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.
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nus inſtrum@ta, quibus horæ depingũtur, conficienda, vt proprijs in locis explicabimus.</
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<
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xml:space
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<
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<
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xml:space
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rallelo, ducaturq́; </
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<
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<
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<
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<
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file
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xlink:href
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<
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rizontis A C, parallela agatur ſecans K N, ſinum altitudinis meridianæ in T. </
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<
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nis ſectio paralleli Solis, & </
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<
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">paralleli Horizontis, in quo Sol exiſtit tempore obſeruationis. </
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<
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xml:space
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enim vterq; </
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<
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">parallelus ad Meridianum rectus eſt, erit quoq; </
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<
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<
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xml:space
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recta, & </
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<
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<
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<
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<
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<
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">Euclidis, ad rectam K L, perpendicularis. </
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<
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xml:space
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">Cum igitur tunc Sol
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in communi illa ſectione exiſtat, ponaturq́; </
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<
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xml:space
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">in puncto O, erit O R, perpendicularis ducta ad K L,
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communis ſectio dictorum parallelorum. </
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<
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xml:space
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">Quare parallelus Horizontis per centrum Solis tunc
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ductus ſecabit Meridianum in R, ac proinde parallela R T, communis ſectio erit Meridiani & </
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<
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ralleli Horizontis. </
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<
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">Meridianus enim in Horizonte, & </
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<
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<
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<
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parallelas. </
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<
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xml:space
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">Erit ergo T N, ſinus rectus altitudinis Solis, hoc eſt, illius arcus, qui inter A C, & </
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<
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lelam R T, interijcitur in Verticali circulo per centrum Solis ducto, pro quo accipi poteſt Meri-
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dianus A B C D. </
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<
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xml:space
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Verticalium, vt patet.</
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<
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</
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<
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<
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xml:space
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">ANTE omnia igitur explorãda eſt diſtãtia Solis à meridie quo ad gradus, quã data hora quæ-
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xlink:label
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xml:space
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">Diſtantia Solis
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à meridie quo
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ad gradus, quo
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modo ex data
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hora cognoſca-
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tur.</
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cunq; </
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<
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<
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xml:space
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">Si de horis aſtronomicis loquamur, diſtabit hora 1. </
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<
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<
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</
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<
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<
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xml:space
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">à media nocte à Meridiano ſupra Horizontẽ, hoc eſt, à meridie, grad. </
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<
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<
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<
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<
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die, vel 10. </
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<
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<
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<
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">&</
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<
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">c. </
s
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<
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xml:id
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xml:space
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">cùm ſingulæ horę cõplectãtur grad. </
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<
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xml:space
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<
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xml:space
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">Si vero de horis Ita-
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licis ſermo habeatur, vel Babylonicis, cognoſcendũ eſt prius tẽpus meridiei in die propoſito, vt in
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cap. </
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<
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<
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xml:space
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">Sphæræ docuimus, cũ de arcubus ſemidiurnis ageremus. </
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<
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<
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erit intelligere, quãta ſit diſtãtia horæ datæ à meridiano tẽpore. </
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<
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xml:space
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<
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<
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<
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17 {1/2}. </
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<
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<
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<
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xml:space
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">ab ortu, quod quidẽ euenit, quãdo dies continet horas 13. </
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<
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xml:space
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horam 20. </
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<
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<
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<
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<
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<
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xml:space
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">ab ortu, diſtare à meridie hor. </
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<
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xml:space
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">2 {1/2}. </
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<
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<
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<
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xml:space
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</
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<
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<
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xml:space
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">&</
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<
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xml:space
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">c. </
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<
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xml:space
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">Si deniq; </
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<
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xml:space
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">horæ antiquæ, ſiue inæquales fuerint propoſitæ, diuidẽdus erit arcus diurnus per
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12. </
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<
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xml:space
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">vt ſciamus quantitatem vnius horæ inæqualis. </
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>
<
s
xml:id
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xml:space
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">Hinc enim facile diſtantiã Solis à meridie ex da
<
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ta hora inæquali cognoſcemus. </
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<
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xml:space
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<
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<
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net horas 15. </
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<
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<
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xml:space
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>
<
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xml:space
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">quo diuiſo per 12. </
s
>
<
s
xml:id
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xml:space
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">reperiemus vnam horam inæqualẽ comprehendere hor. </
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<
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1. </
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<
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>
<
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xml:space
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>
<
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xml:space
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">Sec. </
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<
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<
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xml:space
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<
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xml:space
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>
<
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xml:space
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">inæqualis v.</
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<
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xml:id
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xml:space
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>
<
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xml:id
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xml:space
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">vel 8. </
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<
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xml:id
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xml:space
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">diſtabit à meri-
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die, ſiue ab hora 6. </
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<
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xml:space
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>
<
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xml:space
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<
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<
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xml:space
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">30. </
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>
<
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xml:space
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<
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xml:space
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>
<
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xml:id
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xml:space
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">At hora 3. </
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>
<
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xml:space
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">inæqualis vel 9. </
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>
<
s
xml:id
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"
xml:space
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">aberit à meridie
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hor. </
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<
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xml:space
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">3. </
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>
<
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xml:space
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">Min. </
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<
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<
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xml:space
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">& </
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>
<
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xml:space
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">ſic de cęteris. </
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>
<
s
xml:id
="
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"
xml:space
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">Ex quibus horis æqualibus reperiemus diſtantiam Solis à meridie
<
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quo ad gradus, vt prius. </
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>
<
s
xml:id
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xml:space
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">Cognita porro diſtantia Solis à meridie, cognitum etiam erit eius com-
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plementum, nempe differentia inter quadrantem, & </
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>
<
s
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">dictam diſtantiam.</
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>
<
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