Arithmetica Logarithimica . ,A C:<AD,AE proportionates: per ?. & triarigula fimilia: per6 pr. Eucl. & idcirco Be 6,DE 12poportionalesrcftis AB prima? propdrtio-nalium,& AD tertia?.6c fontdata?CD q dif-ferentia fecunda? & teitia?,& BE 15 differen-tia prirra? c* quarta?. thsdatisquerenda? fimt Ab prima &ACfecunda. Auferatur GFequalsrecta? CD, re£ta B E, 15. reftabunt B G oc F E: cx fimul fumpta? funt 6,& eft sc7 differentia priroae & fecunda?, &E-Ediffeferitia tertia? & quarta?*Sunt igitur AB, AD: BG,FE proportionates,perprimumLemma, id eft,vt ante oftendi B c
Arithmetica Logarithimica . ,A C:<AD,AE proportionates: per ?. & triarigula fimilia: per6 pr. Eucl. & idcirco Be 6,DE 12poportionalesrcftis AB prima? propdrtio-nalium,& AD tertia?.6c fontdata?CD q dif-ferentia fecunda? & teitia?,& BE 15 differen-tia prirra? c* quarta?. thsdatisquerenda? fimt Ab prima &ACfecunda. Auferatur GFequalsrecta? CD, re£ta B E, 15. reftabunt B G oc F E: cx fimul fumpta? funt 6,& eft sc7 differentia priroae & fecunda?, &E-Ediffeferitia tertia? & quarta?*Sunt igitur AB, AD: BG,FE proportionates,perprimumLemma, id eft,vt ante oftendi B c, D E: BGfF E funt proportionates- Et per tertrum Lem-ma, vt famma B C, D E 185 ad B C, 6: fie fumma 2? <7, F E 6, ad £c? 2. danturigitur B G 2 differentia prima?& fecunda?,CD 9 differentia fecunda?cktertiar,e5 FE 4diff:ten:ia trtia? & quarta? Et per fecundum Le:nma,cum ratio pri-ma? ad tertiam fit vc 6 ad 12, yel vt B C ad D £, eric vt dirfcrcntia 6 ad 12 rer- k minum. H 66 Arithmetics minum maiorem, fie 11 differentia Ab%ad, prima? & tertia^ad ^D tertia 22*Erunt igitur AB,,i2. AD922. AE,z6. Diagonij autem BD, CE infcriptislateri-bus BC in D£,72:&CDin££,i35:fimul fumpti equantur fa&oaDiago-nijs. per j^ eft igitur fa6tusaDiagonijs207. ipfis. quia triangularbD,AcEfunt gquiangula & iimilia5 &idcirco re&angulum B D,ce eft ad Quadratumj5D,vt 13 ad 11: vel,vt Ac^&AB: erit igitur £Ds/.i7571TJ&C£,/. igitur CBD triangulum datorum laterum 175^3 & in latH§«4 C,c/J«-^-. damefer autem circuli arcumfcripti, ?s* Capvt XXV. DatADiametro, itrvenirt Circuli Peripheriam & Aream^fa SphwtSuperfichm fo Soliditatem. Et data bar urn qualtt?et9iwentrc qaamlibet rrfiquarum. RAtio Peripheric ad Diametrum eft fccundum Archimedem minorquamtriplafefquifeptimajmaio
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Keywords: ., bookcentury1600, bookdecade1620, bookidarithmetical, bookyear1624
