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17 Cards in this Set
- Front
- Back
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6 areas/volumes babylonians knew
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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
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divided a circle into 360 parts
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major contribution of babylonians
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believed that geometry may have originated in egypt because they needed to re-establish boundary lines after the nile river overflowed each year
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herodotus
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egyptians used geometry to
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build temples and pyramids (3000 to 1500 BC)
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probably learned geometry from the egyptians/babylonians
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thales
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referred to as one of the seven wise men of antiquity
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thales
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first to use demonstrative geometry
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thales
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5 theorems used by thales
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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
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founded a brotherhood
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pythagoras
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believed in reincarnation/secret rituals
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pythagoras brotherhood
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believed that one earns the right to go to heaven by studying music and math
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p brotherhood
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according to e.t. bell pythagoras's greatest achievement was
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introduction of proofs into the study of mathematics
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pythagorean theorem
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a2+b2=c2
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father of geometry
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euclid
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most well-known work
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the elements
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13 volume treatment of geometry and number theory that made use of axiomatic method
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the elements
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5 postulates in euclid's work
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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
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