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17 Cards in this Set

  • Front
  • Back
6 areas/volumes babylonians knew
area of a rectangle/area of a right and isosceles triangle/area and circumference of circles/volume of a right cylinder/area of a trapezoid having one leg perpindicular to its base/volume of a prism with a trapezoidal base
divided a circle into 360 parts
major contribution of babylonians
believed that geometry may have originated in egypt because they needed to re-establish boundary lines after the nile river overflowed each year
egyptians used geometry to
build temples and pyramids (3000 to 1500 BC)
probably learned geometry from the egyptians/babylonians
referred to as one of the seven wise men of antiquity
first to use demonstrative geometry
5 theorems used by thales
one circle is bisected by any diameter/base angles of an isosceles triangle are congruent/vertical angles are equal in measure/asa and aas/an angle inscribed in a semicircle is a right angle
founded a brotherhood
believed in reincarnation/secret rituals
pythagoras brotherhood
believed that one earns the right to go to heaven by studying music and math
p brotherhood
according to e.t. bell pythagoras's greatest achievement was
introduction of proofs into the study of mathematics
pythagorean theorem
father of geometry
most well-known work
the elements
13 volume treatment of geometry and number theory that made use of axiomatic method
the elements
5 postulates in euclid's work
a straight line can be drawn between any two points/a finite line can be produced continously in a straight line/a circle can be described by any center and any distance/all right angles are equal/if a straight line falling on two straight lines makes interior angles on the same side less than two right angles, the two straight lines if extended indefinitley meet on the side on which are the angles less than two right angles