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# Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 16
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Tetragonistica est ea pars Geometriae
quae de Curvilineorum magnitudine agit.
nam ets
sive enim de cur arcar extentione curvae
lineae in rectam, vel superficiei gibbae expansione
in planam, vel etiam de transmutatione
solidi curvilinei in rectilineum agatur,
semper problema eo reduci potest, ut
tantum figurae alicujus planae curvilinea
ei pl sive tetragonismus
id est, ad quadratum aliudve rectilineum
aequale, desideretur. Idem est quoties
Unde inventiones quoque centrorum gravitatis
ad Tetragonisticam pertinent, pleraque
alia problemata Mechanica praestantiora,
quaties ad pura Geometriae terminos
revocantur ad terminos Geom purae
Geometriae revocata.
Haec Geometriae pars  longe alia illa
difficilior est, in qua de magnitudine rectilineorum,
aut situ tantum interfectionibusque linearum
curvarum Aitur quarum scilicet locam
puncta, omnia solis rectarum aut ab
rectis, potentiarum stam
itaque illa Geometriam revera tantum
Rectilinearem appellandam censeo, quia
non nisi liniarum rectarum rectilineorum
magnitudine et indiget. Quin imo
Recti Geometria Rectilinearis sola Algebrae
prorsus subjecta est; Tetragonistica
autem limites ejus longe transcendit.
Unde si quis  (ut facillimo utar exemplo)
quadraturam parabolae ignoraret, nunquam
eam eamque per algebram quaerendo, aequationem
expectaret, quales Algebra praebere solet,
operam certe luderet in qua scililet incognita
quantitas ad certam aliquam dignitatem
assurgeret; is certe operam luderet.
usque adeo ut quaerenti an tale problema
planum an solidum an sursolidum sit non
aliter responderi possit, quam neque planum
neque solidum sed nullius plane gradus esse.
quanquam enim ratio segmenti parabolici
ad planum parabolae figurae parabolicae ad
trianguli rectanguli circumscripti ad
trit spatium parabolicum sesquialtera,
adeoque sib, adeoque alterum alteri sit commensurabile,
adeoque ex rectangulo magnitudinem parabolae
invenire, videatur problema simplex. haec tamen tam simplex
ratio si  novelat aequntim caculo certr
etragonistica
aut physica
+Solummodo agitur