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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 17
# Folio 1r, page id 00067979:0001
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DE C0NSTRUCTIOME
Ex quo Analysis Characteristica a Vieta
Ex quo Algebram ad lineas accommodare
vieta inprimis et Cartesius seculum docuere
agnitum est a plerisque omnibus, ad solvenda prblemata
in quibus rectarum quarundam comparatione
cum aliis rectis dessignatarum valor ac descriptio
quaeritur, nihil fingi posse praestantius; diffi
cum omnis difficultas problematis  aequatione
inclusa sit, cujus tantum radixes quae runtur;
sed illud tamen semper a praestantibus qeometris
objectum est, constructiones Geometricas
calculi restigiis nixas plerumque ab illa simplicitate
atque elegantia longe abesse, qua veteres implicata +per synthesin
saepe problemata dedore absolvere. Exemplo
nobis esse potest constructio problematum solidorum
ope Circuli et parabolae quam Cartesius tradidit
ubi aequationis quadrate- quadraticae aut subicae
secundum terminum tolli postulat quo facto
etiam suapte natura simplicissimam. Et ea tamen fonmuta construendi cartest tanto per e placuit
constat non modiocriter intumescere aequationem
Haec cum inter veteres novosque Geometras vel
inter studio partium calentes vagitarentur,
anuis imperfectionem cognitae
eraliss
hactenue analus seo in constructionibus apparere
agnoscerent, non ideo tamen repudiandam putavere
tum ob ingentia commoda quae m ipsa invieniendi
arte, quae nullis veterum datis supplerentur,
tum quod spes esset posse aliquando ex Analysi
ad constructiones contrahendas aditum reperiri
ad artem  syntheseos, qua constructiones
elegantes et veteribus dignae, redderentur
Mihi quaenam in hoc quoque argumentum
incumbendi fuerit ratio dicam vel quideo
quod hc plurimum inde lucis instituto meo accessurum
arbitrer. Desarguesius et Pascalius filius
prestantes omnium consensu Geometrae rem
veteribus, quantum ex servatis eorum scriptis judicari
possit intactam aggressi erant. Sciertiam
Cnicorm universalie Conicorum demonstratione
complecti, qua et harmonia appareret et proprietates
communes observarentur, et constructiones problematum
quae in his lincis effcienda ds proponerentur
in dumeris
ut omnium quas qui exprate possit perfe-
ctissimiam et generalissimam affirmaverit
H Sectionum Com