Geometri^ P^fs,., 1 1, Cap. 1 1 L 36 7 



e» figa- 

 um miil" 

 l.ieiaium 



il.uUrium 

 itogno- 



!ur > 



^/A ./^^*^^ f.gHrarum mttltilatfrarnr/t re^L-larinm 

 ftii* ordinMiirwH [ (pit,.f:iltcet.fun & <t(juila(fy£tT 

 t<]!nan^:<li) menfuyari pojfnnt vi fgtir* ■.rregtiia^ct, 

 refoi.fer.dofiiUcet ea< tn triangnLt. Sotet tamen tr.idi 

 cnmpendiofa tegula de illarHta foluticne. [ , 



Ea fic fiabet : Semilfis ambitut fifnn mu!ti<tlicetur iri ptr- 

 ftndirularem e centro figurt ad vnum Ixtit* ci^Aentem:. KH' 

 mirut enim preducini area erit f.^iird. W\\ fic cftciunt luiic 

 regulam : Vsmiiiium ptripherii in rettf.m , aun aUcnrru fignrt 

 in mcdium punBum 'jnnts Uteru pfotrahistir, multipUcetnr.fu- 

 Bus enim dxhit arenm. Cernruqi porin cijiufur» fii^ura: rt;;u- 

 latis lioc modo inucnitQi. Si data figura conlttt pari latc- 

 fum numcro.recta ducla at> angulo ^mouis in o[»po(uum an- 

 gulum & tiifcifla , exhibctceotrum fijura; : vt in hcxa_i;ono 

 ABD. diamctetA B bifariam fcita d«t,ccntrum hexagoni 

 C.:x cjuo lefta C D, vtpote ig mcdtuni latus incidens,,men- 

 furctuc , ficque lo. ped. Latus quoduis ciufdcni li&xagoni ha- 

 beatped. ii. Dimidiiis ambitus continebir ;rp?d.(]ui niul- 

 tiplicati in rc(3a.T3 C D i o ped. dabunt aieam 5 'O, 



, "■) 



Si vero figuta tegularis impari laterum niimcro fit cir- 

 cumfcripta, bina; erunt rcftas a mediis duoruni v(uotumli- 

 bet latetum punftis in angulos iifdcm latcribus oppofitos 

 educcndx , quae fc mutuo fecabunt in centro figura: : vt in 

 pcntagono B C D E. linex E B &; D C fecant l"e mutuo in 

 O centro. Quare D O yel E O meHfurato : qux fit i^.pcd. 

 latus quodlibet fit 17. ped. erit dimidius ambirus 41 pcd. 

 qui duftus in tc(5fcun D O 14. peJ- cxhibet aicam pcuta^o- 

 ni588. ° 



Perpendicularis porto e centio figura; in vnum latus ca- 

 dens, vna cum femidiamctro circuli Sgurara ainbientis,fic rc- 

 peiietur. Numcrus latetum, fiuc angulorum, duplicetur, & a 

 duplo auferantur quatuor. Nam reliquos numcrus indicabit, 

 quot reftis angulis oranes anguli hgurar xquiualcant. Hic 

 idem numctus reliquusfqui fcil. eft angulotum re(ftorum)di- 

 uidatur pci- numerum anguloium , vt Quotiens vnius anguli 



fia;ur.Tmagmtudinemexhibcat.quiin hcxa-ono continct re- 



ftum cum pattc tertlu, hoc clt, gra>t,-.c.. iiu.jiiadmodum i.) 



hepta-ono vnus angului comi:-lc.'titur i is-udu« , Tta vt in 



hcptagono omncs ■> i:i|iui.i.;.a:quiua!cant yexsfXxi. Et quo- 



niaml"caiidianu:cr fi.aranMlum h!;'jtarbTfaTisin,firvt 1; fc- 



mir&s latifrlsin qudd cadit ^rik-ndiculans ponatut fmu to- 



tus.pcipcndiculails fit tang(.p.< rem'i(Ti-.;anguli %i.ra:,ac icmi- 



diamctcr fccans.ii tiat;erg6j t'* latui i-^c--.fQffinul ioti^Md 



femijfeni Ituertt : ita titngtns fn.ijfs tmg:ih^fl-fcnms,^'d alu.d; 



piodibtjtam pcrpehdiiculariJ quaA lcmidiafiiftei inpavtiUn 



lateris hguia-. V_gil in bcxjgsno rc-jjular^, cu'us vni;m la- 



tus cll 11. pcd. f^ fi^t vt ^oooqo finuy totus ad 6 f((niiil"cm 



laierisiita 1752x15 tangciisicni[?lli"_am^uliJiexagoni.^d aliud 



rcperietur pcipthdicularis aof„i^. It^im fr Sac , vd locoo" 



finus totusad 6 lcjjiiflci» la.tctis ;-ita" ioc(joo. fecanj fcmif- 



fisanguli hcxa!^oni ad alluj, cxibit fcmidiameter fi^ira: it. 



Itaquc (1 perpendN!ul6u» icril^j^f dCcatHi- *n ^6 amiflcm 



ambitus hcx.igonj ex Cfibus.latcnbus conflatam , pr(iducetuc 



arcahcxagoni >74Tfis;-Q.aooi.iai vci6 (yrcaquamlibci fi- 



guiam legulatcmcirailus dcloibi^fiotcil .■Jik f ro^ncmus 



plurimaruin hgotaifum^ rcguJanum lat<;iaVB paitibui diamc- 



tri cucuh ,ambic,ntjs ipcooocp , j,cl l^niidianictri fiLc finfls 



totius icooocco. Jta cnim_ cognita rc.-.iidiamctvo ralicuius 



citc-.ili in partibus cuiufcun^uc mcnfuta , tcptiicnnis in iif- 



dcm partibus latus figura: tcgulatis , cuius.lafcrum "iumcrus 



niaiornoncrt quapn 80. bcncg.ciQ fcquentii t^ibulK.+fi nlmi- 



tura fiat, vt finif:," totus iooooooo ad latu's'fifrura; pjopofita: 



in fequenti tabiila f ita fcmMiamctcr circiili ptopoCti data ad 



aliud. Sitv.gr. fcmidiamcter aHcciius cifcuU ^. & imicnicn- 



dumfit latusdcca^oni rcfpcau ^\€tx fcnildfamcttii liat vt 



10,300000 finus totus ad ^iSoj jy latus-dciagonii: fic 11 



'«mjdiamcter (fata- dd aliiid-: cxibitquc ktus Tiiiiafitum 



^r^o^o- ^'^ciirini-cx^dato^latete cuiufttber ■fl^iinc Scculari» 



cognofcemiis tcmi^iarnctruin circulicircunifciribcntij ^''ti fiat. 



vt latus dats fi^ura: }n taball ("cq. ad loocoS^oo. ita latus 



datum ad aliml5 Vt ;fi latus pcatagoini dctijt 11. & fiat vt 



"755705 ad loocioooc. ita ii.ad-aHutl trcperrnnrfemidia- 



mctcr circuli cirrumfcFipti ^o^''^^^'',:' S\ vefc uioldftum fit 



operati cum ftaiaionetam njagna-, rcd^ce$?cto ad liinorcm 



a;quiualcntem. ' i ,^ , ; - < \ ^ i 



TABVLA GONTINEN-S LATB^RA FIGV. 



larum rcgulariuma triangulo tlque a^iij^ram SoJa- 

 terum, pofiia diametro.iooooop<!i , vcl 

 finu toto looooooQ. 



-I 



Num. lat 

 vel ang. 



3 

 4 

 5 



7 



10 

 1 1 



Latera figurarum 



10000000 

 8 677 67 4 

 7655668 



6840401 

 61 803 39 

 5634651 



Num lat, 

 vel anff 



Latera figuraium 

 t tegulaiiura. 



12 



_M-_ 



"*5 



16 



20 



5 176380 

 478631} 



. 445 04_^8^ 



T'4J5T235 

 £90^806 



-^■547i5>^5 

 3 25?i8yi 



r'j 128685 



■m.no^unt 



I^'l> 



.'i'.'CSn,r 



■f , 



'Mam» 



.TTrjnOJ)/.-! jf,."! 



