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Show 'INDExfi 'I 11101 trianwulk ccmralibus cum 11i- N 1; 11211111'11'1121 [(‘l11'1: , 3; c, quod 59 Q1adrarus 01111115 11:11 r1'alis, ex quibus Quadrati quadrarorum vndc procre anur; quos c1 quadraros fccundos deratus 1111mc1us,cx quibus fcmpcr 11: c1 gufimto mlumnn ngmcmi 1111111111. ‘ L. 106 Q;;11111:.1<1;11rl:hctfi in dun {6911211- dcm loco . quibus componatur . conficiatur . 33 continua comm adioflionc [criatim con ituumur . 71 refulret . 69 @ndratus fccundus cx quo confictur . 35 Chmdratus ficur cfi ad duplum fux ra- £6 fiuomodo ipfi Gnomoncs vocaudi dicis,fic cit collateralis triangulu: ‘fint'. ibid, mgdmtorum a quotcum 11: ab vnira ad {equcntcm radiccm . 119 Quadrupli finguli numerorum impa- 1c ordinatis mdicibus aflurum ad habcndum cumulum, chula. 12.1 nuatorum, fi pollzifmm difiwonan- ngdratorum inzqualium omneau (ur , cx 6011'1 lucccffiua aggl‘cgatio. grcgnmm cxccdir. duplum produ i nc conflrucnrur quadrati '11umcri :1 paribus collateralibus in (C multipli cncis, prudufli . 4; 03511111135 in quantitaxcm quando par1111 dicnrur . s; Chlamnas pofita qux , 8c vndc nomi. natur. ibid. Qantims multiplex ad pofiram ,quo numcro dcnominctur. ibi. anhtius conuncns pal-1cm , vcl pant? appellat Autor . 70 Ex quibus gnomoncs ad monadfi Vradicum in quad mto diffcrcmix 1a ‘dicum. 1 4.1 Eiufdcm demonfiratio. 143 (handratum imparis collateralis cx qui 115 com 11011211111. 61 (hmdratfi alicuius quititatis quod. 8; diratus numcrus, cx quibus conflc111: . 1 nadratus omnis numerarius cum Ia dicc (11:1 coniunflusxonficit f‘cquan rcm part: altcra longinrcm . 5 @adratus omnis partealtcra longior cfi radicc collaterali coniunflus :6flat collareralcm quadmmm . 6 {Eadratus omnis cum radlcc fua, 8c cum mdiccm fcqucmi coniunGUS , conl‘ummat quadratum fequcnté. 6 (Madmms omnis cum impnri frquErc coniuné‘t11s,conftiruit quadratum fc. qucmcm . 7 deratus omnis cum duplo (11x radicis, 5: vnitarc coniuné‘tus , confhtuit quadrarum fcqucnzcm . 7 andrarus omnis cum radicc {ua coniunélus, & indc triplicntus , :1c 1110: cum vniuucpotitus, quam formam conficiac . 11 luadrarus omnis trianguli , cui cubo- rum quadrato xqualls . 1; Idcm part: altcra longior , qucm cxccdat . 1‘ badratus omnis imparis, qucm quadmum cxccdat . :5 DEX derarus numcmrius cclItrali‘sTgx 32, bus vnimnbus fimul acceptis 1'11 co. rium ab vuitatc per ordincm conti. pofitz,qu1bus numcris fignificc- 1111‘ . ibid. (Eamims fignifictaa ad pofitam, (1115 habcat muoncm . ihid. Qmmitas figniflcam ad pofitas quot modis {c habcrc pom: . ibid. Q\1131111ms cum quantitam quando (6. 1111131 dlcamr . & qunndo 1111mm _ hi . ibid. Quantitas, quantitarcm quando mulri plicare dimtur . ibxd. anmitas magnitudinc mtionalis , (ulcvcu111cu'n1131 11111 cx ' )1 r: 1.111113 cm 1115, l‘chccc 111101115 cubs; {€310- num. S; 1111le c111\,(111:)dfircx 1111.1drguo vmufqnc11111111113111. 106 (LIIJIIUESS bimcmln‘is , SC Rcfizluu‘n , non {0111111 inner fc magnimdxne, {cd 61mm Pollinlllll‘ er 1n 11111111111111 (0111111c11fi11'ab1lrs 1-1111: . 161 (laminae omnis pozcntla rational}: d. 111121111 81110111113. cxibctin quuncn- 1c Refiluum . 16+ (liantil'as‘ 01111115 potemh 121101111115 d1111f1111Rcfid1111m, cxibct in quo- tlcmc Binomium . 16‘ Qmmimq omms pmcntialircr ratio. nulis, d1111C1 in Bmomialcm , reddxt in «1110119111: rcfidualcm correlatl‘ unm : 01111111 11:16 in Kclldamlcm , re id" 111 quonemc Binmnialcm cor Incon1mcnfl1mhilcs ":16, qux. mid. (Ll‘uutkazcs duz omncs 11101101110113- lcs ducl‘rue quantnnrilnn (111011110 modo commen[111'ab1l1'b11:, {1111: cu. dem mode 11311161111113 l‘llCS . Er p11) ponionalcs dumbus allquo modoin commcnf‘umb'libm , {11111 Code mo- mnnmrcs , quarum dcnnmmazorcs 111111 xqualcs , fun: 4d mulccm ficu: numcmtores . 89 (mauritarcm quinquc bimgmbrium quaml1bct,al1bi,q1151m in luo zcxml- no 1111111145111, [Ewan 1115111110119 1m pofli'mle ci‘t . 1 55 do incommcnlurabllcs. 13; (Llanlilates duz oznncs , inuicé commenfura'mlcs, fun: ficuz numuus all numelum, 3x11: {1111: inuiccm commcnfurabilcs . 131 (banriratcs dug inuicem incommcnfu rabilts, non fun: ad inuiccm ficu: humerus ad unmarum . 131. @11111uxs , quarum Numeratorcs 111111 rqualcs, 111111 all inu1ccm {1cm} (11311111315 dux omnes , quarum vna Dcnonn'natoxcs 0111111: commuta~1 commcmumbilis cf} al1cui Icniz, [o _ reliqu: uuo nivlfln incommenlura- ilnd.‘ pcr idem crcmcnmm 1015111111 cre.l 111115, 111111 2d unuccm 111c6mcn {11 m. bxlcs. ibxd. fccuzcs. ex d1m1lxo numcu 11113111111; Q‘uaucitatcs duz omncs inuicem can» in congcucm, ex 911an $1 vlnmg 1ncnfumbllcs coniunflz, conficuvnr multiphcaw , producmu‘ 11531632111 111(31‘11111 umnmm . . 11; ciulilcm gcncns quanmaum, 6111111 cunnncnlmabflcm. 147 (gamma: 1111.1: bimcmbrcs ‘eiuflem gcncns in11ic.m commenlumbglcs, per o1dinem (Ex irravonalmm 11.111- Qanrims cubo tamfim ralionalis,qu9 8c quando . 86 Quan 11' 1:15 fecundo quadrato mun": ra- tionalis . 86 Quantiras quzlibct fiin duo fcgmcuta diuidazur , id quod fit cx vuoli. bctaflhmpto fegmentuin quadmi totius , zquum c111 his duobus , {'ci. lice: qua: flunt cx vtmquc {cflionum 1 1 7.8 l11cnmn1c11fi11'al iln VCR‘) , qux .1111. 'hannutc: m (Ecurda 1101:1111: commcufiuabilcs , quz . ibid. I11c0111111c11541a1511c~ verdqunibid. 03211111116 cubu c0111111e11fi11.1l11]cs 1111.2 . ilnd. rclanuavn. ldcnuiuc diccnlum dc 86 Chandra: potcntia mmfim rationa‘ lis , r1112 . 86 lcs,q11r. quanumtc fill‘lplACllCK 12111111311. 16; (hantitam qumcnnquc 911111 Fucrint qua: . (llfl'h'cntia prim): , Si [Olin-mic (c. (11 1111 nulmn, arguahs 1-111 aggrega10 quantitumn pnmi nuliuls. 111'» (11111111316 quotlibcc {"1 Drum" tcrmlnos 111111.:111111‘ Continué Pro 1111110114167, 1111213111 cuicmam 11111! 1191:1111 11111111111111: 111111: prudu. C1011} d1fl:;11*111121 11111113111112111111101'1‘1 d1f'fc1'cmiz1n1,cxl1ibcc aggrcgamm 111111111111 quanummm . 117 Qlaxnuates 1101611113 c0111mc115'urabi‘ Iannmuzs qauzhlxulfi 1n vno ordme‘ "Clint contin 111‘: pmpomonalcs, 81 111 {ecu-.1110 01-8111: q-mnmatcs-vna plum: 111 cadcm ration: 120111111111;i put "11:1 {1' multiplimrzpmdm1111: fingulas bmomi} (gram _1 +9 p10 purnonalt ua , v: caru1n filll‘ct‘ 161111 r (1111 quantitatibus p11m1 0141 ,(Laanntarcs dux KCllLlllulx‘ 61111111111 111) ungulx 1111311115 zqualcs . :unc ll] gcneli; , 1111mm) commculunbulcs PCX :rwm..5‘, ,4: |