1.

branch of mathematics dealing with properties

measurements, and relations of points, lines, angles, planes, and solids
2.
Geometry comes from the Greek words “ge” (geos, geo, gaia) meaning _____ and “metron” (metrein, metre, metria) meaning _______
3.
History of Geometry

period in geometry

informal Geometry of shape

early stone age

geometric figures such as circles, squares, and triangles can be found in wall paintings
4.

intuitive or practical geometry of size

King Ramses II divided the Nile among his people in return for taxes

land surveying

pyramid building

because of the yearly overflowing of the Nile, the people of Ten had to remeasure their land
5.

Deductive Geometry

Practical aspect of Geometry

More on reasoning
6.
× First Father of one of two fathers of Geometry
× First among 7 wise men of Greece
7.
× Founded the “Pythagoras”
× Discovered the sum of interior angles is a triangle is 180
× Pythagorean Theorem
8.
× Founded “the academy” in 387 BC
9.
× Most famous student of Plato
× Tutor of Alexander the Great
10.
× Greatest of Greek mathematicians and was also an inventor of many mechanical devices (including the screw, the pulley, and the lever) physics
11.
× Second father of geometry
12.
Euclid developed geometry from the science of _______ to the science of __________
13.
× Introduced the terms parabola, ellipses, and hyperbola in his famous book the “conics”
14.
× Published an essay on conic sections
15.
× Noted the difference between an axiom and a postulate
× Developed the laws of logical reasoning
16.
× Developed a theory of forms, in his book “Phaedo” which considers mathematical objects as perfect forms
17.
× First to prove that a circle is bisected by its diameter
× Measured the height of a pyramid using the idea on similarity and predicted an eclipse of a sun
18.
Founded the Ionian school
19.
× Best known for his 13 books treatise
× “the Elements” collecting the theorems of Pythagoras, Hippocrates, Theatetus, Euxodus, and other predecessors into a logically connected whole
20.
× Wrote the first “elements of Geometry” which Euclid may have used as a model
× First to show that the ratio of the squares is of their radii
21.
× Pi, circumference
× Proved that the volume of a cube is 2/3 the volume of a circumscribed cylinder
22.
× Coordinate system or coordinate on analytical geometry Cartesian plane
× First to use letters to represent numbers
23.
The great geometer
24.
Involves the derivation of conclusion that is supported by a statement
25.
Guessing, does not require mathematical proofs, knowing without the use of reasoning or rational process