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Transcript of Greek Mathematicians
Thanks for Theorems like:
Any angle inscribed in a semi circle is a right angle
A circle is bisected by its diameter
Base angles of isocels triangles are equal
Two sides of similar triangles are proportional
SAA congruence of triangles
They also gave us:
Pay Homage to the Greeks
Where'd this stuff come from...?
You get to...
Greek Geeks and
By: Erinn Lawson
G.C.1 Solve real-world and mathematical
problems using the properties of circles.
G.C.1.1 Apply the properties of circles to solve problems involving circumference and area, approximate values and in terms of , using algebraic and
G.C.1.2 Apply the properties of circles and relationships among angles; arcs; and distances in a circle among radii, chords, secants and tangents to solve
problems using algebraic and logical reasoning.
Then Right Triangle Trig
The Greeks made major contributions to
advance Mathematics from 600 = 225 B.C.
Thales of Miletus
Pathagoras of Samos
Zeno of Elea
Eratosthenes of Cyrene
And quite possibly your favorite...
Laws of logic
The geometers immediately following Pythagoras (c. 580–c. 500 bc) shared the unsound intuition that any two lengths are “commensurable” (that is, measurable) by integer multiples of some common unit. To put it another way, they believed that the whole (or counting) numbers, and their ratios (rational numbers or fractions), were sufficient to describe any quantity. Geometry therefore coupled easily with Pythagorean belief, whose most important tenet was that reality is essentially mathematical and based on whole numbers. Of special relevance was the manipulation of ratios, which at first took place in accordance with rules confirmed by arithmetic. The discovery of surds (the square roots of numbers that are not squares) therefore undermined the Pythagoreans. According to legend, the Pythagorean discoverer of incommensurable quantities, now known as irrational numbers, was killed by his brethren.
True or False
not both, and
no in between!
Choose a partner, a few groups of 3 are allowed but choose wisely.
Choose a Greek Mathematician to research.
Contributions to Mathematics
EVERYONE MUST DO A PART OF THE RESEARCH
& A PART IN THE PRESENTATION
for each member along with a
Decide how you will present
including but not limited to...
The Golden Ratio
History of Math Class Notes / Readings