Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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<
s
id
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">Nonò, ſi aſſumatur quodlibet punctum intra rotam v.g. punctum
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X perueniet in A eo tempore, quo B erit in M, vt patet; </
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<
s
id
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N25D87
">hinc moue
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bitur per lineam motus mixti, qui accedit propiùs ad circularem;
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quemadmodum enim cum rota mouetur in plano rectilineo, punctum
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illius, quod accedit propiùs ad centrum mouetur eo motu, qui accedit
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propiùs ad motum centri, id eſt ad motum rectum. </
s
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<
s
id
="
N25D93
">Similiter punctum,
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quod accedit propiùs ad Q in hac rota mouetur eo motu, qui accedit
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propiùs ad motum centri C, id eſt ad motum circularem; igitur hic mo
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tus puncti X plùs participat de motu centri, quàm de motu orbis, qui
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ſcilicet in eo minimus eſt. </
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>
</
p
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<
p
id
="
N25D9F
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type
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<
s
id
="
N25DA1
">Decimò, hinc ſi motus minoris rotæ radio CX dirigatur à motu ma
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ioris radio CB; </
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<
s
id
="
N25DA7
">hæc quidem ita mouetur vt ſingula puncta BE re
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ſpondeant ſingulis BT, non tamen ſingula XY ſingulis XB; </
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>
<
s
id
="
N25DAD
">ſed hic
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etiam accerſendi ſunt contactus illi inadæquati extremi plùs, minuſue,
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de quibus ſuprà; eſt enim prorſus eadem difficultas, quam ſuprà diſcuſ
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ſimus ſuo titulo rotæ Ariſtotelicæ, quam hîc tantùm indicaſſe ſufficiat,
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cùm ex prædictis principiis omninò ſoluatur. </
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>
</
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<
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id
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N25DB9
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type
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">
<
s
id
="
N25DBB
">Vndecimò ſimiliter, ſi minor rota motum maioris dirigat; </
s
>
<
s
id
="
N25DBF
">haud du
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biè maioris idem punctum pluribus punctis ſuperficiei curuæ, cui in
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cumbit inadæquato dumtaxat contactu reſpondebit, eritque diuerſa li
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nea huius motus, & aliqua puncta retroagentur; </
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<
s
id
="
N25DC9
">quod quomodo fiat,
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iam ſuprà explicuimus; quod verò ſpectat ad proprietates iſtarum linea
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rum, in ſingularem tractatum cas remittimus. </
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Theorema
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16.
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Explicari poſſunt omnia phœnomena, quæ in ſuperficie curua circuli
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maioris rotatur
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; </
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>
<
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id
="
N25DEC
">ſit enim ſuperficies curua BF radius AB, ſitque rota
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radio NB, cuius peripheria eſt æqualis BF; </
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>
<
s
id
="
N25DF2
">igitur M tanget C, O tan
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get D, & B tandem tanget F; igitur mouetur hæc rota motu mixto ex
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duobus circularibus. </
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</
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<
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id
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type
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">
<
s
id
="
N25DFC
">Primò, ſignari poſſunt omnia puncta huius lineæ v. g. MIHF
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per quæ ducenda eſt linea curua, cuius etiam affectiones aliàs demon
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ſtrabimus. </
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<
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id
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">Secundò, punctum B mouetur initio tardiſſimè, O velociſſimè; </
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>
<
s
id
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N25E0D
">ratio
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nem iam bis attulimus; </
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>
<
s
id
="
N25E13
">quia ſcilicet maior eſt motus, cum motus centri
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conuenit cum motu orbis; minor verò è contrario. </
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>
</
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>
<
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id
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type
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<
s
id
="
N25E1B
">Tertiò, motus huius rotæ accedit propiùs ad motum rotæ in plano
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rectilineo, quàm motus rotæ ſuperioris; quia BF, quæ eſt ſuperficies ma
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ioris circuli, accedit propiùs ad lineam rectam. </
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>
</
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type
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">
<
s
id
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N25E25
">Quartò, ſi ſit minor rota radio NR cuius motus dirigatur à motu
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maioris radio NB, deſcribit lineam, quæ accedit propiùs ad lineam
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rectam RSTVX, ſeu potiùs ad motum centri, quod mouetur motu
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circulari per arcum NG, à quo non recedit, vt patet: </
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<
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">porrò minor
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rota percurrit maiorem ſuperficiem ſua peripheria, quod etiam expli-</
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