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# Greek Mathematicians

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by

## Erinn Lawson

on 21 July 2016

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#### Transcript of Greek Mathematicians

Modern Mathematics
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:
Triangular numbers

Pay Homage to the Greeks
Where'd this stuff come from...?
You get to...
Geometry
Circles
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
logical reasoning.
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
Plato
Eudoxus
Aristotle
Euclid
Eratosthenes of Cyrene
Archimedes
Apollonius
And quite possibly your favorite...

Perfect numbers
Platonic solids
Incommensurables
Laws of logic
The Elements
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.
Their life
Achiements
Contributions to Mathematics
Fun Facts
are nice
too!
EVERYONE MUST DO A PART OF THE RESEARCH
& A PART IN THE PRESENTATION
Include a
Role Statement
for each member along with a
Bibliography
.
Decide how you will present
Online slideshow
PowerPoint
Poster presentation
Bio Roleplay
including but not limited to...
The Golden Ratio
Next stop:
Sources
Encyclopedia Britanica
https://www.britannica.com/topic/Incommensurables-1688515#ref721715
History of Math Class Notes / Readings
You Tube
Full transcript