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# Title: De Constructione (shelfmarks LH XXXV, I, 17, Bl. 1 - 17; LH 35, I, 17, Bl. 1 - 17)
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DE CONSTRUCTIOE
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 publemata
in quibus rectarum quaruniam comparatione
cum aliis rectis dessignatarum valor ac descriptio
quaeritur, nihil fingi posse praestantius; diff
ina
cum omnis difficultas problematis aequatione
inclusa sit, cujus tantum radixes quae runtur;
sed illud tamen semper a praestantibus quometris
objectum est, constructiones Geometricas
calculi vestigiis nixas plerumque ab illa simplicitate
atque elegantia longe abesse, qua veteres implicata
saepe problemata dedo absolvere. Exemplo
nobis esse potest constructio problematum solidorum
ope Circuli et parabolae quam Cartesius tradidit
ubi aequationis quadrata- quadraticae aut subicae
secundum terminum tolli postulat quo facto
=per synthesin
etiam suapte natura simplicissimam. Et ea tamen fommit construendi Cartesio tanto per e placuit
constat non mediocriter intumescere aequationem
Haec cum inter veteres novosque Geometras vel
int studio partium calentes vagitarentur,
moderatiores quanquam imperfectionem cognitae
literalio,
actens analy seos, in constructionibus apparere
agnoscerent, non ideo tamen repudiandam putavere
tum ob ingentia commoda quae in ipsa invieniendi
arte quae nullis veterumdatis supplerentur,
tum quod spes esset posse aliquando ex Analysi
adconstructiones contrahendas aditum reperiri
ad artem syntheseos, qua constructiones
elegantes et veteribus dignae, redderentur
Mihi quaenam in hoc quoque argumentum
incumbendi fuerit ratio dicam, vel q ideo
quod hplurimum inde lucis instituto meo accessurum
arbitrer.
Desarguesius et Pascalius filius
praestantes omnium consensu Geometrae rem
veteribus, quantum ex servatis eorum scriptis judicari
possit intactam aggressi erant. Scientiam
nicor universalia Conicorum demonstratione
complecti, qua eharmonia appareret et proprietates
communes observarentur et constructiones problematum
quae in his lincis efficienda deset proponerentur
in numeris
ut omnium quas quis exoptare possit perfe–
Cdissimam et generalissimam affirmaverit
 sectionum Com