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Show WWW kiwi»: 1v." x - v PROPOSITIONES. 14.2 EVC Ll DIS ELEMENTORVM LIBER QYINDECIMVS, SOLIDORVM (Emma, Sc Corporum regularium tertius , - 143 IN icofnhedro pjxramidcm figumre. Icofahedro cubum ex przc- I a ccdenti , cuboéuc pyramidcm cx prima ad commoda. Ipfa cnim 6: in icofahcdro fiatudur. S C h' 0 L I V M. Nomndum, (11133 1137 mutum corporum rc'gulnrium inrcripriones 8v z‘ma'iliom [Mauro/id CHEM &c(1L- pufiént viginti. Scd pyrrmxfi {Hum 0&nlwdmm c6ucnic infcribi. Cubo autcm Pyramidcm it oékahcdnvn {clummcfio . 06h- N DATO cubo pyramidcm dcfcribcrc. Protrahc (CK bafium cubi dLamcrros ad quamor ex cubi an- gulis concurtcntc-s . Tales enim diametri etunt Iéx latcm intus locntze pyramidis. I N pyramid:- oéhhedrum confirucrc . Diuidc , ‘ I fingula pyramidis lamm pct mqualin,& diuifionum punéh per 11. l‘ecfias coniungc . Nam talcs coniunfut contincbunt latcra int-cripti oéhhcdri . 3 I N cubo oé‘tahedrum includercConiungc {Ex bafium cubi contra. per duodccim rcé‘mszqux quidé inclufivn (:ghhqdfll)‘: Configurabfit. hedro folum pyramidem (Sc cuLum. Icof'shcdw‘ 9111'ch rrin,Pyr;1midé, cubum & dodccahcdi‘um . Dcm'quc dodccalxcciro cmtcra quamor fingula coapmri pcflhnt. Vndc non iniuria {olidum hcccmlo cunéta. comprehendenti affimilaucrc . (luandoquidLm pyramidcm, proprcr formmmigni3Cubmn proptcr I‘tabilimtcm tsrrx;lcc-1§1h;n‘r11n7 pl'optcr mobiliratcm, Aquav; Oéhhcd rulmproptcr {Enos carciimlium 106013: angulos, Aéri BC huic magno clcmcnrorum inani vendicnflncnt. tinua Per duodccimam rcé‘tasquippc qua: & Intern in Juli (1151' crunt. j I N oé‘tahcdro pyramidcm collocare. 061.1hcdro cu bum per preamiffam : & cubo pyramidcm include Per Primam. Eadcm cnim ab oékahcdro circumflhribetur. 6 I N icofahcdro dodccahcdrum ccapmrc. Coni'unge zo.rtiangulorum Cubi centre. per 5 o". li‘neas . qua: quidcm dodcmhcdrum it; fonnabunrwr cius anguli dié‘tis ccntris finguli fingulis incidlnt. IN quolibet diélorum folidorum fink-mam infai'bere. A centro 15" {thrx folidum Circumfcribcnris duc ad vmm bafium fblidi lineam Perpendicularcm Her I 1"" vndccimi : ad cuius fpacinm fuper centro iémicirculum, 8C {cmicirculo circumduélo fupcr diametrum, (phreri dcfhribc.q11ippc qua: (propter :equalimtam pcrpendicularium) range: fingulas {olidi bafes, Cui infcribitur : rxngct, inquam, in yunflris illis, qua: pcrpvndicularium Cafus filfcipiunt. Vnde manifcf‘cum eff, quéd {phxm‘ inferiptm intra oéIahedrtIm & cu bumfia fphrcris xqualibus comprchcnfos {unt xquales. Idemc'lue dc icofhhcdro 8c dodccuhcdro diccndumCum per 9"". 8c 3 2"". prqmifl}, Pm‘pcndicularcs £1 Centris {phmrarum ad bat-65‘ mhgm Corporum fin: aqualcsqux pcrpcnadiculnrcs [unnper przemxflamdphmrarum corpo- 7 xibus infcriptarum lemidiamctri . 4 I N oéhhcdro cubum fabricnre . 0&0 triangu'crum Crnrra con- I N dodccuhcdro icoiizhcdmm cIHngcrs. Duodccim psnmqonom ccntm collig: produfih's 5:).chordis.5icenim mguli claufi icofahcdri tangent Ccntm bafium dnudcntis dodccahmh‘i- , 8 I N dodemhedro Cubum flatucrcin fingulis pcnmgonis, fingulas rcékas , qu'sc Pen tagoni fubrcndunr, angu'los, protrahc . Sic 12.. ream conflabunr {73x qmdmm cubum confirucnria inclufum . IN dodscahedro ofhhcdrum componcrc ., Sex dodecahcdri larcra , (1113mm bins: funtpcr diamerrum oppofita 86 zquidii‘mnna CI azquzdia diuidc. & punéh diuifionum conncétc Per duodccim incas, qua: inclufum oé‘m'riedium {brmabun t. 10 I N dodccahcdro pyramiicm accommodate . qucribr: dodccahc- .9 dro cubum per 8; . Et cubo pyramidcm include Per primam ., Nam u pyramis claudctur ctiam fi dodcc;1hcdro. I N icoflzhcdro cubum conderc . Icofahedro dodccahcdrfi pct 6‘Et dodecahcdro cub (1.2 8‘.iugerc.c1ui 8c ab icofahcdro cucfifcnbcmr. 1I F1 N 1s. Sequitur calculus laterum 8c pcrpendicularium figurarum planarum 8c folidarum. Latem figurarum equilaterammcirculo irfcripmrummdu: diameter fupponiturpedum 1 z.fecundtlm terminos numerarzos. r. 108 Trianguli demti r. 7 2. Hexagoni Dccagoni ' 6 1; 4;. m.; Pcntagoni rv- 90. r_n. r. 1620 Oflogoni Dodécagoni rv . 7;. m. ‘. 2592 r 54. Lit-.18 Linea: pcdum 6. fecundfim cxtrcmam 6cmcdnam ranoncm dlulfx ‘ CF: . I 4.5 .rfi. 3 . , - no ' P01 malor .r.45 Minor verb p orrio.9.fi1 Latem I .- ‘n W; -‘ 5‘ ace" PROPOSITIONES. |
