Page:Organum mathematicum libris IX. explicatum (1668).djvu/670 - Revision history

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Sang Min Lee at 15:11, 18 December 2019

2019-12-18T15:11:59Z

Sang Min Lee: /* Not proofread */ Created page with "Huin in Tabula Sinuum et Logarithmorum respondent gradaus 37, minuta 38 circiter. "

2019-12-18T11:32:52Z

Not proofread: Created page with "Huin in Tabula Sinuum et Logarithmorum respondent gradaus 37, minuta 38 circiter. "

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<noinclude><pagequality level="1" user="Lovison2019 LEE" /></noinclude>Huin in Tabula Sinuum et Logarithmorum respondent gradaus 37, minuta 38 circiter.<noinclude><references/></noinclude>

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 ''Fiat ut Sinus totus ad Sinum complementi elevationis poli, ita Tangens distantiae  Horarii a Meridiano, ad aliud. Facta operatione per Regulam Trium, reperitur Tangens Verticalis quaesiti, et ex haec arcus desideratus in gradibus et minutis.''<br>
 <center>''Secundus Modus, per Logarithmos.''</center><br>
-''Logarithmus complementi altitudinis poli addatur Mesologarithmo(seu Logarithmo Tangentis) distantiae Horarii a Meridiano, et fiet Mesologarithmus(seu Logarithmus Tangentis)arcus''<noinclude><references/></noinclude>
+''Logarithmus complementi altitudinis poli addatur Mesologarithmo(seu Logarithmo Tangentis) distantiae Horarii a Meridiano, et fiet Mesologarithmus(seu Logarithmus Tangentis)arcus''<noinclude><references/> {{TurnPage}}</noinclude>

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 ''Fiat ut Sinus totus ad Sinum complementi elevationis poli, ita Tangens distantiae  Horarii a Meridiano, ad aliud. Facta operatione per Regulam Trium, reperitur Tangens Verticalis quaesiti, et ex haec arcus desideratus in gradibus et minutis.''<br>
 <center>''Secundus Modus, per Logarithmos.''</center><br>
-''Logarithmus complementi altitudinis poli addatur Mesologarithmo(seu Logarithmo Tangentis) distantiae Horarii a Meridiano, et fiet Mesologarithmus(seu Logarithmus Tangentis)arcus''
+''Logarithmus complementi altitudinis poli addatur Mesologarithmo(seu Logarithmo Tangentis) distantiae Horarii a Meridiano, et fiet Mesologarithmus(seu Logarithmus Tangentis)arcus''<noinclude><references/></noinclude>
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−	Huin in Tabula Sinuum et Logarithmorum respondent gradaus 37, minuta 38 circiter.	+	Huin in Tabula Sinuum et Logarithmorum respondent gradaus 37, minuta 38 circiter.<br>
		+	<center>PROPOSITIO IV.<br>
		+	''Arcum Verticalis primarii inter Meridianum et<br>
		+	''quemlibet circulum Horarium Astronomicum comprehensum''<br>
		+	''definire, data poli altitudine, et Horarii distantia''<br>
		+	''a Meridiano.''</center><br>
		+	Sit in praecedenti figura Meridianus, Horizon, Horarius circulus, Aequator, et Poli, ut antea; Verticalis autem primarius sit M G N, quem Horarius secet in punctis O et P. Quaeritur arcus M O, resectus a Semicirculo Horario E H F; vel arcus N P, resectus a Semicirculuo Horario E I F.<br>
		+	Considera triangulum M O E, vel N P F: in quibus angulus ad M, vel N, rectus est, si Verticalis sit primarius; alioquin notus est, quia est complementum Azimuti seu Verticalis dati. Datur praeterea complementum altitudinis poli, quod est E M, vel depressionis alterius poli, quod est F N. Demum ex Horarii specie, seu horis ante vel post meridiem in partes Aequatoris versis, notus etiam angulus O E M, vel angulus P F C, complementum anguli P F N ad duos recots. Ex his etiam duplici via inveniri potest arcus Verticalis M O, nempe per Sinus, et per Logarithmos.<br>
		+	<center>''Primus Modus, Per Sinus et Tangentes.''</center><br>
		+	''Fiat ut Sinus totus ad Sinum complementi elevationis poli, ita Tangens distantiae Horarii a Meridiano, ad aliud. Facta operatione per Regulam Trium, reperitur Tangens Verticalis quaesiti, et ex haec arcus desideratus in gradibus et minutis.''<br>
		+	<center>''Secundus Modus, per Logarithmos.''</center><br>
		+	''Logarithmus complementi altitudinis poli addatur Mesologarithmo(seu Logarithmo Tangentis) distantiae Horarii a Meridiano, et fiet Mesologarithmus(seu Logarithmus Tangentis)arcus''