Apian, Petrus
,
Instrvmentvm Sinvvm, sev primi mobilis
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TABVLARVM SINVVM PER PET. APIANVM.
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polus 48. </
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<
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<
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xml:space
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<
s
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xml:space
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cũ Auguſta ad horã intronizationis habet in aſcendent 5. </
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<
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<
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ex præcedentibus ꝓnunciatis amplitudinem aſcendentis in eleuatione 38. </
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<
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<
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</
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<
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<
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<
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do in ſinũ cõplementi declinationis 5. </
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<
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<
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arcus eius eſt 74. </
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<
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<
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<
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aſcenſionalis, qua ſubtracta ab aſcenſione recta 5. </
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<
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<
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remanent 111. </
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<
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<
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<
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<
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38. </
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<
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<
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<
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<
s
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xml:space
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<
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<
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<
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48. </
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<
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<
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<
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<
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<
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<
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dinis duarum iſtarum urbium, quam inquirendam propoſui.</
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<
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dinis, an eundem habeant uno momento aſcendentem uidere.</
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</
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<
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<
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">Præmonitũ hic te principio uolo, ut in hac operatiõe ijs tantũ utare regionibus, q̃lati
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tudine ſua cõplementũ maximæ declinationis nõ ſuꝑgrediũtur. </
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<
s
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loco℞ ſint æquales, & </
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<
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fieri nõ poteſt, ut uno aliq̊ momento urbes iſtæ idem habeãt punctũ eclypticæ in aſcen-
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dente. </
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<
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">Quũ aũt duæ ciuitates inæquales habent latitudines, tuncita ꝓcedendũ tibi erit.
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</
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<
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<
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in maiorem diuide, arcus quotiẽtis dicetur argumentũ cõmunicationis. </
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<
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num cõplementi latitudinis maioris in ſinũ differentiæ lõgitudinũ duo℞ loco℞, & </
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<
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<
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<
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<
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<
emph
style
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it
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<
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<
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<
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<
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<
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<
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style
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<
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<
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<
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<
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style
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<
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<
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style
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<
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<
emph
style
="
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<
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<
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<
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<
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</
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quotientis uocabis inuentũ primũ. </
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<
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xml:space
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ti cũ ſinu latitudinis minoris, minorem duc in totũ & </
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<
s
xml:id
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quotientis ſubtrahe latitudinẽ minorẽ, reſidui dic inuentũ ſecundũ. </
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<
s
xml:id
="
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xml:space
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">Porrò inde duc ſinus
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horũ inuentorũ in ſeipſos, & </
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<
s
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<
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xml:space
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relinquet inuentũ tertiũ. </
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<
s
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xml:space
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<
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ꝓductũ in maiorẽ diuide, & </
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<
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xml:space
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">arcus quotientis ob diſcrimen uocabitur numerus compa-
<
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randus, is ſi minor fuerit argumento cõmunicationis iã antea inuento, argumentũ erit
<
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tibi certũ urbes iſtas ꝓpoſitas aliq̊ momẽto totius anni die naturali idem habere punctũ
<
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eclypticæ in aſcendente. </
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>
<
s
xml:id
="
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xml:space
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">Sed ſi numerus cõparandus æ qualis extiterit argumento cõmu
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nicationis, ſemel dũtaxat in horoſcopo cõmunicabũt. </
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<
s
xml:id
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xml:space
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randus ſit maior argumẽto, nõ eſt q̊d putes un̈ fieri poſſe, ut iſtæ ciuitates eodẽ inſtanti
<
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/>
habeãt idem punctũ eclypticæ in aſcendente: </
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>
<
s
xml:id
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xml:space
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">quæ aũt nõ habent differentiã lõgitudinis,
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<
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xml:space
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PLVM
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<
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<
unsure
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pi.</
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>
</
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illæ poterunt q̊tidie principiũ γ & </
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>
<
s
xml:id
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xml:space
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<
s
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>
<
s
xml:id
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xml:space
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">?Video rem hanc
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paulo eſſe obſcuriorẽ, ̈ q̃ ſine exemplo tibi poſſet intelligi, ꝓpono igit̃ hic rurſus locũ
<
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intronizatiõis, is habet 48. </
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>
<
s
xml:id
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xml:space
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<
s
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">latitudinis, & </
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>
<
s
xml:id
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xml:space
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">rurſus aliã ciuitatẽ q̃ habet 6. </
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<
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xml:id
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xml:space
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">gr. </
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>
<
s
xml:id
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xml:space
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">30. </
s
>
<
s
xml:id
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xml:space
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">mi. </
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>
<
s
xml:id
="
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xml:space
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">ab
<
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/>
iſta lõgitudine, & </
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>
<
s
xml:id
="
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xml:space
="
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">latitudo illius eſt 38. </
s
>
<
s
xml:id
="
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"
xml:space
="
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">gra. </
s
>
<
s
xml:id
="
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xml:space
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preserve
">37. </
s
>
<
s
xml:id
="
echoid-s5067
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s5068
"
xml:space
="
preserve
">Nunc iã ex præſcripto oꝑationis du-
<
lb
/>
co ſinũ maximæ declinationis Solis in totũ, & </
s
>
<
s
xml:id
="
echoid-s5069
"
xml:space
="
preserve
">diuido in ſinũ cõplementi minoris latitu
<
lb
/>
dinis, at in q̊tiente ꝓueniunt 51033. </
s
>
<
s
xml:id
="
echoid-s5070
"
xml:space
="
preserve
">arcuserit 30. </
s
>
<
s
xml:id
="
echoid-s5071
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s5072
"
xml:space
="
preserve
">41. </
s
>
<
s
xml:id
="
echoid-s5073
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s5074
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s5075
"
xml:space
="
preserve
">uocabitur argumentũ
<
lb
/>
cõmunicationis. </
s
>
<
s
xml:id
="
echoid-s5076
"
xml:space
="
preserve
">Deinde duco ſinũ cõplementi latitudinis maioris in ſinũ differẽtiæ lon
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0067-03
"
xlink:href
="
note-0067-03a
"
xml:space
="
preserve
">
<
emph
style
="
it
">Inuentũ pri</
emph
>
<
lb
/>
<
emph
style
="
it
">mũ eſt gra.</
emph
>
<
lb
/>
<
emph
style
="
it
">4. mi. 21.</
emph
>
</
note
>
gitudinis. </
s
>
<
s
xml:id
="
echoid-s5077
"
xml:space
="
preserve
">ſ. </
s
>
<
s
xml:id
="
echoid-s5078
"
xml:space
="
preserve
">11320. </
s
>
<
s
xml:id
="
echoid-s5079
"
xml:space
="
preserve
">ꝓductũ diuido in totũ, & </
s
>
<
s
xml:id
="
echoid-s5080
"
xml:space
="
preserve
">in q̊tiente ꝓueniunt 7574. </
s
>
<
s
xml:id
="
echoid-s5081
"
xml:space
="
preserve
">arcus eius eſt 4.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s5082
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s5083
"
xml:space
="
preserve
">21. </
s
>
<
s
xml:id
="
echoid-s5084
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s5085
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s5086
"
xml:space
="
preserve
">dicetur inuentũ primũ, eius ſinus 99711. </
s
>
<
s
xml:id
="
echoid-s5087
"
xml:space
="
preserve
">erit diuiſor, ꝑ quem diuido produ-
<
lb
/>
ctũ q̊d ex multiplicatione totius & </
s
>
<
s
xml:id
="
echoid-s5088
"
xml:space
="
preserve
">latitudinis maioris ꝓuenerat. </
s
>
<
s
xml:id
="
echoid-s5089
"
xml:space
="
preserve
">Arcus quotientis eſt
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0067-04
"
xlink:href
="
note-0067-04a
"
xml:space
="
preserve
">
<
emph
style
="
it
">Inuẽtum ſe</
emph
>
<
lb
/>
<
emph
style
="
it
">cundũ ha-</
emph
>
<
lb
/>
<
emph
style
="
it
">bet gra. 9.</
emph
>
<
lb
/>
<
emph
style
="
it
">mi. 34.</
emph
>
</
note
>
48. </
s
>
<
s
xml:id
="
echoid-s5090
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s5091
"
xml:space
="
preserve
">11. </
s
>
<
s
xml:id
="
echoid-s5092
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s5093
"
xml:space
="
preserve
">inde ſubtraho latitudinem minorẽ, ut remaneat inuentũ. </
s
>
<
s
xml:id
="
echoid-s5094
"
xml:space
="
preserve
">ſecundũ. </
s
>
<
s
xml:id
="
echoid-s5095
"
xml:space
="
preserve
">9. </
s
>
<
s
xml:id
="
echoid-s5096
"
xml:space
="
preserve
">gr.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s5097
"
xml:space
="
preserve
">34. </
s
>
<
s
xml:id
="
echoid-s5098
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s5099
"
xml:space
="
preserve
">Iam duco ſinus primi & </
s
>
<
s
xml:id
="
echoid-s5100
"
xml:space
="
preserve
">ſecundi inuento℞ in ſeipſos, ſcilicet 98609. </
s
>
<
s
xml:id
="
echoid-s5101
"
xml:space
="
preserve
">in 99711. </
s
>
<
s
xml:id
="
echoid-s5102
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s5103
"
xml:space
="
preserve
">
<
lb
/>
productum diuido in totum, quotiens erit 98324. </
s
>
<
s
xml:id
="
echoid-s5104
"
xml:space
="
preserve
">arcus eius de 90. </
s
>
<
s
xml:id
="
echoid-s5105
"
xml:space
="
preserve
">ſubtractus, relinquet
<
lb
/>
10. </
s
>
<
s
xml:id
="
echoid-s5106
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s5107
"
xml:space
="
preserve
">30. </
s
>
<
s
xml:id
="
echoid-s5108
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s5109
"
xml:space
="
preserve
">inuentum ſcilicet tertium. </
s
>
<
s
xml:id
="
echoid-s5110
"
xml:space
="
preserve
">Deinde propono ſinum inuentiprimi 7574. </
s
>
<
s
xml:id
="
echoid-s5111
"
xml:space
="
preserve
">
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0067-05
"
xlink:href
="
note-0067-05a
"
xml:space
="
preserve
">
<
emph
style
="
it
">Inuentũ ter</
emph
>
<
lb
/>
<
emph
style
="
it
">tũ tertium</
emph
>
<
lb
/>
<
emph
style
="
it
">cõprehẽdit</
emph
>
<
lb
/>
<
emph
style
="
it
">gra. 10.</
emph
>
<
lb
/>
<
emph
style
="
it
">mi. 30.</
emph
>
</
note
>
eum duco in totum, productum uero diuido in ſinum inuenti ſecnndi, ſcilicet 18223.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s5112
"
xml:space
="
preserve
">quotiens erit 41562. </
s
>
<
s
xml:id
="
echoid-s5113
"
xml:space
="
preserve
">arcus eius 24. </
s
>
<
s
xml:id
="
echoid-s5114
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s5115
"
xml:space
="
preserve
">34. </
s
>
<
s
xml:id
="
echoid-s5116
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s5117
"
xml:space
="
preserve
">ſupra dictus à nobis eſt numerus compa-
<
lb
/>
randus. </
s
>
<
s
xml:id
="
echoid-s5118
"
xml:space
="
preserve
">Comparo igitur nunc ſiue cenſeo & </
s
>
<
s
xml:id
="
echoid-s5119
"
xml:space
="
preserve
">æſtimo eum erga argumentum communi
<
lb
/>
cationis, qui ſi minor fuerit argumento (ita ut eſt) iudicium id mihi certum eſt, </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>
