- In geometry, a
quadratrix (from
Latin quadrator 'squarer') is a
curve having ordinates which are a
measure of the area (or quadrature) of
another curve...
- The
quadratrix or
trisectrix of
Hippias (also
quadratrix of Dinostratus) is a
curve which is
created by a
uniform motion. It is one of the
oldest examples...
-
Method of
exhaustion Parallel postulate Platonic solid Lune of
Hippocrates Quadratrix of
Hippias Regular polygon Straightedge and comp****
construction Triangle...
-
circle possible in some sense. For example, Dinostratus'
theorem uses the
quadratrix of
Hippias to
square the circle,
meaning that if this
curve is somehow...
- integral.
Gaussian quadrature Hyperbolic angle Numerical integration Quadratrix Tanh-sinh
quadrature Lindemann, F. (1882). "Über die Zahl π" [On the number...
- A
mathematical discovery ascribed to
Hippias is
sometimes called the
quadratrix of Hippias. His
great skill seems to have
consisted in
delivering grand...
- Therefore,
construction of a
chiliagon requires other techniques such as the
quadratrix of Hippias,
Archimedean spiral, or
other auxiliary curves. For example...
-
Archimedean Spiral Quadratrix of
Hippias Sectrix of
Maclaurin Sectrix of Ceva
Sectrix of
Delanges Doubling the cube
Neusis construction Quadratrix Loy, Jim "Trisection...
-
Method of
exhaustion Parallel postulate Platonic solid Lune of
Hippocrates Quadratrix of
Hippias Regular polygon Straightedge and comp****
construction Triangle...
-
Hippias of Elis
about 420 BC, and
known by the name, τετραγωνισμός, or
quadratrix.
Proposition 30
describes the
construction of a
curve of
double curvature...
