De Planetario Ststemate. 



mfm XX. 



Exquibus quatuor datis» qux 4ne- 

 miiie rejicienda erunt, nec illa ita 

 quim facpi/Iiniie ab aliis inventa effe, 

 quisinficiaripotedt, inquiremus So- 

 iisdiftantiam Sc magnitudinem. 



Primo intriangulo Redangulo il 



UtitaquepartesRadii, laddifbntiamLunasJSic part. Tang. Semidiam. 



207 



c y efl angulus ^ femidiameter umbrx 

 Terrx^d, &latus lc diftantiaLuns 

 a Tcrra tf 4 femidiametrorum TcrnE, 

 feu r 5-040 miiliar. germ. pofita femi- 

 diametro Terrae 8do milliar. Ger- 

 man. 



I 0000000 



ffo^oMill. 



Umbr2,4dmin. 



1X^3^1 



Ad femidiametr. Umbrae Terrx ^40 milliar. germ. qui- 

 bus ablatis ex femidiametr.Terras, remanent,pro kgf 

 21 9> 5*49 (3- milliar. german. 



4^5-4440 

 fSiSe/o 

 y8i8o^ 

 ^40,45*09440. 



Secundo in triangulo Red^angulo 

 gik, nota funt duolatera gk,^ ki. 

 asqualiaipds ic ,lc. una cum angulo 



Latus ki, I PartesRadii, 

 1.1 i< 



/fo^oMiU. 



iOCOOOOO 



redo ad k , quaeritur angulus ad i , cui 

 xquaiis eft angulus ad J, quia lincae 

 kiSc ^^ parallelaefunt. 



Latusi^, 

 — zi9,ss (* Mill. Germ. 



I 0000000 



^l^^^fOOOOOyOO^l 



t 



^K$i(i^st^ftft*^ (2| 39889,17(2. Tangcns 

 it^iHHMHHHl^ Anguli / vel </,ad i^-^i 



iiit 



Hx li — Al, anguli ad i vel J ,ii 

 fubirahantur ao angulo age, feu ex fe- 



^Mfita pt midiametro Solis apparente i/ min. 



^^ParMi- leinanent i .— 1 8 pro angulo Paralla- 

 xeos Solis i a g{ quiaangulusexter- 

 nus a ge femper xqualis eft duobus 



oppofitis intcmis pcr 32. lib. i. £u- 

 clid.) Itemfifubtrahantur k 90 grad. 

 remanet angulus complementi i^g h 



Tertioin triangulo d h g quasritur 

 axis coni Umbraz five lin. d L 



Ut Sinus ang. ^15 — 4!, 



39889 



ad Sinum fui comple- 

 menti , id cft anguli 

 dg ^,89gr.4^ — li 

 99999203 (i 



(icScmidiam. Tcrrx 

 ad axem coni 

 Umbrae dh, 



1(0 



Provenient 2/0,69 (2 Semidiametri Tcrrae pro axc coni 

 Umbrac id efl linei d h. 



Quarto accipiatur triangulus a fe- 

 midiametro Terras ad pundtum Soiis 

 medium , hoc eft triangulum h a g , 

 inquo femidiameter Terras cfl angu 

 lus parallaxeos h ag,i — 18, quae 



fubtrad^as ab angulo rc£h> 90 gr. rcma- 

 net angulus Horizontalis ad centrum 

 Soiis , id eft , angulus agh^ 89 grad. 



Ut 



V 



