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Bartsch’s Open Letter to Kepler, 1628

Jacob Bartsch, “Bartsch's Open Letter to Kepler, 1628,” Nova Kepleriana 4, 1628, 92–95, transcribed in Plain Old Text, https://sources.vjbe.net/stable/cbvzd.

Part of Die Keplerbriefe auf der Nationalbibliothek und auf der Sternwarte in Paris

English · Latin · Both

Source: The front matter of Jacob Bartsch's Motuum Coelestium Ephemeris Nova Tychonico-Kepleriana … ad Annum MDCXXIX ex Tabulis Rudolphinis … supputata (Leipzig, 1629), the first ephemeris computed from Kepler's Rudolphine Tables: its dedication to the University of Strasbourg, dated 1 September 1628, and Bartsch's open letter to Kepler that follows it. Kepler's reply, dated 6 November 1629, appeared in the third part of his own Ephemerides. Printed in extracts in Nova Kepleriana 4, ed. Walther von Dyck and Max Caspar, Abhandlungen der Bayerischen Akademie der Wissenschaften, Math.-naturw. Abteilung 31, no. 1 (Munich, 1927), 92–95.

Transcribed from: the page images of the 1927 printing, not from the 1629 edition.

Only the Latin is given; the editors’ German introduction and notes are left out. The 1927 edition prints only extracts, and the omission marks (…) are the editors’; where they summarise a left-out passage in German, this is marked […]. Spaced type is given in italics.

English translation of the Latin extracts printed in Nova Kepleriana 4 (1927), made for Plain Old Text. Each paragraph translates the corresponding extract of the original; the omission marks (…) are the 1927 editors’, and […] marks a passage they summarised in German. Italics follow the editors’ spaced type.

Ad illustrem Alsatiae Studiorum Universitatem Academicam Straßburgum.

To the illustrious Academic University of Studies of Alsace at Strasbourg.

Salutem et Incolumitatem omnimodam ab Astrorum, Coelorumque Conditore, Motore, Conservatore Deo ter maximo ter optimo.

Greetings, and safety in every way, from God, thrice greatest and thrice best, the Founder, Mover and Preserver of the stars and the heavens.

Annus fere jam agitur, viri Domini, quo ex media Germania nostra prodiit tamdiu desideratum Tabularum Rudolphi Astronomicarum opus; opus sane, si quod aliud, cedro perdignum, et auro contra charum; sive primorum ejus promotorum, puta, Divi Rom. Imp Rudolphi II. a quo nuncupatae, tum Friderici II. Dani, cujus subsidiis inceptae sunt, Caesareas ac Regias impensas, et in hac arte delitias; sive diuturnos et infinitos multorum labores, sumtusque, mechanicos pariter ac librarios, praecipue primi authoris, generosissimi Danorum, Tychonis Brahe per XXXVIII. annos observationum vigilias, et diligentiam inaestimabilem; sive novas in eo inventiones, et computationum ad XXVI. annos protractam cum foenore perfectionem, puta Germanorum Clarissimi Dn. Joh. Kepleri, III. ordine Impp. Mathematici, hypotheses causarum physicarum novas, et absolutam calculi jam perennis editionem; sive aliorum nostri temporis litterati Astronomorum desiderium et suffragium eximium; sive tandem, quae res est ipsa, consummatam artis sideralis, ubique ruinam minantis, restitutionem, motuumque coelestium erroneorum instaurationem perfectam, pene dixerim ultimam, aequa lance perpendat aequus harum rerum supra nos positarum aestimator.

It is now almost a year, gentlemen, since there came out of the heart of our Germany the long-desired work of the Rudolphine astronomical Tables: a work, if ever there was one, well worth preserving in cedar oil, and worth its weight in gold. So a fair judge of these things set above us will find, weighing in an even balance: the imperial and royal expense, and delight in this art, of its first promoters, the late Roman Emperor Rudolf II, after whom it is named, and Frederick II of Denmark, with whose support it was begun; the long and endless labours and costs of many, in instruments and in books alike, above all the thirty-eight years of night-watches, and the priceless diligence, of its first author, the most noble of the Danes, Tycho Brahe; the new discoveries in it, and the perfecting of its computations, drawn out over twenty-six years and repaid with interest, by the most famous of the Germans, Mr Johannes Kepler, Mathematician to three Emperors in turn,Rudolf II, Matthias and Ferdinand II. with his new hypotheses of physical causes and his edition of a calculation now complete and lasting; the longing and the outstanding approval of the other learned astronomers of our time; or finally, what the thing itself is, the accomplished restoration of the art of the stars, which everywhere threatened ruin, and the perfect, I might almost say final, reform of the errant celestial motions.

Quibus utique et ego permotus rationum illecebris, pluribus abhinc annis, quibus Astronomica Medicis admixta tracto, veteris erronei calculi taedio, easdem Tabulas avide semper exspectavi; et ex eo tempore, quo ab Autore ipso donatas accepi, pro tenuitate mea tentavi, non tantum novarum hypothesium physicarum rationem in ipsis Planetarum motibus addiscere, sed novum etiam calculi Logarithmici compendiosioris modum exercere: Unde factum, ut per proximum hoc semestre (quo Mars publicum patriae statum militibus, privatum Saturnus Parentis obitu, non parum perturbavit) relictis ad tempus aliis, nova coelestium speculatione animum recrearem, oculosque supernis intentos ordinibus, a terrenis turbis subinde abducerem. Quo in negotio satis negotioso, his magis magisque implicitus, illis sensim sensimque extricatus, tentatum unum atque alterum ex voto feliciter cessit, ita ut praeter meam (mehercule) intentionem primam, primum forte ex Rudolphinis editis editum foetum rudem chartis exciperem; quem postea lambendo vividiorem factum, cur in publicum emittere, cur hac nova forma vestitum videri voluerim, sequens Praefatio duplex, fusius clariusque dicet.

Moved by these attractions of reason, I too, in the many years in which I have handled astronomy mixed with medicine, weary of the old erroneous calculation, have always awaited these Tables eagerly; and since the time I received them as a gift from the Author himself, I have tried, so far as my slender powers allow, not only to learn the reasoning of the new physical hypotheses in the very motions of the planets, but also to practise the new and shorter method of logarithmic calculation. So it came about that during this past half-year (in which Mars greatly disturbed the public state of my country with soldiers, and Saturn my private state with my father’s death), putting other things aside for a time, I refreshed my mind with this new study of the heavens, and drew my eyes, intent on the orders above, away from the turmoil of the earth. In this busy business, entangled more and more in the one and freed little by little from the other, I tried one thing and another, and they came out happily as I wished; so that, beyond my first intention (by Hercules!), I caught on paper what is perhaps the first rough offspring born of the published Rudolphine Tables. Why, after licking it into livelier shape, I wanted to send it out in public, and to have it seen dressed in this new form, the twofold preface that follows will tell more fully and clearly.

Eum sane Uraniburgum, metaphorico, modeste tamen intelligendo vocabulo, nominare placuit: quippe ut ex Uraniburgo, Astronomiae sede Tychonica, quam maximo apparatu in insula freti Sundici Huenna hos ad usus construxit Braheus, coelestium motuum observationes, exque his Tabularum Rudolphinarum fundamenta desumta sunt: ita ex hoc Astro-poecilo-pyrgio Kepleriano, sive Ephemeride Tychonico-Kepleriana, siderum ibi observatorum loca, certo tempori assignata, tanquam e coelo, praevidere, eorumque configurationes praedicere potest etiam minus exercitatus in hoc studiorum genere. Eundem vero Straßburgicum cognominare libuit, quod Meridiano vestro quoad Aspectuum tempora praecipue superstructum istud Uraniburgum, ex Tychonis et Kepleri (ut dixi) fundamentis exstructum, sub vestro nomine, cum Artis hujus cultoribus sine ostentatione ulla communicatur. …

I have chosen to call it Uraniburg, a metaphorical word, but to be understood modestly: for just as the observations of the celestial motions, and from them the foundations of the Rudolphine Tables, were taken from Uraniburg, Tycho’s seat of astronomy, which Brahe built at enormous expense for these purposes on the island of Hven in the Sound; so from this Keplerian Astro-poecilo-pyrgium, or Tychonic-Keplerian Ephemeris, even someone less practised in this kind of study can foresee, as if from the sky, the places of the stars observed there, assigned to definite times, and predict their configurations. And I chose to give it the surname of Strasbourg, because this Uraniburg, built (as I said) on the foundations of Tycho and Kepler, is set above all on your meridian as to the times of the aspects, and is shared under your name, without any display, with those who cultivate this art. …

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Ad Excellentiss. Mathemat. Caes. Clar. Virum Dn. Johannem Keplerum, etc. Praeceptoris instar venerandum.

To the most excellent Imperial Mathematician, the famous Mr Johannes Kepler, etc., to be revered as a teacher.

Quod ego saepe doleo, Vir praeclarissime, Fautor observande, mirari te saepius suspicor; non tam quod ante annum fere, vicinorum locorum conjunctio, coram colloquendi occasionem denegabat, quam quod per annum jam dissitorum longius incognita absentia, literarum etiam colloquium prorsus sustulit. Ut tamen hoc brevi compensatum iri credo, ita illud Ulmae ante triennium mihi obtigisse gaudeo. Quippe tunc temporis Italiae Patavium petituro, in transitu pauca quidem, sed grata tecum loqui concedebatur; ante annum vero reducem me Augusta Vindelicorum, ut nosti, Uranographiae Christianae Schillerianae posthumae perficiendae propositum, Te Ulmae Svevorum vicinae Tychonici Tabularum Rudolphinarum operis impressio tenuit occupatum; donec finitis eodem tempore amborum operis, tuus Francofurtum versus, meus in patriam improvisus abitus, omnem hactenus sive literis, sive coram de rebus Astronomicis colloquendi occasionem intercepit. Licet enim ex eo tempore, bis Pragam, semel Ulmam, hinc literas ad Te pertinentes misi, aliasque inquirendi passim occasiones non neglexi: Praga tamen alterae absentiae, alterae discessus tui nunciae redierunt ad manus meas, Ulma nihil; nec, ubi locorum degeres, antea rescivi, quam superioribus diebus, Excellentissimus Lipsensium Prof. Mathematicus, Dn. Licent. Philip. Müllerus, Praeceptor meus nunquam satis honorandus, certior hac de re factus me monuit, Uraniae tuae gratias Silesiam nostram posthac inhabitaturas et illustraturas esse. Qua de re Tibi gratulor, mihi gaudeo, utrique simul optima quaeque apprecatus: Interim si fortassis hoc, quicquid est, laboris mei, tuum nomen praeferentis, prius ad manus venerit, quam epistolium meum; scias, non tam praemissum esse, ut de me, meoque statu, quam ut de hujus mei laboris et instituti ratione tibi constaret.

What I often regret, most famous Sir, honoured patron, I suspect you have often wondered at: not so much that about a year ago, though our places were near each other, we had no chance to talk in person, as that for a year now, further apart and each not knowing where the other was, we have even stopped talking by letter altogether. But as I believe the latter will soon be made good, so I am glad that the former fell to my lot at Ulm three years ago. For at that time, on my way to Padua in Italy, I was allowed in passing a few words with you, few but welcome. But a year ago, on my return, my plan of completing Schiller’s posthumous Christian UranographyJulius Schiller's Coelum stellatum christianum (Augsburg, 1627), which renamed the constellations after Christian figures; Bartsch saw it through the press after Schiller's death. kept me at Augsburg, as you know, while the printing of Tycho’s work, the Rudolphine Tables, kept you busy at nearby Ulm in Swabia; until, when both our works were finished at the same time, your unexpected departure for Frankfurt and mine for home cut off every chance until now of talking about astronomy, whether by letter or in person. For though since then I have sent letters meant for you twice to Prague and once to Ulm, and have not neglected other chances of inquiring here and there, the letters came back to my hands from Prague with news, first of your absence, then of your departure, and from Ulm nothing; nor did I learn where you were living until a few days ago, when the most excellent Professor of Mathematics at Leipzig, the Licentiate Mr Philipp Müller, my teacher, whom I can never honour enough, having learned of it, told me that the graces of your Urania would from now on dwell in our Silesia and give it lustre. I congratulate you on this, and rejoice for myself, and wish us both every good. Meanwhile, if this piece of work of mine, such as it is, bearing your name, should reach your hands before my little letter, know that it is sent ahead not so much to tell you about me and my situation as about the reasoning of this work and undertaking of mine.

Quod igitur primo Ephemeridis hujus et supputandae ansam, et edendae causam spectat, ut hoc praemittam, olim (si recte memini) Ulmam inter alia aut scripsi, aut scribere volui, me praeter alia usibus practicis apprime accomodanda opuscula Astronomica, meditari insuper, jamque tentatis variis adornare, Planetarum non Theorias speculabiles, a Peurbachio, Maestlino, aliis aqueSic. Perhaps for aliisque a. Te ipso fusius et clarius explicatas; sed eorundem Sphaeras (ut ita dicam) Practicas, in quibus (sive secundorum mobilium directoriis, sive sphaericis secundorum motuum organis, sive Organicis Planetarum Aequatoriis, sive convenientiori nomine alio aliquando insigniendis) affectiones Planetarum propriae, sive proprii secundorum mobilium motus oculariter demonstrari, et mechanice licet ruditer, coelo tamen in gradibus convenienter, juxta hypotheses Astronomicas doceri queant: non minus ac in vulgaribus sphaeris globisve, affectiones siderum communes, ratione primi (quodcunque illud sit) mobilis eis competentes vulgo demonstrari, et oculis etiam illiteratorum exponi possunt. Quemadmodum enim certe expertusque scio, plures etiam primi et quotidie oculos incurrentis coelorum motus curam aut neglecturos, aut non intellecturos, nisi per sphaerae armillas aut Globi circulos sphaericos motumque oculariter doceri et ceu manuduci possent: sic contra plures etiam majori studio contemplaturos credo, secundorum mobilium motus, minus quidem observabiles, et certe magis delectabiles, et primi Motoris sapientiam testantes mirabilem, si eodem modo demonstrarentur ὀφθαλμοφανῶς et ad oculum: si (inquam) non per numeros tantum vel schemata, nullam motus variationem, nisi pluries refingantur, exhibentia; sed per organa etiam sphaerica (tam secundum veteres Ptolemaei et vulgares eccentricorum, epicyclorum, aequantium, etc. quam juxta novas Tychonis homocentrepicyclorum, aut tuas, quoad ejus fieri potest, causarum physicarum hypotheses) oculis minus exercitatorum in hac arte subjicerentur planetarum singulorum tum motus medii longitudinis, apogaei vel aphelii et eccentrici horumque lineae ac aequationes, puta eccentricae, coaequatae seu epicyclicae, orbisque prosthaphaereses dictae; tum vera longitudo et latitudo cum nodis; tum denique mire apparentes stationum, regressionum, directionum, motusque modo celerioris, modo tardioris phantasiae, et qui in systemate motuum Tychonico inprimis admiratione dignus est, Planetarum reliquorum Solem medium, ducis instar aut choragi, certis et conjunctionum et oppositionum terminis, semper centri, loco respicientium ordo constantissimus et pulcherrimus.

As for, first, the occasion for computing this Ephemeris and the cause for publishing it, let me say this first: some time ago (if I remember rightly) I wrote to Ulm, or meant to write, among other things, that besides other little astronomical works especially suited to practical use, I was also planning, and, after various trials, already preparing, not the speculative Theories of the Planets, explained more fully and clearly by Peurbach, Mästlin, others and yourself, but their practical Spheres, if I may call them so, in which (whether they come to be called directories of the second movables, or spherical instruments of the second motions, or instrumental Equatoria of the Planets, or by some more fitting name) the planets’ own affections, that is, the proper motions of the second movables, can be shown to the eye and taught mechanically, roughly perhaps, but agreeing with the heavens to the degree, according to the astronomical hypotheses: no less than in the ordinary spheres or globes the common affections of the stars, which belong to them by reason of the first movable (whatever that may be), are commonly shown and can be set before the eyes even of the unlearned. For just as I know for certain, by experience, that many would neglect or fail to understand even the first motion of the heavens, which meets our eyes every day, unless it could be taught to the eye and led by the hand, as it were, through the rings of an armillary sphere or the circles of a globe; so, conversely, I believe that many more would study with greater zeal the motions of the second movables, which are less observable, indeed, but certainly more delightful, and bear witness to the wonderful wisdom of the First Mover, if they were shown in the same way, visibly and to the eye: if, I say, not only by numbers or diagrams, which show no change of motion unless redrawn many times, but also by spherical instruments (following both the old hypotheses of Ptolemy and the common ones of eccentrics, epicycles, equants and so on, and Tycho’s new ones of homocentric epicycles, or, as far as possible, yours of physical causes) there were set before the eyes of those less practised in this art, for each planet, first the mean motions of longitude, of the apogee or aphelion and of the eccentric, with their lines and equations, namely the eccentric, the equated or epicyclic, and those called the prosthaphaereses of the orb; then the true longitude and latitude, with the nodes; and finally the wonderful appearances of stations, retrogressions and direct motions, and of motion now faster, now slower; and, what is above all to be admired in Tycho’s system of motions, the most constant and most beautiful order of the other planets, always looking to the mean sun as their centre, like a leader or chorus-master, at fixed limits of conjunction and opposition.

Quibus ita praemissis, ad hoc sane institutum meum, ut supra laudati Dn. L. Mülleri meditationes publice nuper propositas, tanquam eo collimantes; ita et praeter tuam Astronomiae Copernicanae Epitomen, Tabulas Tychonis Rudolphinas adjumenti multum suppeditare non diffiteor. Licet enim easdem, ut dudum expetitas, ita tunc ex prelo adhuc calentes, et licet praeter meritum meum, non tamen ingrato dono missas Augustam, magno quidem gaudio pellustravi obiter; quod tamen digne ad petitum tuum neque pellegere singula, neque ad quaesita respondere potui, utriusque improvisus ut ab initio attigi, et tuus Francofurtum, meus Lipsiam propter comites ad nundinas discessus, impediit. Ubi postmodum eas saepius laudato Dn. Müllero, nondum visas aut illuc allatas, et proin tanto majore gaudio exceptas, reliqui ad tempus, siquidem primis statim diebus apud parentes, per octennium non visos, calculum tentari diffidebam, quem tamen post etiam, receptis sub anni hujus initium Tabulis, inopinatus, tristisque parentis unice dilecti obitus non mediocriter suspendit.

With this said first, I do not deny that much help for this undertaking of mine comes from the reflections lately set out in public by the Licentiate Mr Müller, praised above, which aim at the same thing, and also, besides your Epitome of Copernican Astronomy, from Tycho’s Rudolphine Tables. For though, when they were sent to Augsburg, long desired as they were, still warm from the press, a gift beyond my deserts but not an unwelcome one, I did run through them in passing with great joy, yet I could neither read each part through properly, as you asked, nor answer your questions, prevented, as I touched on at the start, by the unexpected departure of each of us, you for Frankfurt and I for Leipzig, to join companions for the fair. There I afterwards left them for a time with the often-praised Mr Müller, who had not yet seen them, nor had any been brought there, and who received them all the more gladly; for I doubted I should try the calculation in my first days with my parents, whom I had not seen for eight years. And even afterwards, when I had got the Tables back at the beginning of this year, the unexpected and sad death of my dearly loved father held it up not a little.

Ante hoc autem semestre, aut quod excurrit, animum cum Tabulis resumens, partim novarum tuarum et physicarum hypothesium percipiendarum, partim novi et Logarithmici calculi exercendi cupidus (neglecto etiam Martis patriam turbantis insano strepitu) cepi labore multo conquirere, et ad certos aliquot hujus currentis, et sequentis 1629 anni mensium dies, juxta Tabularum praecepta, supputare, planetarum quinque maxime nunc aberrantium tum medios motus longitudinis, aphelii et nodi; tum anomalias medias, excentricas et coaequatas; tum ad cognomines, orbisque annui aequationes, ipsa loca vera in longum et latum: At in Luna difficiles calculi prolixioris spinas, duplices nempe hypotheses, easque nonnihil differentes, in variationis praeciqueSic. Read praecipue. negotio, cum viderem, cumque insuper utriusque calculi differentiam, qualis et quanta ubique sit, in aliquot periodorum diebus singulis periclitarer, factum, ut plus quam dimidius annus, singula seorsim inquirenti, efflueret.

But about half a year ago, or a little more, I took up the Tables again, eager partly to grasp your new physical hypotheses, partly to practise the new logarithmic calculation (ignoring even the mad din of Mars troubling my country), and began with much labour to work out, according to the precepts of the Tables, for certain days of the months of this present year and of the following year, 1629, for the five planets, which now wander most, first the mean motions of longitude, aphelion and node; then the mean, eccentric and equated anomalies; then, from the equations of the same names and of the annual orb, the true places themselves in longitude and latitude. But in the Moon, when I saw the difficult thorns of a longer calculation, namely two hypotheses, differing somewhat, especially in the matter of the variation, and when I also tested, on single days of some periods, what the difference between the two calculations was everywhere, and how great, it came about that more than half a year slipped by as I examined each point separately.

Quibus ita peractis, cum hac de re certiorem faciendi te occasio nulla suppeteret, ignaro in hoc regionum angulo, ubi degeres terrarum: tandem ecce! Vix a bimestri, dum superatis plerisque difficultatibus, magis magisque sub manibus calculus succedit, constituo reliqua ad integrandam Ephemerin adjicere, eamque bibliopolae alicujus sumtibus edendam dare, ut si citius alias nullas, saltem hasce praefatorias publicas ad Te defferrem quamprimum, quas etiam propterea fusius hic explicare non dubitavi. Quemadmodum vero alias ante annum, opellam meam exiguam, promtam, lubens meritoque obtuli: ita nunc certo persuasum habeas, velim, me hujus anni Ephemerin usibus meis privatis primo supputatam ita offere publicis, ut interim tuas luculentiores et digniores nullatenus vel impeditas, vel turbatas, sed multo magis (quod hoc publico testimonio liquido confirmo) pro tenuitate mea, quantum videlicet e re tua, meaque fuerit, adjutas velim: imo magis hanc edi debuisse, ut et tibi de meo qualicunque labore promto, et aliis astrorum peritis de tuo calculo Lunari et Tychonico nunquam in tuis antea conjunctim expresso, constaret. Accedunt editionis aliae privatae causae, quas cum aliquando coram (siquidem nos Deus incolumes in Silesia brevi conjunxerit) expositurus sim melius, nunc omitto, et de reliquis reliqua praemoneo. …

When this was done, since I had no chance of telling you of it, not knowing, in this corner of the land, where on earth you were living: at last, behold! barely two months ago, as the calculation went better and better under my hands, with most of the difficulties overcome, I decided to add the rest to complete the Ephemeris, and to give it to some bookseller to publish at his expense, so that, if in no other way sooner, I might at least bring you these public prefaces as soon as possible; which is also why I have not hesitated to set things out at length here. And just as a year ago I gladly, and rightly, offered you my small, ready service, so now I would have you firmly persuaded that I offer this year’s Ephemeris, first computed for my private use, to the public in such a way that I want your more splendid and worthier ones in no way hindered or disturbed, but rather (as I plainly confirm by this public testimony) helped, as far as my slender powers allow and as far as it serves your interest and mine; indeed, that it had to be published, so that you might know of my labour, such as it is, ready for you, and other experts in the stars might know of your lunar calculation and Tycho’s, never before set out together in your works. There are other private reasons for the publication, which I leave out now, since I shall explain them better some day in person (if God soon brings us together safe in Silesia); and I give notice of the rest in what remains. …

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Haec sunt, quae ad Te, Tychonem alterum, de praesenti meo et statu et instituto. in omnem eventum praefari placuit, plura brevi (spero) vel literis vel coram de his et aliis collocuturo. Interim haec aequo et benevolo animo legas, si vacat, studia mea quantulaunque foveas, et ut antea, ita posthac favere pergas, qui plurimum et salvere et valere Te jubet

This is what I have chosen to say to you beforehand, a second Tycho, about my present situation and undertaking, whatever may come of it; I hope soon to talk with you more of these and other things, by letter or in person. Meanwhile, read this with a fair and kindly mind, if you have time; support my studies, however small; and go on favouring hereafter, as before, the one who wishes you every health and strength,

Jac. Bartschio Authori.

Jac. Bartsch, the Author.