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Show . ....... De Ech~: ·;~~eElen.'!_l$fh4ricum/coiUJexum intptum en echo _tjftcien'J~~ , . Theortm4 ·x V .I. R ·At~o _cR, quia taJis figura lineas nullas, .pr:rter vnam 'no.rma1em~~ . · fled,It ad So~oru?'l, f~d val de eas. ali_orfum . deto~~uet. ,:.idque pro .• . pterea quod ~ngulHncJd~ntJz, & rdlexJonts ~f?por.trat ~·clfe.leornparc:s .. v.c .. li dar.o fph~nc~ conu~xo CB D, So nor urn}! )·in iUud ·i nfonet ; vna ran tum , I B nor~mahs erlC.; r~hqu~-~er~ omncs,:.suaJts font 1 c,· I D, aJiorfum val· lie~dl~deotur per h_ncas C E, J? F. tquanto. autem.Rd led:eos hoc fucric .' maJons fphzr~ p~rtto;ta~to..mmoremllabcbit curutcatrm, lru magis~a llaturam plana Rdletlentts accedct, ~ 'luate · minus tineas reflex•s djfper• : i~t. ficque potcruot. nonnuJ~ perpendtcu lari propiotts, fimul cum ip.~ · :ahquantuJa~ Echnm refonare. ·arquc hfc dl ratio.cur.,otunda proouv~ l cula , & fimtba .mura.ni.Echwn..tfficiaot. · · · · ~ _ ... a .J \ Co11eau~m reEfip/~num, ~."'t;•ti tfl angulu.(:toncauu.r !duorum ._ parutum clarzorem:.Echum ~efonat• ..T heor •." X V.J J,. ·;H· 0~ me varie e~pericntem 'docuit·exper.ientia in:ap_guJo 'duorum·pa~ ·ft ~·~cum redo' ~ontra ~qua~ pr.ius opiriabar. •eram au rem ab co d~i· l ans nummum l... pa!fus geom .. tr· ,.r.. , & . .d r. • ., ~ · fi · 1 ·'T! . · "' J .. v-&., 'Jtr-2•'C3X•.a uer•o lp6us, · vt line~ 11~ 1P urn a?gu unu?cadens faccrec.·angulos~'femir.:Cttos· curnwnro . ue. a~ iJete,1cCuB.:ltutdercc •pfum anguJu b1faria. vc in appof.ita figura; fir ingJtttS ' ~auus D · fonoru · ·A ,. · ·d · .~ i C .A .8 ' ~ m. ' m.c:a JOCJ ens 4 B; ~aciat a~gulos femiu.ae, · ' D,.quarc.~n-~~a~u~·~-1• palfuuan1 a1Ja:Jinc~ Jnc·.idcnte.s ¥&Jpli f.i )pr~pto~ ~. • .~De' Ech~. \ 4 J 1 , propiores fadunt puiter anguJos ad felffu.m"femirt.'t.'l:os, ~~ utla ltftm.paJ! M Jo minores, qual e) cfitnt A C [, ·A D K. quue rrfl cdeotur. et;am ,;•per- ~p gulos Iemire ttos, ar}1ue in parietes viciffi. m~p· ofi cos, id t'fi linea A C t:.e· fk ctctur per li neam .(:-Difa~i.etqu e aogulum rd1exioqis.B C.D .fer( fc)l)irc: ttum •· pariter li 11 c~ io~i~entis .A D. n fh:xa ericD·.c, ad at)guJu.~Je.ruii .. na:um B D C. poftea vtraqu~;.itc_rum ex to~is C,:D, rc:fle8;ettJr .. ved t.ls:Sp. no urn per lineas C A, D A 1 fe~upd~m argulo~ par iter fcmi{cdQs.; .. qf!.~ . ratione eand~m voce~ rt~ ferent ad~ono,r.um -A. P<>r.ro. eJ adfatiS'. hU~4S a.n .. :gular is Echus maions, quam plani r.f~fledcncj s , ~ e<trl am ~~pucoplur.iuJ" refl~xarum Hnearum vnioncm feu concur(u.m.ad.idemlSQnQr.tJ.m A ; v~ton .. fidcraoci & compatanti figuram hanc· cum fuperior'Jb.us~guds :plaQorUJJl .. i refl ·ltentium , faciJ~ pate bit j ~~plano c:Rifll paud'fihm~:iiO.~~ re4ertun.tur :ad eundem Jocum ~A',vt proptc:tea admittendz fint ~U~. ·PJ~pj~r~s I)Or.ma.Jj, qwr ' nc:qu~ cum ipf~·• ncque inuicem concurrunt ad .A • .f:x;~u):htiS c;~i~m 1 manifdta ett caufa cur.:clanifimz: Echus ex. aducr6s fluminum .dp;sx,donent, quia vidc)itct r~f~oant.cx .a~lguHs aquz ac ripz ad fooorum , v~ plu· . rimum t.r~gione anguli~.le!!atuni.1cd 'ide .quz f~pra ~bide ioter.ual ~~~a-. :1 ter Sonorum & t~fl r d:eps,~n.P<>taujmus. ' Sc:d hie dubitatur,-cut.il)f;~o.nc.udu Jintarum r~Rexarum CD ,-&:·p -(;, .. eum no mali A B, non Jia~Bowbq.s; v~nim refpondc:tur * ficuti. diuc:r(a Ju- •.r .mi'la impe .m'xta eundcrn aer~,m·illqminam:; & {jcuti in ead~m aqua.c.~ntrarij & concurrcntcs circuH, .. &.~a~n.·;i~permjxt~ tenduot iq partes con· · · t.rari as, idem actidcre etiam fono. ,qu.od etiam .r.e.~perj~ntia ab ipfa E~.hQ dtfumpca.tonfi rmatur; narn ftSonor.um 6t:l~~ge,. 3.->pariete, ,Audier)s ~.u ... rem al ter:'pr..f:lpe parietcm, .audiet v~ramque. ~ voc~m ·(imul diltil)cte, pri: ll11.tt11 fcilicet , . & refloc:tm •. oportet aute.m iQ-eo.cafut pr).mariam voce·rn . l()b ditt;u1tJam fonori fa tis magnam ab.,audiente,-t-ffe adeo r~m.ifiam , J!C • t teauern, vc rc:flt.x~r;n.mioime~ffuf~ar.~,aut·.?PPr~mcre.yal~a.t. · , ttConuexum. reEIJplanum, ~'7/ti lfl:-a~gU/us; conutJ{Us :'dpmort~IJI. . ineptiftimum .ert.ad_f( hU:m. v T hcorem'a .·x V Ill. . . ·;R . Atio efl eadem ,rquz in~Sphzrico conu.e:xQ.·Yt:itt .. ~ad~m .pr~ce!dttl~i :J' . ~g11r .fit oonuc_x~s ~ pg~l.ps 0 ll .D~Son.orum .fit in:H. vn.ica erit per .. . pcndJctJ ~ar- rs H B.; rehqua;,· om n~·~.q~"lesJuntH C ·f!H,P .• ~m a.g~pere' iJ!,J ' pan_cs ~JuerJ as,.&: al.cera~, ob CEqtJaJ._ltar~~. a:~g~lorum inc_idcn~jz , .. & re· 1 flex1onJs dJfpe guocur .. ~quarem~.que-pr,Qp:Jores ,lpfi no.rmalJ "·.eam ,i\]uar~ . ! poterunt ad Erhum refooandam.:fi. Ji~~~P~ dc:,Ech~MOJ:l?.p:hoga , rQ.Ii; . ~.jo ~·.u~m eft nue~c d~ p~lypboQa fserc! , · 1D~ I • |