RESPONSIO An QiJA^EsVlOI^E^ Xsf^6^(?Mfc AM. 'u 



I : Tang. PS = Cot. PQ : Cos. SPQ = Cot. PQ Tang. PS 



Log. Tang. PS =* Log. Tang. i8° 22' 18" = 9,521277^ .1 

 Log. Cot. PQ = Log. Cot. 6CP 32' 10" — 9,'6375529 



Log; Cos. SPO = Log. Cos. 81° 42' 42" = 9,1581304 

 igitur SPO = MPO = 81° 42' 42" = 51- 26' 50" 



ergo inde ab 6'' 33' 10" temp. matutino ad 5*» 26' 50" temp, vespertino Sol hoc Hort- 

 logium illustrat. . _ . __ ,.j^, _^ ^. / ^ ._ -, , 



HEXACDRI. 



Horologium vcl planum, quod meridiei directe obvertitur, transit per Zenith etprimum 

 verticalem, declinat nec inclinat; triangula spliaerica evanescunt. Elevatio styli aecjualis 

 complemento latitudinis loci =: PS = 37° 50' 34" = PZ. 



Fig. 3. Ut anguli hprarii determinentur eadem inservit proportlot.rnj 

 _^ji': Sin. PS = Tang.Sl* I : tang. S I -'•§0 



Log.Sin.PS vel PZ = Log.Sin. .37°5o' 34"= 9,7878123 

 Log. Tang. SP I vcl ZP I = Log. Tang. 15° = 9,4280525 



Log. Tang. S I = Log. Tang. 9°,2o' 6"= 9,2x58648 



S I = S XI = 9° 20' 6" 



Log.-Sin. rs - ''•• ^-'^'-'x"V —.■--_ 9,7878123 



Log. Tang. PS II = Log. Tang. 30° = 9,7614394 



Log. Tang. S II = Log. Tang. 19° jd'^ig>f..v = ^^^^t^xt ^'''i^' ' ' 

 S U = S X = J9° 30' i<5" '-'•. ■;';•" I ■ •■:■ ' 'J '■'' 



"anoa DudiiB '•Or 'q '-^:-. ^nihjrii jii 

 Log. Sin. PS , ..= 9,7878is3 ''• 



Log. Tang. SP III = Log. Tang. 45° = 0,0000000 



Log. Tang. S EI = Log. Tang. 31° 31' 45" =9,7878123 

 S m = S IX = 32° 31' 45" 



