Clavius, Christoph
,
Gnomonices libri octo, in quibus non solum horologiorum solariu[m], sed aliarum quo[quam] rerum, quae ex gnomonis umbra cognosci possunt, descriptiones geometricè demonstrantur
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LIBER PRIMVS.
"/>
bore inuenimus, etiamſi horam ignoremus. </
s
>
<
s
xml:id
="
echoid-s7734
"
xml:space
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">In quarta enim figura ducatur diameter paralleli bo@
<
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<
note
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="
right
"
xlink:label
="
note-0147-01
"
xlink:href
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note-0147-01a
"
xml:space
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">Altitudo Solis
<
lb
/>
in Verticali cit
<
lb
/>
culo qua ratio-
<
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/>
ne inueniatur,
<
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/>
etiamſi hora
<
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/>
ignoretur.</
note
>
realis V X, (In borealibus enim duntaxat parallelis Sol ſupra Horizontem in Verticali poteſt exi-
<
lb
/>
ſtere.) </
s
>
<
s
xml:id
="
echoid-s7735
"
xml:space
="
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">ſecans axem in Y, & </
s
>
<
s
xml:id
="
echoid-s7736
"
xml:space
="
preserve
">Verticalis diametrum in Z, puncto, per quod ducatur diameter paral
<
lb
/>
lè
<
unsure
/>
li Horizontis, ita vt Z E, ſit ſinus altitudinis Solis in Verticali exiſtentis. </
s
>
<
s
xml:id
="
echoid-s7737
"
xml:space
="
preserve
">Ducta autem D γ, ad
<
lb
/>
H E, perpendiculari, quæ ſecet V X, in δ; </
s
>
<
s
xml:id
="
echoid-s7738
"
xml:space
="
preserve
">quoniam eſt, vt D γ, ſinus alitudinis poli ad γ δ, ſinum
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0147-02
"
xlink:href
="
note-0147-02a
"
xml:space
="
preserve
">2. ſexti.</
note
>
declinationis paralleli propoſiti, ita D E, ſinus totus ad EZ, ſinum altitudinis Solis: </
s
>
<
s
xml:id
="
echoid-s7739
"
xml:space
="
preserve
">Si fiat, vt ſinus
<
lb
/>
altitudinis poli ad ſinum declinationis, ita ſinus totus ad aliud, inueniemus ſinum altitudinis So-
<
lb
/>
lis in Verticali. </
s
>
<
s
xml:id
="
echoid-s7740
"
xml:space
="
preserve
">Huius rei hoc ſit exemplum. </
s
>
<
s
xml:id
="
echoid-s7741
"
xml:space
="
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">Sole exiſtẽte in principio ♋, in Horizonte Romano,
<
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/>
vel ad latitudinem grad. </
s
>
<
s
xml:id
="
echoid-s7742
"
xml:space
="
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">42. </
s
>
<
s
xml:id
="
echoid-s7743
"
xml:space
="
preserve
">Fiat vt 66913, ſinus altitudinis poli ad 39874. </
s
>
<
s
xml:id
="
echoid-s7744
"
xml:space
="
preserve
">ſinum declinationis,
<
lb
/>
quæ cõtinet grad. </
s
>
<
s
xml:id
="
echoid-s7745
"
xml:space
="
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">23. </
s
>
<
s
xml:id
="
echoid-s7746
"
xml:space
="
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">Min. </
s
>
<
s
xml:id
="
echoid-s7747
"
xml:space
="
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">30. </
s
>
<
s
xml:id
="
echoid-s7748
"
xml:space
="
preserve
">ita 100000 ſinus totus ad aliud, inueniemusq́; </
s
>
<
s
xml:id
="
echoid-s7749
"
xml:space
="
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">ferè 59591. </
s
>
<
s
xml:id
="
echoid-s7750
"
xml:space
="
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">ſinum
<
lb
/>
<
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position
="
left
"
xlink:label
="
note-0147-03
"
xlink:href
="
note-0147-03a
"
xml:space
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">10</
note
>
altitudinis quæſitæ, cui reſpondet arcus grad. </
s
>
<
s
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="
echoid-s7751
"
xml:space
="
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">36. </
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>
<
s
xml:id
="
echoid-s7752
"
xml:space
="
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">Min. </
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>
<
s
xml:id
="
echoid-s7753
"
xml:space
="
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">35. </
s
>
<
s
xml:id
="
echoid-s7754
"
xml:space
="
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">pro altitudine Solis in Verticali circulo
<
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/>
ad datam latitudinem.</
s
>
<
s
xml:id
="
echoid-s7755
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s7756
"
xml:space
="
preserve
">QVOD ſi declinatio paralleli borealis æqualis fuerit altitudini poli, hoc eſt, arcui B H, tan-
<
lb
/>
get parallelus Verticalem in B, Z enith, vt paté
<
unsure
/>
t. </
s
>
<
s
xml:id
="
echoid-s7757
"
xml:space
="
preserve
">Vnde altitudo Solis in Verticali comprehendet
<
lb
/>
tunc grad. </
s
>
<
s
xml:id
="
echoid-s7758
"
xml:space
="
preserve
">90. </
s
>
<
s
xml:id
="
echoid-s7759
"
xml:space
="
preserve
">Si vero maior fuerit declinatio altitudine poli, non ſecabit parallelus Verticalem, vt
<
lb
/>
ex tertia ſigura manifeſtũ eſt. </
s
>
<
s
xml:id
="
echoid-s7760
"
xml:space
="
preserve
">Quare tunc ſol nunquam ad Verticalẽ perueniet. </
s
>
<
s
xml:id
="
echoid-s7761
"
xml:space
="
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">Atq; </
s
>
<
s
xml:id
="
echoid-s7762
"
xml:space
="
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">hæc de prima
<
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/>
parte huius problematis. </
s
>
<
s
xml:id
="
echoid-s7763
"
xml:space
="
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">Sed antequam ad ſecundam partem problematis accedamus, rem totam
<
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/>
nonnullis exemplis illuſtremus.</
s
>
<
s
xml:id
="
echoid-s7764
"
xml:space
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"/>
</
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>
<
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"
xml:space
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">Exemplum pri-
<
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mum.</
note
>
<
p
>
<
s
xml:id
="
echoid-s7765
"
xml:space
="
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">SOLE igitur exiſtente in principio ♊, vel ♌, quando nimirum altitudo meridiana continet
<
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/>
grad. </
s
>
<
s
xml:id
="
echoid-s7766
"
xml:space
="
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">68. </
s
>
<
s
xml:id
="
echoid-s7767
"
xml:space
="
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">Min. </
s
>
<
s
xml:id
="
echoid-s7768
"
xml:space
="
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">12. </
s
>
<
s
xml:id
="
echoid-s7769
"
xml:space
="
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">& </
s
>
<
s
xml:id
="
echoid-s7770
"
xml:space
="
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">depreſſio meridiana grad. </
s
>
<
s
xml:id
="
echoid-s7771
"
xml:space
="
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">27. </
s
>
<
s
xml:id
="
echoid-s7772
"
xml:space
="
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">Min. </
s
>
<
s
xml:id
="
echoid-s7773
"
xml:space
="
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">48. </
s
>
<
s
xml:id
="
echoid-s7774
"
xml:space
="
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">dies autem continet horas 14. </
s
>
<
s
xml:id
="
echoid-s7775
"
xml:space
="
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">Min.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s7776
"
xml:space
="
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">
<
note
position
="
left
"
xlink:label
="
note-0147-05
"
xlink:href
="
note-0147-05a
"
xml:space
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">20</
note
>
35. </
s
>
<
s
xml:id
="
echoid-s7777
"
xml:space
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">fere; </
s
>
<
s
xml:id
="
echoid-s7778
"
xml:space
="
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">adeo vt meridies fiat more ſtalorum horá
<
unsure
/>
16. </
s
>
<
s
xml:id
="
echoid-s7779
"
xml:space
="
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">Min. </
s
>
<
s
xml:id
="
echoid-s7780
"
xml:space
="
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">43. </
s
>
<
s
xml:id
="
echoid-s7781
"
xml:space
="
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">more autem Babyloniorum hora
<
lb
/>
7. </
s
>
<
s
xml:id
="
echoid-s7782
"
xml:space
="
preserve
">Min. </
s
>
<
s
xml:id
="
echoid-s7783
"
xml:space
="
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">17. </
s
>
<
s
xml:id
="
echoid-s7784
"
xml:space
="
preserve
">inquirenda ſit in Horizonte Romano, hoc eſt, ad latitudinem grad. </
s
>
<
s
xml:id
="
echoid-s7785
"
xml:space
="
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">42. </
s
>
<
s
xml:id
="
echoid-s7786
"
xml:space
="
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">altitudo Solis
<
lb
/>
ad horam 20. </
s
>
<
s
xml:id
="
echoid-s7787
"
xml:space
="
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">ab occaſu, vel ad horam 4. </
s
>
<
s
xml:id
="
echoid-s7788
"
xml:space
="
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">ab ortu, quarum vtraq; </
s
>
<
s
xml:id
="
echoid-s7789
"
xml:space
="
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">diſtat à meridie horis 3. </
s
>
<
s
xml:id
="
echoid-s7790
"
xml:space
="
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">Min. </
s
>
<
s
xml:id
="
echoid-s7791
"
xml:space
="
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">17.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s7792
"
xml:space
="
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">hoc eſt, grad. </
s
>
<
s
xml:id
="
echoid-s7793
"
xml:space
="
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">49. </
s
>
<
s
xml:id
="
echoid-s7794
"
xml:space
="
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">min. </
s
>
<
s
xml:id
="
echoid-s7795
"
xml:space
="
preserve
">15. </
s
>
<
s
xml:id
="
echoid-s7796
"
xml:space
="
preserve
">Fiat vt 100000. </
s
>
<
s
xml:id
="
echoid-s7797
"
xml:space
="
preserve
">ſinus totus ad 65275. </
s
>
<
s
xml:id
="
echoid-s7798
"
xml:space
="
preserve
">ſinum cõplementi diſtantiæ So-
<
lb
/>
lis à meridie, ita 69743. </
s
>
<
s
xml:id
="
echoid-s7799
"
xml:space
="
preserve
">medietas rectæ compoſitæ ex ſinu altitudinis meridianæ, & </
s
>
<
s
xml:id
="
echoid-s7800
"
xml:space
="
preserve
">ſinu depreſ-
<
lb
/>
ſionis meridianæ, ad aliud, inuenieturq; </
s
>
<
s
xml:id
="
echoid-s7801
"
xml:space
="
preserve
">hic ferè numerus 45524. </
s
>
<
s
xml:id
="
echoid-s7802
"
xml:space
="
preserve
">qui additus ad 23105. </
s
>
<
s
xml:id
="
echoid-s7803
"
xml:space
="
preserve
">differen
<
lb
/>
tiam inter medietatem rectæ compoſitæ ex ſinu altitudinis meridianæ, & </
s
>
<
s
xml:id
="
echoid-s7804
"
xml:space
="
preserve
">ſinu depreſſionis meri-
<
lb
/>
dianæ, & </
s
>
<
s
xml:id
="
echoid-s7805
"
xml:space
="
preserve
">ſinum altitudinis meridianæ, (quia Sol ponitur in parallelo boreali, & </
s
>
<
s
xml:id
="
echoid-s7806
"
xml:space
="
preserve
">diſtantia Solis à
<
lb
/>
meridie minor quàm hor. </
s
>
<
s
xml:id
="
echoid-s7807
"
xml:space
="
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">6.) </
s
>
<
s
xml:id
="
echoid-s7808
"
xml:space
="
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">facit 68629. </
s
>
<
s
xml:id
="
echoid-s7809
"
xml:space
="
preserve
">Cuius arcus grad. </
s
>
<
s
xml:id
="
echoid-s7810
"
xml:space
="
preserve
">43. </
s
>
<
s
xml:id
="
echoid-s7811
"
xml:space
="
preserve
">Min. </
s
>
<
s
xml:id
="
echoid-s7812
"
xml:space
="
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">20. </
s
>
<
s
xml:id
="
echoid-s7813
"
xml:space
="
preserve
">dabit altitudinem Solis
<
lb
/>
ad oblatam horam.</
s
>
<
s
xml:id
="
echoid-s7814
"
xml:space
="
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"/>
</
p
>
<
note
position
="
left
"
xml:space
="
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">30</
note
>
<
p
>
<
s
xml:id
="
echoid-s7815
"
xml:space
="
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">RVRSVS Sole in eodem parallelo exiſtente, inquirenda ſit altitudo Solis ad horam 6. </
s
>
<
s
xml:id
="
echoid-s7816
"
xml:space
="
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">à me-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0147-07
"
xlink:href
="
note-0147-07a
"
xml:space
="
preserve
">Exemplum ſe-
<
lb
/>
cundum.</
note
>
ridie, vel media nocte. </
s
>
<
s
xml:id
="
echoid-s7817
"
xml:space
="
preserve
">Differentia inter 69743. </
s
>
<
s
xml:id
="
echoid-s7818
"
xml:space
="
preserve
">medietatem rectæ compoſitæ ex ſinu altitudinis
<
lb
/>
meridianæ, & </
s
>
<
s
xml:id
="
echoid-s7819
"
xml:space
="
preserve
">ſinu depreſſionis meridianæ, & </
s
>
<
s
xml:id
="
echoid-s7820
"
xml:space
="
preserve
">92848. </
s
>
<
s
xml:id
="
echoid-s7821
"
xml:space
="
preserve
">ſinũ altitudinis meridianę
<
unsure
/>
, nẽpe 23105. </
s
>
<
s
xml:id
="
echoid-s7822
"
xml:space
="
preserve
">erit
<
lb
/>
ſinus altitudinis Solis quæſitæ; </
s
>
<
s
xml:id
="
echoid-s7823
"
xml:space
="
preserve
">quia tunc Sol eſt borealis, habetq́ue diſtantiam à meridie æqualem
<
lb
/>
quadranti, ſiue 6. </
s
>
<
s
xml:id
="
echoid-s7824
"
xml:space
="
preserve
">horis. </
s
>
<
s
xml:id
="
echoid-s7825
"
xml:space
="
preserve
">Quare Solis altitudo tunc erit grad. </
s
>
<
s
xml:id
="
echoid-s7826
"
xml:space
="
preserve
">13. </
s
>
<
s
xml:id
="
echoid-s7827
"
xml:space
="
preserve
">Min. </
s
>
<
s
xml:id
="
echoid-s7828
"
xml:space
="
preserve
">22. </
s
>
<
s
xml:id
="
echoid-s7829
"
xml:space
="
preserve
">ferè. </
s
>
<
s
xml:id
="
echoid-s7830
"
xml:space
="
preserve
">Quæ etiã hoc modo
<
lb
/>
inuenietur, vt ante demonſtrauimus. </
s
>
<
s
xml:id
="
echoid-s7831
"
xml:space
="
preserve
">Fiat vt 100000. </
s
>
<
s
xml:id
="
echoid-s7832
"
xml:space
="
preserve
">ſinus totus ad 66913. </
s
>
<
s
xml:id
="
echoid-s7833
"
xml:space
="
preserve
">ſinũ altitudinis poli, ita
<
lb
/>
34529. </
s
>
<
s
xml:id
="
echoid-s7834
"
xml:space
="
preserve
">ſinus declinationis ad aliud, reperieturq́; </
s
>
<
s
xml:id
="
echoid-s7835
"
xml:space
="
preserve
">hic ferèſinus 23104. </
s
>
<
s
xml:id
="
echoid-s7836
"
xml:space
="
preserve
">altitudinis Solis, vt ſupra.</
s
>
<
s
xml:id
="
echoid-s7837
"
xml:space
="
preserve
"/>
</
p
>
<
note
position
="
right
"
xml:space
="
preserve
">Exemplum t@@-
<
lb
/>
tium.</
note
>
<
p
>
<
s
xml:id
="
echoid-s7838
"
xml:space
="
preserve
">PRÆTEREA Sole eundem parallelum deſcribente, inueſtiganda ſit altitudo Solis ad ho-
<
lb
/>
ram 23. </
s
>
<
s
xml:id
="
echoid-s7839
"
xml:space
="
preserve
">Min. </
s
>
<
s
xml:id
="
echoid-s7840
"
xml:space
="
preserve
">30. </
s
>
<
s
xml:id
="
echoid-s7841
"
xml:space
="
preserve
">ab occaſu, vel ad horam 0. </
s
>
<
s
xml:id
="
echoid-s7842
"
xml:space
="
preserve
">Min. </
s
>
<
s
xml:id
="
echoid-s7843
"
xml:space
="
preserve
">30. </
s
>
<
s
xml:id
="
echoid-s7844
"
xml:space
="
preserve
">ab ortu, ita vt diſtantia à meridie ſit hor. </
s
>
<
s
xml:id
="
echoid-s7845
"
xml:space
="
preserve
">6.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s7846
"
xml:space
="
preserve
">Min. </
s
>
<
s
xml:id
="
echoid-s7847
"
xml:space
="
preserve
">47. </
s
>
<
s
xml:id
="
echoid-s7848
"
xml:space
="
preserve
">hoc eſt, grad. </
s
>
<
s
xml:id
="
echoid-s7849
"
xml:space
="
preserve
">101. </
s
>
<
s
xml:id
="
echoid-s7850
"
xml:space
="
preserve
">Min. </
s
>
<
s
xml:id
="
echoid-s7851
"
xml:space
="
preserve
">45. </
s
>
<
s
xml:id
="
echoid-s7852
"
xml:space
="
preserve
">Fiat vt 100000. </
s
>
<
s
xml:id
="
echoid-s7853
"
xml:space
="
preserve
">ſinus totus ad 20364. </
s
>
<
s
xml:id
="
echoid-s7854
"
xml:space
="
preserve
">ſinum complementi di-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0147-09
"
xlink:href
="
note-0147-09a
"
xml:space
="
preserve
">40</
note
>
ſtantiæ Solis à meridie;</
s
>
<
s
xml:id
="
echoid-s7855
"
xml:space
="
preserve
">
<
unsure
/>
ita 69743. </
s
>
<
s
xml:id
="
echoid-s7856
"
xml:space
="
preserve
">medietas rectæ compoſitæ ex ſinu altitudinis meridiane,
<
unsure
/>
& </
s
>
<
s
xml:id
="
echoid-s7857
"
xml:space
="
preserve
">ſinu
<
lb
/>
depreſſionis meridianæ, ad aliud, inuenieturq; </
s
>
<
s
xml:id
="
echoid-s7858
"
xml:space
="
preserve
">hic quaſi numerus 14202. </
s
>
<
s
xml:id
="
echoid-s7859
"
xml:space
="
preserve
">qui ablatus ex 23105.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s7860
"
xml:space
="
preserve
">differe@@ia inter medietatem prædictam, & </
s
>
<
s
xml:id
="
echoid-s7861
"
xml:space
="
preserve
">ſinum altitudinis meridianæ, (quia Sol in parallelo
<
lb
/>
boreali exiſtens ponitur habere maiorem diſtãtiam à meridie, quà m 6. </
s
>
<
s
xml:id
="
echoid-s7862
"
xml:space
="
preserve
">hor.) </
s
>
<
s
xml:id
="
echoid-s7863
"
xml:space
="
preserve
">relinquit 8903. </
s
>
<
s
xml:id
="
echoid-s7864
"
xml:space
="
preserve
">ſinũ
<
lb
/>
altitudinis Solis illa hora, atque adeo Solis altitudo complectetur grad. </
s
>
<
s
xml:id
="
echoid-s7865
"
xml:space
="
preserve
">5. </
s
>
<
s
xml:id
="
echoid-s7866
"
xml:space
="
preserve
">Min. </
s
>
<
s
xml:id
="
echoid-s7867
"
xml:space
="
preserve
">7.</
s
>
<
s
xml:id
="
echoid-s7868
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s7869
"
xml:space
="
preserve
">POSTREMO altitudo Solis inuenienda ſit hora 3. </
s
>
<
s
xml:id
="
echoid-s7870
"
xml:space
="
preserve
">poſt meridiem, vel hora 9. </
s
>
<
s
xml:id
="
echoid-s7871
"
xml:space
="
preserve
">poſt mediam
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0147-10
"
xlink:href
="
note-0147-10a
"
xml:space
="
preserve
">Exemplũ quar-
<
lb
/>
tum.</
note
>
noctem, Sole in principio ♐, vel ♒, exiſte
<
unsure
/>
nte. </
s
>
<
s
xml:id
="
echoid-s7872
"
xml:space
="
preserve
">Fiat, vt 100000. </
s
>
<
s
xml:id
="
echoid-s7873
"
xml:space
="
preserve
">ſinus totus ad 70710. </
s
>
<
s
xml:id
="
echoid-s7874
"
xml:space
="
preserve
">ſinum com-
<
lb
/>
plementi diſtantiæ Solis à meridie, ita 69743. </
s
>
<
s
xml:id
="
echoid-s7875
"
xml:space
="
preserve
">medietas rectæ compoſitę ex ſinu altitudinis meri-
<
lb
/>
dianæ, & </
s
>
<
s
xml:id
="
echoid-s7876
"
xml:space
="
preserve
">ſinu depreſſionis meridianę, (Erit autem hæc eadem, quę prius, cum ♐, & </
s
>
<
s
xml:id
="
echoid-s7877
"
xml:space
="
preserve
">♒, ſint ſigna
<
lb
/>
oppoſita ſignis ♊, & </
s
>
<
s
xml:id
="
echoid-s7878
"
xml:space
="
preserve
">♌. </
s
>
<
s
xml:id
="
echoid-s7879
"
xml:space
="
preserve
">Conſtat autẽ ex dictis; </
s
>
<
s
xml:id
="
echoid-s7880
"
xml:space
="
preserve
">altitudinẽ meridianã vnius ſigni eſſe depreſſionem
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0147-11
"
xlink:href
="
note-0147-11a
"
xml:space
="
preserve
">50</
note
>
alterius, & </
s
>
<
s
xml:id
="
echoid-s7881
"
xml:space
="
preserve
">contra.) </
s
>
<
s
xml:id
="
echoid-s7882
"
xml:space
="
preserve
">ad aliud, reperieturq́; </
s
>
<
s
xml:id
="
echoid-s7883
"
xml:space
="
preserve
">propemodũ hic numerus 49315. </
s
>
<
s
xml:id
="
echoid-s7884
"
xml:space
="
preserve
">à quo ſi auferatur
<
lb
/>
23105. </
s
>
<
s
xml:id
="
echoid-s7885
"
xml:space
="
preserve
">differentia inter medietatem ptædictam, & </
s
>
<
s
xml:id
="
echoid-s7886
"
xml:space
="
preserve
">ſinum altitudinis meridianæ, (quia Sol in au-
<
lb
/>
ſtrali parallelo ponitur.) </
s
>
<
s
xml:id
="
echoid-s7887
"
xml:space
="
preserve
">relinquetur ſinus altitudinis Solis 26210. </
s
>
<
s
xml:id
="
echoid-s7888
"
xml:space
="
preserve
">cuius arcus grad. </
s
>
<
s
xml:id
="
echoid-s7889
"
xml:space
="
preserve
">15. </
s
>
<
s
xml:id
="
echoid-s7890
"
xml:space
="
preserve
">Min. </
s
>
<
s
xml:id
="
echoid-s7891
"
xml:space
="
preserve
">12.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s7892
"
xml:space
="
preserve
">dabit Solis altitudinem tunc temporis. </
s
>
<
s
xml:id
="
echoid-s7893
"
xml:space
="
preserve
">Atq; </
s
>
<
s
xml:id
="
echoid-s7894
"
xml:space
="
preserve
">ita manifeſte patet ratio, qua ex hora cognita in noti-
<
lb
/>
tiam altitudinis Solis poſſimus peruenire. </
s
>
<
s
xml:id
="
echoid-s7895
"
xml:space
="
preserve
">Explicemus nunc alteram propoſitionis partem, qua ra
<
lb
/>
tione videlicet ex Solis altitudine cognita horam cognoſcamus; </
s
>
<
s
xml:id
="
echoid-s7896
"
xml:space
="
preserve
">quod ita exequemur.</
s
>
<
s
xml:id
="
echoid-s7897
"
xml:space
="
preserve
"/>
</
p
>
<
note
position
="
right
"
xml:space
="
preserve
">Qua ratione
<
lb
/>
hora ex altitudi
<
lb
/>
ne Solis ſupra
<
lb
/>
Horizontem co
<
lb
/>
gnita reperia-
<
lb
/>
tur.</
note
>
<
p
>
<
s
xml:id
="
echoid-s7898
"
xml:space
="
preserve
">CVM in eiſdem figuris ſit, vt K λ, medietas rectæ compoſitæ ex ſinu altitudinis meridianę,
<
lb
/>
& </
s
>
<
s
xml:id
="
echoid-s7899
"
xml:space
="
preserve
">ſinu depreſſionis meridianę, ad λ T, differẽtiam inter T N, ſinum altitudinis Solis, & </
s
>
<
s
xml:id
="
echoid-s7900
"
xml:space
="
preserve
">λ N, dif-
<
lb
/>
ferentiam inter medietatem prędictam, & </
s
>
<
s
xml:id
="
echoid-s7901
"
xml:space
="
preserve
">ſinum altitudinis meridianę, ita K M, ſinus totus ad
<
lb
/>
M R, ſinum complementi diſtantie Solis à meridie: </
s
>
<
s
xml:id
="
echoid-s7902
"
xml:space
="
preserve
">Si fiat vt medietas rectę compoſitę ex ſinu al-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0147-13
"
xlink:href
="
note-0147-13a
"
xml:space
="
preserve
">2. ſexti.</
note
>
titudinis meridianę, & </
s
>
<
s
xml:id
="
echoid-s7903
"
xml:space
="
preserve
">ſinu depreſſionis meridianę, a differentiam, quam inter ſe habent </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>
