,.>■ 



3<J ENVCLEATIO 



Lemma 2* 



Fig. r, II. In Schematc Fig. i. repi\iefentet T2F plaiTim 



Meridiani, TRF pkniim Horizontis, BDH pl:min.n Par- 

 alleli , in qno itclla qiuied;im D moLietur. Exponet itaqiie 

 angulus CGD diftantiam ftellae D a Meridiano , in Aequa- 

 tore, quam vocabo tempus ; angiilusPKM vero diftan- 

 tiam ftelke D a Meridiano, in Horizonte, feu Azimu- 

 thum. hmeyiienda ejt ratio ^ quam hahet T empm ad Azi- 

 muthum. Sit in hunc finem angulus Temporis CGD acu- 

 tus, atque erit in triangulo CGD ad C red.ingulo, fin. 

 tot. (i) tang. CGD = CG:CD, hinc tang. CGDzr 

 l^; in triangulo PKM ad P redangulo, erit nirfus, 

 fin. tot. (i):tang. PKM = PK:PM, hinc tang. PKM 

 nr ^" \ itaque erit tangens Azimuthi ad tang. Temporisrr 

 C G : P K , ob C D i:z P M , reftat itaque inueftiganda haec 

 ratio. Ponantur 



Eleu. aequdt. fin. =<?. Temp. fin.rra. Dedin. fin. — A. 

 cofinus ~ b. cofin. — S. cofin. rr B. 



tangensrrc. tang. rry. tang. rrC. 



et practerea altitudinis Meridianae in B cofinus AKrr^. 

 Erit , ob altitudinem meridianam — alt. aequatoris -+- 

 vel — declinatione , per Lemmatis i. num. i et 8. ^— B^ 

 — A^, fi declinatio fit Borcahs, fed B/^-f-A^?, fi ea- 

 dcm fitAuftraUs. Deinde in triangulo CGD eft fin. 

 tot. (i):DG(B)rrcof. CGD(g):CG=:Be; nec non 

 in trianguio EBC, fin. tor. (i):BC(B-Bg) rr fin, 

 EBC(^):EC=:APrrB^-B/)e; hinc CG:PK=CGt 

 AK-AP — Be^^-B^H-BZ^gi^Bg : B^S ^ A^, 



