. Divers ouvrages . rim, &: hxc illis fubinde ( ar-xogantiùs forfan ) cxprobrabam, Certè mcx quifquilixalicujus funt pretii, in quas fures adcb cupide invo-lent , eafque fibi retinere tantâ pcrtinacià contendant. Polfum tamcn cùmlibuerit, mea à furibus recupcra-jre. Habco enim ad id infrrumcnta valida, fcripta ma-11U, annis &: diebus fuis munita à viriscclcberrimis ; necdeerunt tcftimonia prxlis commilfa à quibufdam, pru-dcntiùs quàm ego de futuro furto pra:fagientibus , id-que multis annis antc furtum ipfum : his, dum ad huevivo, utar, ex amicorum meorumjudicio. Redco ad pr^miffam Propofition
. Divers ouvrages . rim, &: hxc illis fubinde ( ar-xogantiùs forfan ) cxprobrabam, Certè mcx quifquilixalicujus funt pretii, in quas fures adcb cupide invo-lent , eafque fibi retinere tantâ pcrtinacià contendant. Polfum tamcn cùmlibuerit, mea à furibus recupcra-jre. Habco enim ad id infrrumcnta valida, fcripta ma-11U, annis &: diebus fuis munita à viriscclcberrimis ; necdeerunt tcftimonia prxlis commilfa à quibufdam, pru-dcntiùs quàm ego de futuro furto pra:fagientibus , id-que multis annis antc furtum ipfum : his, dum ad huevivo, utar, ex amicorum meorumjudicio. Redco ad pr^miffam Propofitionem de longitudincrrochoidis, de qua nihil, nec publiée, nec privatimmecommunicalfc )am teftatus fum; eam tan>en multis an-nis poftea invenir Anglus quidam vir dodiffimus, &:prxlo pcr fe vel per amicos, fuo nominc vulgavit. Me-chodusillius ànoftrâ planèdiverfaeft, fedconclufio vcra&: elegans. Ait enim portioncm quaracunque femitro- £.ec. à( lAcacL Tom. FI, H h h 41Ô De TrochoidéJ-. choidis AFD , ( fcmicycloidem ille cum multis aliis vo«cat) putà portionem DF à vertice D incipientem, dupîanicfTe tangentis H F. Hanc cnuntiatlonein cum noftracoinciderc, fïc dcmonftramus. Quoniam quatuor arcus FM , M I, I P , PR a:qualesfunc, fecabunt fe inviccm chorda: arquales FP, RM ineodcm pundlo T diamccrî IH; & rcâx IQ^ QT funcarquales; & anguli TFI, TFS aqualcs; fcd & angulusHFR five HFS , ;equalis eft angulo HIF, quiainfilkincarcubus a:qualibus H R, H F ; ergo fumma ,TFS , arqualis cft fumma: angulorum HIF, TFI;.prior aucem fumma conftituit angulum HFT, & pofte-rior fumma a;qualis cft angulo externe HTF in trian-gulo ITF ; aiqualcs funt ergo anguli HFT, HTF ; un-de in triangulo HFT latcra HF, HT funt a:qualia: fedHT cum IT conftituunt diametrum ; ergo &: HF cumIT diametrum conftituunt; &: cftlQ^dimidiaipfius IT; De Trochoide. 4x7 square HF cum dupla IQ^conftituunt diamctrum; &:(icdupla HF cum quadrupla IQ^, diamctri duplum conf
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Keywords: ., bookcentury1600, bookdecade1690, bookpublish, booksubjectgeometry
