuth from the entrance Hydragogie demonstrating the possible leading of water by Natures law and by artificiall help H●rometrie or this present work of Horologiographia of which it is said the commodity thereof no man would want that could know how to bestow his time ●ographie demonstrating how the intersection of all visuall Pyramids made by any plane assigned the center distance and lights may be by lines and proper colours represented Then followed Architecture as chief Master with whom remained the demonstrative reason and cause of the Mechanick work in line plane and solid by the help of all the forementioned Sciences Thaumaturgike giving certain order to make strange works of the sence to be perceived and greatly to be wondred at Arthemeastire teaching to bring to actuall experience all worthy conclusions by the Arts Mathematicall While I was busied in this imployment which indeed is my calling I questioned Caliopie why she put the note of Illegitimacy upon Astrologie she said it indeed made Astronomy her father but it was never owned to participate of the inheritance of the Arts and therefore the Pedegree doth very fitly say doth reasonably not quasi Intellectivè but Imperfectivè then did I ask again why Arithmetick had the distinction of an elder brother the Labell she told me because it was the unity of units and hath three files united in one Lambeaux and did therefore signifie a mystery then said I why do you represent magnitude by the distinction of a second Brother to which she said because as the Moon so magnitude in increasing or decreasing is the same in reason then did she being the principall of the nine Muses and Goddesse of Heralds summon to Urania and so to all the other to be silent at which silence was heard Harmonicon Coeleste by the various Motions of the Heavens and Fame her Trumpeter sounded forth the praise of men famous in their generation and concluded with the Dedication and Consecration of the Court of Arts in these words of the learned Vencelaus Clemens Templum hoc sacrum est Pietati Virtuti Honori Amori Fidei semi Deûm ergò Coelo Ductum genus vos magni minoresque Dei Vos turba ministra Deorum vos inquam Sancti Davides magnanimi Hercules generosi Megistanes Bellicosi Alexandri gloriosi Augusti docti Platones Facundi Nestores imici Jonathanes fidi Achatae Uno verbo boni Huc adeste praeiste prodeste Vos verò orbis propudia Impii Holophernes dolosi Achitopheles superbi Amanes Truculenti Herodes proditorus Judae impuri Nerones Falsi Sinones seditiosi Catilinae apostatae Juliani Adeoque quicunque quacunque quodcunque es Malus mala malum exeste Procul hinc procul ite prophani Templi hujus Pietas excubat antefores Virtute Honore vigilantibus Amore fide assistentibus Reliqua providente aedituo Memoria Apud quam nomin● profiteri Fas Jura sin●nt Quantum hoc est tantum Vos caetera quos demisse compellamus praestabitis Vivite vincite valete Favete Et vos ô viri omnium ordinum Dignitatum Honorum spectatissimi amplissimi christianissimi c. Which being done the Muses left me and I found my self like Memnon or a youth too forward who being as the learned Sir Francis Bacon saith animated with popular applause did in a rash boldnesse come to incounter in single combate with Achilles the valiantest of the Grecians which if like him I am overcome by greater Artists yet I doubt not but this work shall have the same obsequies of pitty shed upon it as upon the sonne of Aurora's Bright Armour upon whose statue the sun reflecting with its morning beames did usually send forth a mourning sound And if you say I had better have followed my Heraldry being it is my calling henceforth you shall find me in my own sphear FINIS ☞ ☞
HOROLOGIOGRAPHIA OPTICA Dialing Universall and perticuler Speculatiue and Practicall together with the discription of the Courte of Arts by a new Method By Sylvanus Morgan JJ. sculp Horologiographia Optica DIALLING Vniversall and Particular Speculative and Practicall In a threefold PRAECOGNITA viz. Geometricall Philosophicall and Astronomicall and a threefold practise viz. Arithmeticall Geometricall and Instrumentall With diverse Propositions of the use and benefit of shadows serving to prick down the Signes Declination and Azimuths on Sun-Dials and diverse other benefits Illustrated by diverse Opticall Conceits taken out of Augilonius Kercherius Clavius and others LASTLY TOPOTHESIA OR A feigned description of the COVRT OF ART Full of benefit for the making of Dials Use of the Globes Difference of Meridians and most Propositions of ASTRONOMIE Together with many usefull Instruments and Dials in Brasse made by Walter Hayes at the Crosse Daggers inMore Fields Written by Silvanus Morgan LONDON Printed by R W. Leybourn for Andrew Kemb and Robert Boydell ● and are to be sold at St Margarets Hill in Southwark and at the Bulwark neer the Tower 1657. TO WILLIAM BATEMAN Esqrs. TO ANTHONY BATEMAN Esqrs. TO THOMAS BATEMAN Esqrs. Sons to the late Honourable THOMAS BATEMAN Esq Chamberlain of LONDON Deceased GENTLEMEN YOur late Father being a Patron of this Honourable City doth not a little invite me to you though young yet to patronise no less then the aspiring of Coelum which as the Poets feign was the ancientest of the gods and where you may see Sol only of the Titans favouring Jupiters signe and by their power and operation hath established Arts or Learning the fable rather according to that establishment which God hath given them they are I say sought out of those that take their pleasure therein Pardon my boldness I beseech you if like Prometheus I have made a man of clay and now come to light my bundle of twigs at the Chariot of the Sun desiring that you would infuse vigor in that which cannot at all move of it self if your benevolence shall but shine upon it the angles of incidence reflection shall be all one your love invites me to be so bold as to think you worthy of my labour wherein if faults shall arise in the Cuspis of the Ascendent they shall also have their fall upon my selfe And if any shall be offended at this Worke my device shall be a Dyall with this Mottoe Aspicio ut aspiciar only to all favourers of Art I am direct erect plaine as I am Gentlemen to you and desire to be Yours in the best of my services S. M. TO THE READER REader I here present thee with some Coelestiall operations drawn from the Macrocosmall World if I should tel you of plurality it may seem absurd but I 'le distinguish the word Mundus the World is somtimes taken Archtypically and so is God only in whose divine minde is an example of all things Mundus the World is somtimes taken Angelicall and this is the Hierarchicall government of Angels in Ceruphins Cherubins and Thrones Mundus the World is somtimes taken elementary and this is the Philosophers common place the Salamander in Fire the Birds in Air the Fish in Water and Men and Beasts on Earth Somtimes Macrocosmally considering the whol Universe as well Aetheriall as Subterene yea and every Orb and this is imaginarily set down in the Praecognita Astronomicall Somtimes Microcosmally as in the little World man and this is described in the last Chapter of the Praecognita Philosophicall Somtimes Typically and that either Geographicall or Gnomonicall or mentally in the minde of the workman Geographically in Maps or Globes or Sphears in plano Gnomonicall in this present Art of Dialling of which it may be said that Umbra horas Phoebi designat climate nostro Nodus quod signum Sol tenet arte docet And by which they must necessarily trace out our times by the orbiculation of the Rady of the circle of the body of the Sunne Again the World is mentally considered in the minde of an Artist as in Painting Graving Carving c. But having thus defined the word you may think from hence that I am with Democrates Platonissans acquainting thee with infinity of Worlds and in his words Stanza 20. and To speake out though I detest the Sect Of Epicurus for their manner vile Yet what is true I may not well neglect Of truths incorruptible ne can the stile Of vicious pen her sacred worth defile If we no more of truth should deign to speak Then what unworthy mouthes did never soyle No truths at all mongst men would finde a place But make them spéedy wings back to heaven apace Howsoever thou hast here a field large enough to walke in which if thou affect the light thou mayst trace out the truth and I presume I have done that for thee who art a learner the most plain wayes that were ever published and have studyed not to make it the Art of shadows so much as the shadow of that art whose Gnomons may be said to touch the Poles and whose planes may be severall Planispheres a Scale to the Geometrician a Pole to the Navigator a Chart to the Geographer a Zodiaque to the Astronomer a Table of Houses to the Astrologian the Meridian and Needle to the Surveyor a Dyall to us all to put us in minde of that pretious time which saith to us Fugio Fuge and which time shall be swallowed up of Eternity when there shall be but one day without Tropicall distinctions where thou shalt not need helps from any other nor from me who am thine S. M. In Solarium HIc tibi cum numero spectantur Nodus umbra Quae tria quid doceant commemorare libet Umbra notat dextrè quota cursitet hora dici Hincque monet vitam sic properare tuam Ast in quo signo magni lux publica mundi Versetur mira nodulus arte docet Si vis scire dies quot quilibet occupet horas Id numerus media sede locatus habet On my Friend Mr. Silvanus Morgan his Book of Dialling THe use of Dials all men understand To make them few I am one of those I am not of the Mathematick Band Nor know I more of Vers then Vers from Prose But though nor Diallist I am nor Poet I honour those in either doe excell Our Author 's skill'd in both alike I know it Shadows and Substance here run parallel Consider then the pains the Author took And thank him as thou benefit'st by 's Book Edward Barwick On the Author and his Book DAres Zoil or Momus for to carp at thee And let such Ideots as some Authors be Boldly to prosecute or take in hand Such noble subjects they not understand Only for ostentation pride or fame Or else because they 'd get themselves a name Like that lewd fellow who with hatefull ire Flinch'd not but set Diana's Court on fire His
Assentional difference 6 The sine of the difference of assention Tang. decli. sun sine 90 Tangent complement of the elivation 7 Sine altitude of the sun sine declina of the sun sine 90 Elevation of the pole 8 Sine 90 sine com of distance from 6 sine com declination of the sun sine comp. of the altitude sun 9 Sine 90 sine eleva pole sine alti of a star sine decli. of that star 10 The sine of a stars altitude in an east Azimuth sine amplitude ortive sine 90 sine of the elevation 11 The greatest meridian altitude the lesse substracted sines the distance of the Tropicks whose halfe distance is the greatest declination of the sun which added to the least meridian altitude or substracted from the greater leavs the altitude of the Equator the complement whereof is the elevation of the pole 12 Tang. eleva pole sine 90 Tang. decli. of the sun to the co-sine of the hour from the meridian when the sun will be due east or west By these Propositions said Astronomy you may much benifit your selfe but let us now go see the Court of Art I liked the motion and we went and behold the sight had like to made me a Delinquent for I saw nought but a poor Anatomy sitting on the earth naked exposed to the open Ayre which made me think on the hardnesse of a Child of Art that it had neither house nor bed and now being at a pitch high enough resolve never to follow it this Anatomy also it seems was ruled by many both Rams and Buls and Lions for he was descanted thus on Anatomy why do'st not make thy moane So many limbes and yet can'st govern none Thy head although it have a manly signe Yet art thou placed on watry feminine 'T is true yet strong but prethee let me tell yee Let not the Virgin always rule your belly For what although the Lion rule your heart The weakest vessell will get the strongest part Then be content set not your foot upon A slippery fish that 's in an instant gone A slippery woman who at Cupids call Will slip away and so give you a fall And if Rams horns she do on your head place It is a dangerous slip may spoil your face Here at I smiled then said Astronomy what is your thought then said I do men or Artists so depend on women as that their strength consists in them she said I misunderstand him for the Ram that rules the head is a signe masculine because it is hot and dry the Fish that rules the feet is cold and moist is therefore called feminine Pisces the Fish you know's a watery creature 'T is slippery and shews a womans nature So women in their best performance fail There 's no more hold then in a Fishes tail But the more to affect the beholder I will typigraphe this Court of Art Under was written these lines to shew mans misery by the fall which I will deliver you as followes When Chaos became Cosmos oh Lord than How excellent was Microcosmus Man When he was subject to the Makers will Stars influence could no way worke him ill But since his fall his stage did open lye And Constellations work his destiny Thus man no sooner in the World did enter But of the Circumference is the Center And then came in Vertue making a speech and said Honour to him that honour doth belong You stripling Artist coming through this throng Have found out Vertue that doth stand to take You by the hand and Gentleman you make For Geometry I care not who doth hear it May bear in shield Coat Armor by his merit We respect merit our love is not so cold We love mens worth not in love with mens gold Not Herald-like to sel an Armes we give Honour to them that honourably live The noble Professours of the Sciences may bear as is here blazoned viz. the field is Jupiter Sun and Moon in conjunction proper in a chief of the second Saturn Venus Mercury in trine or perfect amity and Mars in the center of them Mantled of the Light doubled of the night and on a wreath of its colours a Helitropian or Marigold of the colour of Helion with this Motto Quod est superius est sicut inferius then did I desire to know what did each Planet signifie in colour she then told me as followeth ☉ Or Gold ☽ Argent Silver ♂ Gules Red ♃ Azure Blew ♄ Sable Black ♀ Vert Green ☿ Purpre Purple And by mantled of Light she meant Argent and of the night she meant an Azure mantle powdered with Estoiles or Stars Silver I indeed liked the Blazon and went in where also I found a fair Genealogie of the Arts proceeding from the Conjunction of Arithmetick and Geometry collected by the famous Beda Dee in his Mathematicall Praeface Both number and magnitude saith he have a certain originall seed of an incredible property of number a unit of magnitude a point Number is the union and unity of Unites and is called Arithmetick ☽ Magnitude is a thing Mathematicall and is divisible for ever and is called Geometry Geodesie or Land measuring Geographia shewing wayes either in spherick plane or other the scituation of Cities Towns Villages c Chorographia teaching how to describe a small proportion of ground not regarding what it hath to the whole c. Hydrographia shewing on a Globe or Plane the analogicall description of the Ocean Sea-Coasts through the world c. N●vigation demonstrating how by the shortest way and in the shortest time a sufficient Ship betweene any two places in passages navigable assigned may be conducted c. Perspective is an art Mathematicall which demonstrateth the properties of Radiations direct broken reflected Astronomie demonstrates the distance of magnitudes and naturall motions apparances and passions proper to the Planets and fixed stars Cosmographie the whole perfect description of the heavenly also elementall part of the world their homologall mutuall collation necessary Stratarithmetrie is the ki●● appertaining to the War●● to set in figure any number of men appointed differing from Tacticie which is the wisdome foresight Musick saith Plato is sister to Astronomie is a Science Mathematicall which teacheth by sence reason perfectly to judge order the diversity of sounds high low Astrologie severall from but an off-spring of Astronomie which demonstrated reasonably the operation and effects of the naturall beams of light and secret influence of the Stars Statick is an Art Mathematicall demonstrating the causes of heavinesse and lightnesse of things ●●thropographie being the description of the number weight figure s●●uation and colour of every diverse thing conteined in the body of man Trochilike descended of number and measure demonstrating the properties of wheel or circular motions whether simple or compound neer Sister to whom is Holicosophie which is seen in the describing of the severall conicall Sections and