Geometriai ParsII Cap.IV. 369 



X >fsj ""•""•••••••••.....D 



X. An tmnit ager , quifrrmam ex/»{ii quadrangultm nm 



habet, debeat reduct i» triafigula ptana reHangula t Sipe qua- 



dungula 6c triangula rcftangula in Tnam figvitain coniun- 



guncuc : & in hoc cafu non opus eft.vt totus agcr m triangu.. 



la refoluatur. Nam expcditior eft opcratio pcr quadrangu- 



Ja.Scd & hoc notandum , farpc quadrangula Si triangula te- 



ftanguli in vnara figuram ita coniungi , vt inde fiat trapc- 



zium, vcl fimpict , qualc cft ABCD, vel duplex , qualia 



funt FGHI & MNOP. In quibus cafibus omnibus , fi 



longuudinemmedumpctlatitudintm multipliccs, haticbis 

 #rcani. o.gr. 



raftS reduaione ad duo triangul, reaan^ula A B F & FBC 

 hZTc f "' ^'"'^"^ «ream^rianguii r^eaanguli A B f S 



^rTJrtr ■"^'" « f & f C inuicem multiphWo : fcd 



fafto ftatim h^.h 1" ""^ ^ ^ ' »/' » C . multiplices*. Nam e™ 

 cu us dS^ ? '^" ""™ q«d«nguli rertanguli A G D C: 



jn.qua.vel ex hoc txcmplo 4ifces, *^ ' ^^ * 



Ar 



V F 



G W 



fc 



M 



KK 



y:^ 



AP 



/.» ^rimi figura 

 Lotigitudo minima A B fic 

 maxima D C — — 



R B 



— — 10 ped. 

 — ~—l6 pcd. 



LQngitodo mcdia AS 

 Latitudo A D vcl S T ■ 



Summa iS ped. 



I3pcd. 



4pcd. 



Arca igitur A D S T , vcl A B C D erit ji pcd. 

 In feeund.% flgura 



Longicudo minima FG fit — — u ped. 



nuxima I H -i — to ped. 



longitudo nsedJa V W 

 Latitudo F K vel G L 



Summa — ji pcd. 



— 16 pcd. 



4 ped. 



Arca igitur I F W A . vel V X W Z — 64 ped. 

 In tertiafigurd 



Longitudo maxima P O fit , j pcd. 



miuimaMN -. ,, p^j^ 



Summa — 1 g pcd. 



-14 ped. 



4 pcd. 



Longitudo mcdia X Y- 

 LatitudoQ.P vcl NR- 



Area i^itur M P Y O. vcl X A N R crit ? < ped. 

 »• .'; ^"."''^r '"*/'«"'''''"»'■'» dimcnfione tnanguli obliquangu. 

 j.-? fafta redudl.one trianguli obliquanguliin dao reftan^u- 

 la non opus eft vt vnomque triangulum reaangulum fcor- 

 Iim computetur.fed fatis cft.fi fola bafis trianguli obliquangu- 

 Hpcrperpendtculum multiplicetur. Ifta cnim vnica mulripli- 

 «tocxh.bet vtrmfque crianguli rcftangul, , i.c. toriusobli- 

 ABC '""""■ '■^'' ^*' """S^lum obliquangulmn 



Sint duo agti AB CD , & E I F G, illc quadratus . hic trUn- 

 gular.s. vu>que habentes in citcuitu decempcda^ U Dico 

 arcam agr. E f G. multo elTc mtnorem . quL fit L^a agri 

 B l J^f n r . *"" ?"*"" '8" ABCD.fi latcra A B & 



lum FH 1." '^u r'""/- "^' "*^ »?'' f.FG.fi pcrpcndicu- 

 lum h H ducas in bafir. alterutratn E H. ycl H G ;. nonnifi 

 duodeam decempcdarum eire deprehcn<letpr. Magna >gitut 

 in.una afficetur . fi quis codcm pretio agrum EFG ouo 



of aTro ' "" ''''^""'^ ^" -"duxLit.quafuorcnim dcUr 

 ped.s tot.s .n ag.o tam paruo defraudabltur. Quanfa ieitur 

 frausfuturaelT^tin agromagno» ^ * ?S'tut 



A-n 



Potro fingula ifta triangul» refolunntur in K^anBula per 

 perpcndiculum ab A ad B,ab E ad V,& ab I ad O. 



«. ^» ett»m tabuUfinuum habeant ■vfum mhJc ttditec 

 dijia > Omn.no. Si eniqj in praccedcnti fchcinatc fiat. 



Vt A Ylatus,ped.7, . . ' 



ad A B Iatus,ped-j, 



Ita A Y tadius rooooooo 



ad AF finum aogvli YA3 48 g^ad., 50, min. qui pft 

 7517980. . " .':■ ■ *» " » 



VIII. DimenJ^o circuH f>endtt a h^ijpmo' & /uhi' , 

 ItffiT/io libello Archimedu de circHlo^ .^ 



^ Hiclibellusconftattribusduntaxat propofitionibus.qn» 

 ita habcn 1. 1 . .Area cuiujlibet circuli iqnalis efi triangulo rcaan- ^ 

 gulo , cutus vniim auidcm latw circa angtdum reau^fetmditt-^ 

 rnetro circuli, akerum -vcro peripherie eiufdtm circultefi tquate 

 S.t crgocirculus A B C D. cuius cimrum E, fcmidiametcr . 

 EA:fi^[quetnangulumrcaangulum fQ H.cuias latus F6 

 fem.d.amctro circuli fic xquale , latus G H pciiplicri* eiuf- 

 dcmcircuii.Dicocitculum AB C D .trianguio l QU jtqM. 



"1 



CeodxfU 

 cilt.tili. 



lcm efle, 



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•m. 



:i b* <: iV: v,if 



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