Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
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tervallo
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CA
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deſeribatur Globus exterior
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ABD,
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& intra hunc Glo
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bum a Rota, cujus diameter ſit
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AO,
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deſcribantur duæ Semicycloides
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AQ, AS,
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quæ Globum interiorem tangant in
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Q
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&
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S
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& Globo ex
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teriori occurrant in
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A.
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A puncto illo
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A,
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Filo
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APT
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longitudinem
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AR
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æquante, pendeat corpus
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T,
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& ita intra Semicycloides
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AQ,
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AS
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oſcilletur, ut quoties pendulum digreditur a perpendiculo
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AR,
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Filum parte ſui ſuperiore
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AP
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applicetur ad Semicycloidem illam
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APS
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verſus quam peragitur motus, & circum eam ceu obſtacu
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lum flectatur, parteque reliqua
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PT
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cui Semicyclois nondum obji
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citur, protendatur in lineam rectam; & pondus
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T
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oſcillabitur in
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Cycloide data
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QRS.
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E. F.
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DE MOTU
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CORPORUM</
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PT
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tum Cycloidi
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QRS
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in
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T,
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tum circulo
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<
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QOS
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in
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V,
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agaturque
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CV;
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& ad Fili partem rectam
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PT,
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e punctis
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extremis
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P
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ac
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T,
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erigantur perpendicula
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PB, TW,
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occurrentia re
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ctæ
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CV
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in
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B
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&
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W.
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Patet, ex conſtructione & geneſi ſimilium Fi
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gurarum
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AS, SR,
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perpendicula illa
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PB, TW
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abſcindere de
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CV
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lon
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gitudines
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VB, VW
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Rotarum diametris
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OA, OR
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æquales. </
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<
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>Eſt igi
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tur
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TP
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ad
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VP
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(duplum ſinum anguli
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VBP
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exiſtente 1/2
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BV
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ra-</
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