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Logic Scheme of Main Results in Euclidean Geometry
Basic definitions
Euclid’s fifth postulate
Supplements.
Opposite angles.
Corresponding angles,
Alternate angles
Parallelogram properties.
Rectangle Properties.
Rhombus properties.
Isosceles triangles
SSS
SAS, ASA
Congruent triangles
Pythagora’s theorem
Properties of angle bisectors
Sum of angles in a
triangle is 180 deg.
Midline properties
Properties of medians Centroid
Incentre
Properties of segment bisectors Circumcentre
Properties of heights
Properties of circles:
angles, secants, tangents
Orthocentre
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