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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 5, page id 845634801:0021
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# Lines: 52 recognised, mean confidence 0.91
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A C OG E
lR AE C F P F V M I
Maenicudinem maenitudini addere.
Suneo dux magnitudines A dE B. Oporret alteram alceri addere.
Suotam isicur magiculdo magnicudini addenda cst, homogenex aurem heteroze
neasnon adfciune, sune quae proxonuntur addendae dux magnicudines homogenca
Plis aurem rel minus non constimune genera diver (a. Ouare nota copulae seu adjunctio-
nis commode addentur; et adgresarae erune A plus B. Siquidem sintsimplices longi-
rudines laticudinetre
Sed Sadscendant per exposiram scalam, rel adscendentibus genere communicent,
lua qua congruit delignabuntur denominatione reluci dicetur A Ouadratum plus B
plano, vel A cubusplus B Colido, de similiter in reliquis.
Solent aurem AnalyAx Gymbolo.  adfectionem adjunctionis indicare.
PR A CE P F Y H TI.
Maenicudinem maenitudini subducere.
Suneo dux magnitudines A d B, illamajor, haeC minor. Op ortet minorem à majore
Tubducere.
Ouoniam igitur magnieudo magnicudini subducenda est, homozenex auremmagni-
cudineshecerogeneas non adEciune, sunt qua proponuntur dux magnicudines homo-
Genex. Plus autem vel minus non constituunt genera direrla. Ouare noca disjunctio-
nis seu mulex commode minoris à majore het subductio, e disjunctae erunt Aminus B,
Siquidem sinc Simpliceslongitudines lacirudinetre.
Sed (i ad(cendaneper expoliram scalam rel ad(cendentibus genere communicent, Tud
qux conornit delionabuntur denominatione: reluti dicetur A quadearum minus B pl2-
no, vel A cubus iminus B Solido, e similicer in reliquis.
Neque aliter opus fir, si ipla magnieudo quae subducenda est jam adfecta sF; cum tO-
cum de partes diverso jure non debeant censeri: ut si ab A Cuberahenda sic B pluS D, FC-
Sidua eric A minus B, minus D, subductis sigillatim magnitudinibus BeED.
AC S jamnesetur D de ipsa B, de B minus D ab A suberahenda sIF, Residua erit
A minus B plus D, quoniam suberahendo B magnicudinem suberatritur plus Xquo peF
maonicuanem D: ideo addicione illius compentandum.
Solent aurem Analysta Symbolo- adfectionem mulcae indicare. FFhaec ncirfis est
Diophanco, ut adfectio adjunctionis inaezis.
Cum autem non proxonitmr ucra magnieudo sir major vel minor, de ramen subductio
Facienda est, noca differentix est = =id est, minus incerto: ut propoliris A quadrato
ec B plano, atelenela erir A quadrarum = = B plano, vel B planum A = - quadrato.
PR SE C E P F Y M TTT.
Magnicudinem in magnicudinem ducere.
Sunto dua agnitudines A dt B. Oporrer alceram in alceram ducere.
de rocabulo r e vel SV B, velul A in B. quo Sionikcetur hanc in illam ductamfuiste
vel, ux ati, Factam esse sub A ex B, idque simplicirer, si quidem A e B sinc simpli-
unius maonicudinis nomen ducetur in alcerius quoque magnitudinis nomen adErma-
cum, quod tier eric ad ErMatIM, CE in REgaTUIM, nesatuI.
Ouoniamigitur magnicudo in magnicudinem ducenda est, efticient illae ductu luo
maenimaem sibi ipsis heteroseCate acsee ete esca lub iis Air designabitur commo.
ceslossoitudineslacicudinctre.
Sed hiadscendant inscala, vel eis oenere communicent, iplas lalartum vel eis genere
communicantium adhibere conren aCHOMMLIONeS, UE pOre A quadrarum in B, vel A
quaatatum in B planum Colidum. ve, ex lImilITer In LCHGHIS.
Duod si ducendae magnicudines, ret Cat aCCLd UHE duorum rel plurium nominum,
Cld lub legmentis alicujus magnicudins equa facto sub cota. FF cum adtrmatum
nihil ideo direrh in opere accidir. Ouoniam totum est luis partibus aequale, ideoque fa