„ 69 ſupra vniformem a b cde fradiecti ſex yſopleuri/ 4bbheeid. d ½ eelfetfm⸗ mul interiori vniformi hexagono/ funt equi. Qunſtat Emm interiur iforniishen 6i ſexyfoplernis dacgijingulic redelineslab aigtlisadcentnhrozuet 0 lenturigituranguſiagredientis hexagoniipertectasglutKhlaermgecog quieiud ixaciyahhis lex rectis adiectutn Slt egrocientiheagongrcius eſtiuhe t ue mdirtas. Nam totus egrediens beuagonus/dudeiméautsconiſlohein aenialuntaet⸗ luntvtlex ylopleuri. totuſchkexägonus gh 5
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lmeſt vt ocodecim ylopleurt Q li rectas produxeris?a centronad angulorũm capita n gnhennK nlet nmietit Hexagonus egrediens reſolutus in duodecim triangu los:qui et inter ſe et exterorihus triangu lisadiectiserunt eguales. Et eodem modò de ceteristriangulisidicẽdu. R hn Hegtagong autem egredieutet coniunctis eius angulis paripro; N portiðe ac reſplutione comperies/ quod? adiicitur ſpaciũitotius eſſe e 8 dientis heptagoni partem tertiam In gctogonopartẽ duartamitka deinceps. in heptãgonò qᷓuippe adiieiuntur ſeptem triangili: qui ſimul adegt
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F
ptagonum ſunt vr? ad⁊iIn octagono veroꝛadditio fit octotrlangulorumzipin
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14 11 1
50.
ies circunſcripte figure/ ad inſcri ptãm continue lupe
figurarum ſpecies; ticularis proportſ. 6 opleuꝛus circunſcriptus:ad inſcriptum quadruplus ex diu duplus· Pentlrahonus/ad benthagonuintleluater ceterechenh ad inſcriptas:ſunt contimie fuperpartiqulares ꝛquodᷓ facile quer ex reſolütioneß Sit enim egrediuntiim angulorum penthigon? afbgehdrek cunscoptletu per hncas quinq́; fiatqʒ vniformis pentha 2 onusghik. uein con d pri hin hte gono /ſunt equi. Flat deinde circa penthagonum nitormemtgli Raiepen eidem circunlctptus: quiſit Im no p. Hic pẽthagotus etit ad briotern Igrech plus: ad vniformem vetof̃ gh ikſeldualtet. Nam tantumad dit vmformis circũſeriptus/ Iupra inferiptũ vniformẽ ghi R 8 quãtũ idẽf ghik addit fupra egred iẽtẽ. addidit ei vniformis 1.
8 ghK ſupraegre ienré:quin ʒrtianguloskbggchhdtie ſ. K at eidem equales. Circunſctiptus vero vntormi s1. n.m. o.p/ ad inſcriptum vniformem fꝑli kꝛaddit et quinq;ttian
ſ 6. —
gulos prioribus quinq; equales:ſcilicetkltfmggnhloi. St ipk. ex quibus et quifiq; prioribus:confãtur quiuch tliomem biequales kafl. fb gm. gchmhdioetie kp. quibüs cit⸗ cunſcripdus vnfornis łm̃ ino pupctat interiorem egredien tem et qui ſimul adæundem:ſunt vt decem ad duin; totus veto penthagonusl m nop ad egredentẽ: eſtvt 15 aylado. vniformem verof ghi k:vt1; ad Io. In hexagono vero eodemnmdo p perge: probans circunſcriptirin hexaganhmad intiptũ eẽ feſquiteri Nam hexagonus circuuſexiptus tantum addit ſuper inſcriptum:quan⸗ tum inſqriptus addit ad egrecentem Iexagnumſihlinſcritum⸗0 perat autem ĩſcriptus egrediendem ſibi inleriptumilex equis triangulis? qui tatius interioris egredientis funt pars dimidia. Gircunſcriptus Pien 8
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————————— —— 5—* ee ——————
uperarinſeriptumſe alus patibustriangiiis/duitotius inletibtiſint pars tertia. Fit igitur circunicxiptus hexagbiius/ad egredienteim vt².
ad 11 adiſcriptum vnforimem vt⁊ 4 adS uletiptus aũt vntfornis zuſ
2 1. 83 2
*
adegredientem: vt 13 3cht. CIn heptagoho vero ot eeteriß mültaigilat ri pacto procedendum In omn quippe mltangularium figurarum ſpecie: egre eei pra ẽt circunſcripta:arit hmeticam mon geometricam mecetatem leiuant- Quanm
adit iuſeripta laper etzredientem;tautumdem circunletiptaiſiper ptin fn


