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Show •• .~-2 .. ~ . . . , • >tJe ~cho. .. . . . . . . .N~atura·, (ni'ff quid CSbRet, ) agat per h~ea~ ~reuJtlimas, breuilnll!z abt~ .:r~nt ia caf1.1 oQJlro ·, qua:Jaciunt przdu~tos an~ulos eompares , 1dcft, ~x ·omnibu·s hneis, quz polfun~du~i ab A, p_er par!ctem D :S C,ad,~, b~e~tC· ;fi ,.., omn-ium.illz func, qui fac1unt pra:dtdos angulos zqualc:s. quoH de~ :O~itracum habes a Vitellionc Jib.x.. nnm. ~-7• Tand~m, hanc anguloru!IJ ~ . .:tqu1 ticacem agnouit ctiam ~rdloteles • qut ~· de An~. tex. 8~ •. apppo.6t~ docec, luoc reftexionem fien eo modo quo_Ptla !~forra rcfJc~ttur, ~~e .. .. nim ·r.orm.lJitcr parieti, aut pauimento alhfa, et!am nor~ahter refiht. 6 "'"'0 oblique, ca quoque o~ ~ ique,necnon com pan angulo,_m ·au~r.fatn p~t'· t:em· refulcac. imo expreffe m Probl. Selt.lz.num.) 3 .affent hanc re.flcxt0~ .ne~ tiieti~her a1wulos zquales. · . · · l" Ul w . I ·£ cJ1J re_[onat ex corpon'bus planis, rfJ foijdis, iheor. II. I V•B:ritas huius propofitionis· multi's obferuationibus no?is con~itit: ex.pcn:i enim ftirnusom~cs m~ros ~omo~um, & o_mma ma:nta _vt· bju.r.n ,Ci fatJ5 fint complanata, m deb1ta dtflant!a, ac debJ_to Gtu Sonor1 ad ipfa, no~ra ver b1 repe_c~r~ _: c.ti~m~ i~t~s o,m~xn<? fine fotLda,fin_e vp_~_.con· cJaliH fine v Jlis ferretlrrS',vtt' funtmzma mtus congefb· humo fltp4ta.Jdcm p~z fr;nr rupes montium ~ ~.ripa: (lu.minull_l, _q~a~!.L:i~ in ~is nihil cauerno· fum, aut anfraduolbm !it, quo'd refonantJ:\m· 1~U:ue v1deatur. quap~~ peer huiufmodi corpus vocem refleetes, dl quah planum. fpecu~um vo~!S~ vnae & vox ip{a ref!c:xa apte didtur·a Poe cis imago VOClS. rupcs 'fero J 1~ cliui h~rboli, vel arui, alioquin pJani, neu~iquam rc_fonant, c~m non_fatts 7(omp!3nati funt~ porro complanatio hzc.ref!ectentJS corpons effic1~ vc plurcs :inez ad fen fum fere norm ales reflectancur. contranum au~e~ !o~. quali tlS ,& afperit.as, ( qualis eU in rnuriS C~mcncitijs null_o tectono JllJtJ~ ~fficiunt; quoniam inter Iapides,& czr.Jenta {unt concautcate~, & promt· nencix, qu:- !iB:as vocales incidences tumultuarie hue illuc dtfpergunt,& ::eonft~ndun:,qua.re auc nullam,_aut impcrfc:etam valde Echu?J redder~ pof., funt. ~ omnia,etiamfi nlllla cxperientia fulcirentur, ra~IO tam en 1p~L ::ednuinccn:r. qua enim de caufa pila in parietrm allif.1 rc:ftlic, ~lumen~~ fpeculum ioddet.s, rt'fkcbtur , eacc:m etiam ratione VOX p}aOJS COfP,{)fl~ ,bus occurrens,ex ijs reful rare,& repelli neceff~ dr. . . . · . Czter'um cum dicimus Refleetens die corpus folidu.m, id ita acctpte.n· dnm dl, v.t fG ium tJnrx fit folidicatis) feu duritiei, \'t acri Qb fomum com· .Uoco, ni~il ced1r, fed ei ·ita otHifht, vt eam rcfle8at. qua racione ·aqua_.., quanuis fluid a, aai ramen coparaca,folida,& dura cenferi d~bet id quod vqerientia -in :tgua puc~orum manifc:fte probat,nam fuperfi~teS aqt:IJ:pU· teana: tant:e profundiratts, quanta debet dfe diflantia Sonon a Refle~cn· te, (de qua poflca dicemus) Echurn perf~C:t.e furrum refi~Ci~t. quod.tpfc in puteis Jo .•. vlni~,feu l4·liafiib'us gcotrierr!Cis circite·r altJs,cxpercus ~u, , .. qru ( -. ~ lJe-~8.clo. A.:t ~11i-ade.o lQ:quaces & ga.rruli ~rant, vc ctiam fubmiif~ voci perbcll.e re; I (pondetent Ybi 'illud obferuaui,quod ctiarnfi fa tis pro fundi fint put&ei,n~· r~me.Jl ni6 fub:}:!io lint, Echum refooanc. racio,n~ fall or , eft~ quia quando. tLJnt fub~e8o;~aut coricamerationc, fiu)lt fimul duz rcflexiones inun:e~ contrar,jz,vox.enim primo.refJectitur ex ceao,vel fornicc d:corfum, fecft~ ~ do ex 3{JUa furfum; ilia defcendens occurrit huic alreri af£t!D_deo~i,_ ~i'tu~ ' ()bui~ns :impediment4d~, ne clara ac difti~a:a ~~_fledi.poffit. cun:t ~ute~ ' {~b d1o puteus~fl, fit vmca tan cum ref!CXIO fur fum, abfque vllo 1mped1.~ tncoto,fic.queclariffirne tclQn~nr.. ' · .... .. ... . " .... ...... :: . . -.;.. . ; ~ "" • • . _, .... 1 • • · . echo tefoi;at ex flanis, quibuJ fonu.r per line am normlfum occurrit. T heorcma 1 I I. ~ ,. • .. • . 'i ID~~ pr-itno dotet obferuatio, vtinp,r~~edentiprima figura, 6 Sonorulllr in A·~ fie in eo ·fitu ~d-pariecem C Ji D, vt .vox per lineam A 6, do lata,.· normal(ter offenf(t ad par~etemjn B.; eaclem .v.. .o x.articulara-repercuti(ur·. ad idem A. fi vcro fit in tali fitu, vnde vox oblique tan tum i1~ murum .inci .. ~~t, vox non rc.uert.itu_r ad ide_m A._guod pr.zterea..ratioJua_d~t~ct~rr. ~nirp~ Jfrobatum fit n:flexwnem hanc fien per angulos zqualcs an·gu!ts tncJdentiz; anguli au cern inc;identia:.t1nt reCti, fequitu.r angu·los ctiam n.flexionis. c:ffe reCtos; at propterea voam a muro rtflecti per eandem lineam' per quam muro incidit, hacquc llatione ad ipfum A, Sonorun1reuerti. Porro quanuis ex innu-mcris line is , qu:i ex~ A, .. :tdparkcem' tendunc, v·na tant:rini G~ometr.ice , Joquendo normal is fit ,-vti A B. c:zterre. tameri·ei propiores. fecundum feofum,pro norrnatibus atfumi debet, vt omnts l1nrul ad Echum efficiendam !uffi.ciant ;· OIFlnes etcnim iimul acrcm circa Sonorum A, cxi· ; ftentem ccmrtwuent. Ea preptcr cxillimo paruam dfe rnuri.partcm , qu~ . rcapfe rcflectit ad fonorum A. quod etiam cbfcruadoni tongru.it; f.rpjus. ooim obferuaui.exiguosparictes> vti tripedales,auc mod:icas rupes,hurtla· · nes·voees per h1llc em·entiri.QEod fi Echo ex;1.udi.renll- ~·~tum per lineas. · ri!flc:xas a·reflectc:nt:e ad aures Soonri.ipfum r.eftedcs exigutt·m admodum cuadere.t,. eius fcilicec latitudinis,qu~ a:qualis,cffet dimidio' incen1aUo au• ( rium~iencis. quod tJc o~.end~ fit infeq. figura~ liR~a· B C,.i~cru~lJufP·• aurium,mt·dium eius A, rt f e&.ens (it DE: equalc ipfi A B.,vd A C.medif1: eius 11t f. i1cque li.nea A F, ipfi f10rmalis. iam il~~elligatur linea vcca!i.s incidens & reliexa Gmul A 0 B; ad·au·rem B .. pariter ad aun::m C', fit lint a_. voca_Iis incidens & rc:flexa A E C, erunt enim ar~guli ad D,& E, iricidenti~· &r.c:tex'ionis icjual~s, qttare totu~ re.flc:ctens D F J:, non amplius p~rchit: .• quamD E. q\Wd ex fuppofirione requale eft ip ll A B, dimidio aurhrm in.· ·_ ter~ic~. \t~eU.u~ quia ha!cyocis refle:xa propaga.tio ·~idetur ind~gf1 e ~~~ ~1~.m'.1·lOC1 aerts commonone,cuius cerra quannras JgnotatLtr, tdeo.d·l!i '~e quuque- exit rd~tCtc.o tis p~1 uit~~ttn . ~~~~nuna!~· . · ~ . r ~ · · ···' " ·. 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