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Titre : Opera omnia. Vol. 7 / edidit Ch. Frisch...

Auteur : Kepler, Johannes (1571-1630)

Éditeur : Heyder et Zimmer (Frankofurti a. M.)

Date d'édition : 1858-1871

Contributeur : Frisch, Christian (1807-1882). Éditeur scientifique

Sujet : Astronomie

Type : monographie imprimée

Langue : Latin

Format : 8 vol. : fig. et pl. ; gr. in-8

Format : application/pdf

Droits : domaine public

Identifiant : ark:/12148/bpt6k949604

Source : Université de Paris Sud 11, B2-120-7

Relation : Notice d'ensemble : http://catalogue.bnf.fr/ark:/12148/cb30678038g

Relation : http://catalogue.bnf.fr/ark:/12148/cb30678038g

Provenance : bnf.fr

Date de mise en ligne : 15/10/2007

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Title : Opera omnia. Vol. 7 / edidit Ch. Frisch...

Author : Kepler, Johannes (1571-1630)

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Chiliadis Supplementum.

382

dentis in quadrivicenaria, quaesitorum summa ex quadrivicenaria ostendit
partem proportionalem.

Ut si uni gradui anomaliae mediae respondeant 24' 17" coaequatae, quid
competit minutis 49. 23"?

24' 17" Log. 284000 circiter

49' 23" Log. 19480_

Summa "~3Ô348Ôr"dat 9' 15", tantum competit scrupulis 49. 23".

III. PRAECEPTUM.

Dato diurno Solis vel planetarum 5 unius, coîligere aliquot horarum
rnotum.

Si diurnus minor est quam 60', ut in Saturno, Jove, Marte et in Sole,
quaere eum in sexagenaria, numerurn horarum in quadrivicenaria, et adde
eorum Logarithmos; summa in Logarithmis quaesita eruet ex sexagenaria
partem horis competentem.

In Sole, Venere, Mercurio, si diurnus est inter et 2°, quaere pro-
portionalem partem de excessu supra eamque ndde ad id, quod horis datis
in sexagenaria respondet per caput 4. In Mercurio vero, si ejus diurnus
superat 2°, partem proportionalem de excessu adde duplo illius quod horis
datis respondet in sexagenaria.

Aliter, quia diurnus plerumque constat integris scrupulis sine appendice
secundorum, quaerere illa poteris non in sexagenaria, scd inter absolutos,
prolongata prius, ut cap. 8. docui, et tune, quae ex Logarithmis colligitur
summa, quaesita in Logarithmis, rursum inter absolutos ostendet partem pro-
portionalem decurtandam iterum totidem locis.

Exempla. Sit diurnes 17', horae 19. 48' 0"
Horar. 19. 48' Log. 19237

Scr. 17' ex sexagen. Log. 126200

Summa 145437.

Pars propnrtionalis ex sexa-

genaria 14' 1",

V e ].

19237

Ex absolutis 17000 19237

Log. 177200
Siimma 196437.

Ex absol. columna 14020.

Jam si Veneris diurnus fnisset 17', tune e regione hor. 19. 48' invenio scru-
pula. 49' 30", quae addenda sunt ad 14' 1", partem proportionalem de excessu, osset-
que arcus quaesitus 3' 1". Et si Mercurii diurnus fuisset 17', duplicanda fuis-
sent illa 491 30" addendaque 14' 1", ita collegissemus û3' 1".

IV. PRAECEPTUM.

Horarium elicere ex motu aliquot horarum datarum, minore quam 60'.
Auferatur Logarithmus horarum datarum, in quadrivicenaria quaesitarum,
a Logarithmo ex sexagenaria scrupulorum, horis competentium; residuurn,
ut Logarithmus, ex sexagenaria exhibebit horarium. Exempla sunt facilia
et obvia.

V. PRAECEPTUM.

Data separatione diurna minore quam 60' et distantia planetae ab alterius
aspectu, minore ea quam est diurnus, prode.rc horarum intervallum
respondens.

In sexagenaria vel etiam inter absolutos quaesitis diurna separatione
et distantia, Logarithmes illius aufertur a Logarithmo bujus, residuum, ut

Source: gallica.bnf.fr / Université de Paris Sud 11, B2-120-7

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