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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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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
name will last and be in memory From age to age although for infamie What more abiding Tombe can man invent Then Books which if they 'r good are permanent And monuments of fame the which shall last Till the late evening of the World be past But if erroneous sooth'd with vertues face Their Authors cridit's nothing but disgrace If I should praise thy Book it might be thought Friends will commend although the work be nought But I 'le forbeare lest that my Verses doe Belie that praise that 's only due to you Good Wiue requires no Bush and Books will speak Their Authors credit whether strong or weak W. Leybourn ERRATA REader I having writ this some years since while I was a childe in Art and by this appear to be little more for want of a review hath these faults which I desire thee to mend with thy pen and if there be any errour in Art as in Chap. 17 which is only true at the time of the Equinoctiall take that for an oversight and where thou findest equilibra read equilibrio and in the dedication in some Copies read Robert Bateman for Thomas and side for signe and know that Optima prima cadunt pessimas aeve manent pag. line Correct ● 10 equall lines 18 16 Galaxia 21 1 Galaxia 21 8 Mars 24 12 Scheame 35 1 Hath 38 8 of the Tropicks polar Circles 40 22 AB is 44 31 Artificiall 46 ult heri 49 4 forenoon 63 29 AB 65 11 6 80 16 BD 92 17 Arch CD 9 ult in some copies omit center 126 4 happen 126 6 tovvard B 127 26 before 126 prop. 10 for sine read tang elev   Figure of the Dodicahedron false cut pag. 4 LF omitted at end of Axis 25 For A read D 26 In the East and West Diall A omitted on the top of the middle line C on the left hand B on the right 55 Small arch at B omitted in the first polar plane 58 For E read P on the side of the shadowed line toward the left hand I omitted next to M and L in the center omitted 81 K omitted in figure 85 On the line FC for 01 read 6 for 2 read 12 line MO for 15 read 11 96 A small arch omitted at E F G H omitted at the ende of the line where 9 is 116 I L omitted on the little Epicicle 122 THE ARGVMENT OF THE Praecognita Geometricall and of the Work in generall WHat shall I doe I stand in doubt To shew thee to the light For Momus still will have a flout And like a Satyre bite His Serpentarian tongue will sting His tongue can be no slander He 's one to wards all that hath a fling His fingers ends hath scan'd her But seeing then his tongue can't hurt Fear not my little Book His slanders all last but a spurt And give him leave to look And scan thee thorough and if then This Momus needs must bite At shadows which dependant is Only upon the light Withdraw thy light and be obscure And if he yet can see Faults in the best that ever writ He must finde fault with me How ere proceed in private and deline The time of th' day as oft as sun shall shine And first define a Praecognitiall part Of magnitude as usefull to this art THE PRAECOGNITA GEOMETRICAL THe Arts saith Arnobius are not together with our mindes sent out of the heavenly places but all are found out on earth and are in processe of time soft and fair forged by a continuall meditation our poor and needy life perceiving some casual things to happen prosperously while it doth imitate attempt and try while it doth slip reform and change hath out of these same assiduous apprehensions made up small Sciences of Art the which afterwards by study are brought to some perfection By which we see that Arts are found out by daily practice yet the practice of Art is not manifest but by speculative illustration because by speculation Scimus ut sciamus we know that we may the better know And for this cause I first chose a speculative part that you might the better know the practice and therefore have first chose this speculative part of practicall Geometry which is a Science declaring the nature quantity and quality of Magnitude which proceeds from the least imaginable thing To begin then A Point is an indivisible yet is the first of all dimension it is the Philosophers Atome such a Nothing as that it is the very Energie of all things In God it carryeth its extreams from eternity to eternity in the World it is the same which Moses calls the beginning and is his Genesis 't is the Clotho that gives Clio the matter to work upon and spins it forth from terminus à quo to terminus ad quem in the Alphabet 't is the Alpha and is in the Cuspe of the Ascendant in every Science and the house of Life in every operation Again a Point is either centricall or excentricall both which are considered Geometrically or Optically that is a point or a seeming point a point Geometrically considered is indivisible and being centrall is of magnitude without consideration of form or of rotundity with reference to Figure as a Circle or a Globe c. or of ponderosity with reference to weight and such a point is in those Balances which hang in equilibra yet have one beam longer than the other If it be a seeming point it is increased or diminished Optically that is according to the distance of the object and subject 'T is the birth of any thing and indeed is to be considered as our principall significator which being increased doth produce quantity which is the required to Magnitude for Magnitude is no other then a continuation of Quantity which is either from a Line to a plain Superficies or from a plain Superficies to a Solid Body every of which are considered according to the quantity or form The quantity of a Line is length without breadth or thicknesse the forme either right or curved The quantity of a Superficies consisteth in length and breadth without thicknesse the form is divers either regular or irregular Regular are Triangles Squares Circles Pentagons Hexagons c. An equilaterall Triangle consisteth of three right lines as many angles his inscribed side in a Circle contains 120 degrees A Square of four equall right lines and as many right angles and his inscribed side is 90 degrees A Pentagon consisteth of five equall lines and angles and his inscribed side is 72 degrees of a Circle A Hexagon is of six equall lines and angles and his side within a Circle is 60 degrees which is equall to the Radius or Semidiameter An Angle is the meeting of two lines not in a streight concurring but which being extended will crosse each other but if they will never crosse then they are parallel The quantity of an angle is the measure of the part of a Circle