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Joannis Kepleri astronomi Opera omnia (Vol. 3)

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Bibliographic data

fullscreen: Joannis Kepleri astronomi Opera omnia (Vol. 3)

Monograph

Persistent identifier:
1067490280
Title:
Systems for data processing, anaylsis and representation
Sub title:
ISPRS Commission II Symposium : June 6 - 10, Ottawa, Canada
Scope:
1 Online-Ressource (XX, 530 Seiten)
Year of publication:
1994
Place of publication:
Ottawa
Publisher of the original:
The Surveys, Mapping and Remote Sensing, Natural Resources Canada
Identifier (digital):
1067490280
Illustration:
Illustrationen
Signature of the source:
ZS 312(30,2)
Language:
English
Additional Notes:
Erscheinungsdatum des Originals ist aus dem Copyrightjahr ermittelt.
Usage licence:
Attribution 4.0 International (CC BY 4.0)
Editor:
Allam, Mosaad
Plunkett, Gordon
Corporations:
Symposium Systems for Data Processing, Analysis and Representation, 1994, Ottawa
International Society for Photogrammetry and Remote Sensing
International Society for Photogrammetry and Remote Sensing, Commission Instrumentation for Data Reduction and Analysis
Kanada, Surveys, Mapping and Remote Sensing Sector
Adapter:
Symposium Systems for Data Processing, Analysis and Representation, 1994, Ottawa
International Society for Photogrammetry and Remote Sensing
International Society for Photogrammetry and Remote Sensing, Commission Instrumentation for Data Reduction and Analysis
Kanada, Surveys, Mapping and Remote Sensing Sector
Founder of work:
Symposium Systems for Data Processing, Analysis and Representation, 1994, Ottawa
International Society for Photogrammetry and Remote Sensing
International Society for Photogrammetry and Remote Sensing, Commission Instrumentation for Data Reduction and Analysis
Kanada, Surveys, Mapping and Remote Sensing Sector
Other corporate:
Symposium Systems for Data Processing, Analysis and Representation, 1994, Ottawa
International Society for Photogrammetry and Remote Sensing
International Society for Photogrammetry and Remote Sensing, Commission Instrumentation for Data Reduction and Analysis
Kanada, Surveys, Mapping and Remote Sensing Sector
Publisher of the digital copy:
Technische Informationsbibliothek Hannover
Place of publication of the digital copy:
Hannover
Year of publication of the original:
2019
Document type:
Monograph
Collection:
Earth sciences

Chapter

Title:
[Tuesday, June 7, 1994]
Document type:
Monograph
Structure type:
Chapter

Chapter

Title:
[Session D-1 Commission II - Special Project - Upgrading Photogrammetric Instruments]
Document type:
Monograph
Structure type:
Chapter

Chapter

Title:
Perfectionnement des instruments pphotogrammetriques [Patrick Wong]
Document type:
Monograph
Structure type:
Chapter

Contents

Table of contents

  • Joannis Kepleri astronomi Opera omnia
  • Joannis Kepleri astronomi Opera omnia (Vol. 3)
  • Cover
  • Title page
  • Title page
  • Title page
  • OPERUM KEPLERI QUAE VOLUMEN III. CONTINET DISPOSITIO.
  • CONSPECTUS EPISTOLARUM KEPLERI, QUAE INSUNT VOLUMINI III.
  • ASTRONOMIA NOVA SEU DE MOTU STELLAE MARTIS.
  • PROOEMIUM.
  • ASTRONOMIA NOVA [...] SEU PHYSICA COELESTIS tradita commentariis DE MOTIBUS STELLAE MARTIS. [...]
  • P. Ramus Scholarum Mathematicarum lib. II. pag. 50.
  • Auctor Ramo.
  • D. RUDOLPHO II. ROMANORUM IMPERATORI SEMPER AUGUSTO. GERMANIAE, HUNGARIAE, BOHEMIAE &c. REGI. ARCHIDUCI AUSTRIAE &c.
  • IN HAEC COMMENTARIA DE MOTIBUS MARTIS.
  • PARAENETICUM THYCHONIS BRAHE Summi Astronomi, ad Astronomiae Cultores, SUFFIXUM RESTITUTIONI STELLARUM FIXARUM, Progymnasmatum Tomo I. Pagina 295.
  • Lectori
  • Introductio in hoc opus.
  • ARGUMENTA SINGULORUM CAPITUM.
  • IN NOMINE DOMINI. COMMENTARIORUM DE MOTIBUS STELLAE MARTIS PARS PRIMA. DE COMPARATIONE HYPOTHESIUM.
  • PARS SECUNDA. DE PRIMA MARTIS STELLAE INAEQUALITATE AD IMITATIONEM VETERUM.
  • COMMENTARIORUM DE MOTIBUS STELLAE MARTIS PARS TERTIA. INVESTIGATIO SECUNDAE INAEQUALITATIS, ID EST MOTUUM SOLIS VEL TELLURIS. SEU CLAVIS ASTRONOMIAE PENITIORIS. UBI MULTA DE CAUSIS MOTUUM PHYSICIS.
  • COMMENTARIORUM DE MOTIBUS STELLAE MARTIS PARS QUARTA. INVESTIGATIO VERAE MENSURAE PRIMAE INAEQUALITATIS EX CAUSIS PHYSICIS ET PROPRIA SENTENTIA.
  • Quae tertia parte demonstrata sunt, ad omnes planetas pertinent: [...]
  • Caput XLI. Apsidum et eccentricitatis et proportionis orbium inquisitio tentata, ex jam usurpatis observatis extra oppositionem cum Sole, cum falsa tamen conditione.
  • Caput XLII. Per aliquot observationes extra situm acronychium, Marte circa aphelium, itemque alias aliquot, Marte circa perihelium versante, inquirere certissimum locum aphelii, correctionem motus medii, eccentricitatem genuinam, et proportionem orbium.
  • Caput XLIII. De defectu aequationum, quae bisectione eccentricitatis et areis triangularibus exstruuntur, posita orbita planetae perfecte circulari.
  • Caput XLIV. Viam planetae per auram aetheream non esse circulum, ne quidem respectu primae inaequalitatis solitariae, si etiam mente removeas Braheanas et Ptolemaicas spirarum implicationes eoo inaequalitate secunda duobus his auctoribus resultantes.
  • Caput XLV. De causis naturalibus hujus deflexionis planetae a circulo: prima opinio examinata.
  • Caput XLVI. Quomodo describi possit linea motus planetae ex opinione capitis XLV, qualisque ea sit.
  • Caput XLVII. Quadratura tentata plani oviformis, quod peperit caput XLV, et quod describere satagebamus cap. XLVI: et per eam methodus aequationum.
  • Caput XLVIII. Modus aequationes eccentri computandi per mensuram et sectionem numeralem ooidis circumferentiae Cap. XL. descriptae.
  • Caput XLIX. Elenchus prioris methodi aequationum, et methodus concinnior, innixa principiis, viam ovalem ex sententia capitis XLV. componentibus.
  • Caput L. De aliis sex modis aequationes eccentrici exstruendi tentatis.
  • Caput LI. Explorantur et comparantur distantiae Martis a Sole in aequali utriusque semicirculi distantia ab aphelio: simul etiam exploratur fides hypotheseos vicariae.
  • Caput LII. Demonstratio per observationes capitis LI, eccentricum planetae non circa centrum epicycli Solis, seu punctum medii loci Solis, sed circa ipsissimum corpus Solis ordinari: et lineam apsidum non per illud, sed per hoc transire.
  • Caput LIII. Alia methodus explorandi distantias Martis a Sole per aliquot continuas observationes ante et post situm acronychium: ubi simul etiam explorantur loca eccentrica.
  • Caput LIV. Accuratius examen proportionis orbium.
  • Caput LV. Demonstratur ex observationibus capitum LI. LIII. et proportione orbium capitis LIV, peccare hypothesin capite XLV. arreptam, et distantias in mediis longitudinibus justo breviores efficere.
  • Caput LVI. Demonstratio ex observationibus ante positis, distantias Martis a Sole desumendas esse quasi ex diametro epicycli.
  • Caput LVII. Quibus naturae principiis efficiatur, ut plancta libretur quasi diametro epicycli.
  • Caput LVIII. Quomodo stante libratione, capite LVI. demonstrata et inventa, possit tamen error admitti in praepostera librationis applicatione, qua iter planetae buccosum efficiatur.
  • Caput LIX. Demonstratio, quod orbita Martis, librati in diametro epicycli, fiat perfecta ellipsis: et quod area circuli metiatur summam distantiarum ellipticae circumferentiae punctorum.
  • Caput LX. Methodus, ex hac physica, hoc est genuina et verissima hypotliesi exstruendi utramque partem aequationis et distantias genuinas; quorum utrumque simul per vicariam fieri hactenus non potuit: argumentum falsae hypotlieseos.
  • COMMENTARIORUM DE MOTIBUS STELLAE MARTIS PARS QUINTA. DE LATITUDINE.
  • IN COMMENTARIA DE MOTIBUS MARTIS NOTAE EDITORIS.
  • FRAGMENTA STUDIORUM KEPLERI ASTRONOMICORUM. DESUMTA E MANUSCRIPTIS KEPLERI, QUAE PRIUS PETROPOLI, JAM PULKOWAE CONSERVANTUR.
  • EPISTOLA DE SOLIS DELIQUIO quod die 12. Oct. 1605 contigit.
  • Cover

Full text

410 
De Motibus Stellae Martis 
planetae justus, et I cum N connectatur. Quia ergo ut YD ad DF, sic 
XG ad GI (per 1.); ut vero VI) ad 1)11, sic XG ad GN, propter simili 
tudinem triangulorum: ut igitur FD ad DH, sic IG ad GN, et sunt 
aequales FDH et IGN. Aequales igitur etiam FHD et ING. Et H est 
centrum eccentrici, N vero centrum Solis. Angulus igitur (ffc. q. e. d. 
V. Anguli, quo coaequata fictitia, quae circulo nititur, differt a coae 
quata vera, quae ellipsi innititur, mensura genuina et verissima est rectan- 
gulum sub sinu anomaliae coaequatae fictitiae et sinu complementi ano 
maliae coaequatae verae. 
In schemate eodem, multiplicato sinu anguli AI1D in sinum anguli 
VFII, proditura erat genuina mensura anguli FHD per III. At per IV. 
angulorum YI 1 D et XNG aequalium sinus est idem, itemque et YFH, 
XIN sinus idem. Ergo multiplicato sinu anguli XNG, anomaliae coae 
quatae fictitiae, in sinum anguli XIN complementi ipsius XNI, qui est 
coaequata vera, prodit mensura genuimi anguli FI1 D; hoc est per IV. 
anguli ING, differentiae inter XNG et XNI. 
Corollarium. Quia paria est differentia ING, et nuspiam major 8 ', multo 
adhuc minor in effectu fiUura est differentia inter rectangula per XIN et 
per XGN sinum constituta. 
Hinc praxis liet ista. Dato angulo anomaliae coaequatae verae, multi 
plicetur ejus sinus in sinum complementi. Facti duplum, abjectis 5 ultimis, 
multiplicetur in maximum ingressus angulum ad anomaliam 45°. Prodibit 
angulus ingressus ad datam anomaliam. Qui additus ad coaequatam veram XNI, 
dat ffctitiam XNG. Per quem angulum et latera NH, HG nota invenitur AHG 
anomalia eccentri, et HGN valor trianguli, ut hactenus. 
Maximum vero angulum ad anomaliam 45° inquirere non est difficile. 
Sit VHD 45°. Ergo ut totus sinus ad 70711, sic 429 vel correctius 
432 maximus ingressus, videlicet maxima latitudo lunulae, ad FD 315. 
Cumque jam in 45 u sint aequales I1V, YD; aufer FD 315 ab VD 70711, 
remanet VF, 70396, quae cum HV dat angulum YHF 44° 52' 19", qui 
differt a 45° 0' 0" tantum per 7' 41". Atque'hic est maximus angulus 
ING. 102 J 
Sequitur alter modus per analysin, cujus haec fundamenta sunt. In 
schemate 118. dato angulo MNL, datur proportio linearum MN, NL: et 
scio, quod MN et LN sint compositae ex partibus notae et permutatae 
proportionis. Nam in MN inest sinus totus, notus; in LN inest HN, 
eccentricitas nota. Residuum de MN ad residuum de LN, hoc est ad 
LH, eam habet proportionem, quam habet eccentricitas HN ad sinum 
totum. (Vide, si mavis, etiam schema 117.) Ergo sit MN 100000 —j— 1 Hr, 
LN «* angulo MNL 30° «ft 2—G * 6 ^ * NH 9265 vel 
ut sit HL J—J“« 1L Ut vero HN 9265 ad 1 V, sic 100000 
ad LII. Igitur IIL secunda vice est id est V; prius 
7733800000 f 86603 
100000 
1 L Ablatis denominatoribus, et quae possunt utrinque 
aequaliter auferri, restant 992717 aequales numero 7733800000. 
Itaque una radix valet 7744, estque MN 107744. Et quia ut HN ad 
hanc radicem, sic totus ad LH, erit igitur LH 83583, sinus ipsius KE 
56° 42' complementi anomaliae eccentri AK 33° 46'. ,o:! ) Qua inventa, 
jam ut paulo prius invenitur et area AKN, mensura temporis seu anomalia
	        

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Frisch, Christian, and Johannes Kepler. Joannis Kepleri Astronomi Opera Omnia. Heyder & Zimmer, 1860.
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