1. JACENTAD - ADJACENT
2. CASPE - SPACE
3. GLEAN - ANGLE
4. PINTO - POINT
5. LAPOSTUTE - POSTULATE
6. NESTMEG - SEGMENT
HISTORY and DEVELOPMENT of GEOMETRY
1. Greek words
a) ge/geos - earth
b) metron - measure
2. History
a) Pre-historic
> early stone age
> informal geometry of shape
b) Ancient Babylonian & Egypt
> practical geometry of size
> used ropes to measure land
> King Ramases II divided the Nile among his people to collect taxes
c) Ancient Greek
> deductive Geometry
> six giants
1) Thales of Miletus
> Ionian School
> 1st to prove that a circle is bisected by a diameter
> predicted the eclipse of the sun
> introduced general postulate
> used similarly to measure pyramid
2) Plato
> Academy
> "Phaedo" - considers mathematical objects as perfect forms (book)
> 'Let no Ignorant of Geometry enter my doors'
3) Aristotle
> most famous student of Plato
> tutor of Alexander the Great
> differentiated axioms between postulates
> laws of logical reasoning
4) Euclid
> Father of Geometry
> Elements
5) Pythagoras
> Pythagorean theorem was named after him
> Pythagoreans
- listeners, mathematicians
>discovered the sum of the interior angles of a triangle is 180 degrees
6) Archimedes
> Archimedes principle
> Pi/3.1416
> formula of circumference
> invented mechanical devices
> volume of cube is 2/3 the volume of an inscribed cylinder
-Hippocrides
a) wrote the first
"Elements of Geometry"
b) first to show that the ratio of the areas of 2 diameters is equal to the ratio of the squares of their radii
d) Modern Times/Medieval Period
1) Apollonius - "conics"
2) Rene Descartes - coordinate geometry
3) Blaise Pascal - essay on conic sec. -Pascal's triangle
a) ge/geos - earth
b) metron - measure
2. History
a) Pre-historic
> early stone age
> informal geometry of shape
b) Ancient Babylonian & Egypt
> practical geometry of size
> used ropes to measure land
> King Ramases II divided the Nile among his people to collect taxes
c) Ancient Greek
> deductive Geometry
> six giants
1) Thales of Miletus
> Ionian School
> 1st to prove that a circle is bisected by a diameter
> predicted the eclipse of the sun
> introduced general postulate
> used similarly to measure pyramid
2) Plato
> Academy
> "Phaedo" - considers mathematical objects as perfect forms (book)
> 'Let no Ignorant of Geometry enter my doors'
3) Aristotle
> most famous student of Plato
> tutor of Alexander the Great
> differentiated axioms between postulates
> laws of logical reasoning
4) Euclid
> Father of Geometry
> Elements
5) Pythagoras
> Pythagorean theorem was named after him
> Pythagoreans
- listeners, mathematicians
>discovered the sum of the interior angles of a triangle is 180 degrees
6) Archimedes
> Archimedes principle
> Pi/3.1416
> formula of circumference
> invented mechanical devices
> volume of cube is 2/3 the volume of an inscribed cylinder
-Hippocrides
a) wrote the first
"Elements of Geometry"
b) first to show that the ratio of the areas of 2 diameters is equal to the ratio of the squares of their radii
d) Modern Times/Medieval Period
1) Apollonius - "conics"
2) Rene Descartes - coordinate geometry
3) Blaise Pascal - essay on conic sec. -Pascal's triangle
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