Pasch's theorem
Pasch's axiom
non-Euclidean geometry
euclidian
euclidean
parabolic geometry
Euclidean geometry
elementary geometry
Thales's theorem
trilinear polarity
affine geometry
duality
Euclidean
inverse
geometrically
de Bruijn-Erdős theorem
pointset
metageometry
Cartesian plane
algebrogeometric
hyperoval
metageometric
rose curve
Euclideanism
control point
line
non-Euclidean
Gauss-Bonnet theorem
commutator
statistical randomness
colometric
plane curve
truncus
gridpoint
metageometrician
noneuclidean geometry
noncentrosymmetrical
geometry
associative
contouring
circle of Apollonius
conchoid of Nicomedes
pole
symmorphic
grid reference
locus
hyperbolic geometry
curvelessness
fixed point
pseudorepresentation
noncentrosymmetric
inclusion map
copunctual
projective geometry
Cartesian space
Möbius transformation
longitudinal
fibre
Sylvester-Gallai theorem
all students take calculus
centroid
polar coordinates
intersection
center
Schubert calculus
fiber
homaloidal
conic
parabola
elation
sexticovariant
conic section
ray
translation
pseudotriangle
mean proportional
morphogeometry
strophoid
analytic geometry
analytical geometry
Brocard triangle
snake
lemniscate
cosine curve
sigmoidal
limit superior
real axis
point cloud
antipoint
polygonal chain
coordinate geometry
wrench
oval
sharpness
tricircular
expansivity
polar coordinate

English words for 'A result in plane geometry which cannot be derived from Euclid's postulates. It states that, given points a, b, c, and d on a line, if it is known that the points are ordered as (a, b, c) and (b, c, d), then it is also true that (a, b, d).'

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