Benedetti, Giovanni Battista de
,
Io. Baptistae Benedicti ... Diversarvm specvlationvm mathematicarum, et physicarum liber : quarum seriem sequens pagina indicabit ; [annotated and critiqued by Guidobaldo Del Monte]
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EPISTOL AE.
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xlink:href
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gentiæ gratia cogita ſilum illum (exempli adducti ab illis doctiſſimis viris) cui pon
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dus appenſum eſt, æqualem eſſe axi orizontis, hoc eſt eius extremitatem immobi-
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lem eſſe in primo mobili, & in ipſo zenit tui orizontis, </
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<
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pidis per tantum interuallum, quantum eſt diameter terræ, inſenſibiliter differret à
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linea recta, & cum lapis diſtans à centro mundi per ſemidiametrum terræ, iret re-
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, vt ſcis, ergo idem faceret ſi ſilum longius eſſet per dictum terræ ſemidia-
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metrum, ita vt poſſetipſum centrum attingere, nam differentia illa ſemidiametri
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terræ, ferè nulla eſt reſpectu ſemidiametri ipſius primi mobilis.</
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">AN PENTAGONVS AB ALBERTO DVRERO
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deſcriptus æquiangulus ſit.</
head
>
<
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gnatum, æquiangulum non eſſe. </
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lem ei quæ à Durero ponitur, in qua primò, ducta ſit linea
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& habe
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bimus angulum
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graduum .60. talium qualium duo recti fuerint gra
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360.</
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vel .30. talium qualium duo recti fuerint .180. nam ex ſuppoſito, arcus
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>
eſt
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ſexta pars totius circunferentiæ, angulus vero
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>
rectus eſt, eo quod
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rectus
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etiam ſit, </
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reſiduus ex recto erit graduum .60. talium, ut rectus
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eſt .90. angulus verò
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erit gra .15. eorundem.</
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<
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ad
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>
quæ vt ſinus anguli
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>
erit par-
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tium .86602. talium qualium
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>
erit .100000. quæ quidem
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>
vt chorda arcus
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>.a.
<
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o.</
var
>
eſt partium .51762. talium qualium
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var
>
vel
<
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>
ſemidiameter eſt .100000.</
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<
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(exi
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ſtente
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>
graduum .30.) eſt
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25881.</
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ex quo
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erit partium
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44827.</
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talium qualium
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erit
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100000. vnde angulus
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>
cuius ſi
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nus eſt
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>
erit graduum .26. min .38
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qui quidem angulus, ſumptus cum an
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gulo
<
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erit gra .86. min .38. </
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pta denique hac ſumma ex duobus
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rectis gra .180. reliquum erit gra .93.
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min .22. ideſt angulus
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cui addi
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tus cum fuerit angulus
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>.o.a.c.</
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>
gra .15.
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talium, habebimus angulum
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>
<
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graduum .108. min .22. exuperantem
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verum angulum pentagoni per min
<
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22.</
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vel ſic, cum inuentus fuerit angu-
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lus
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gra .26. min .38. ſi ex vno re
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cto demptus fuerit, relinquetur an-
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gulus
<
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>
gra .63. min .22. qui qui-
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dem collectus cum fuer it cum angu-
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lo
<
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reſiduo ex re cto dempto angulo
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>
grad .60. qui
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>
eſt grad .30. & </
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