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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 reestablish boundary lines after the nile river overflowed each year

herodotus


egyptians used geometry to

build temples and pyramids (3000 to 1500 BC)


probably learned geometry from the egyptians/babylonians

thales


referred to as one of the seven wise men of antiquity

thales


first to use demonstrative geometry

thales


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

pythagoras


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

a2+b2=c2


father of geometry

euclid


most wellknown 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
