The reason why Euclid was known as the father of geometry because, he was responsible for assembling all the world’s knowledge of flat planes and 3D geometry.

Slides:

Advertisements

Similar presentations

Section 9-2 Tangents.

Advertisements

9 – 2 Tangent. Tangents and Circles Theorem 9 – 1 If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the point of.

Axiomatic systems and Incidence Geometry

Learning through failure in mathematics.  Around 300 B.C., Euclid began work in Alexandria on Elements, a veritable “bible of mathematics”  Euclid.

Geometry Review Test Chapter 2.

Foundations of Geometry

a location in space that has no size.

Greek Mathematics and Philosophy.  Thales ( BC): father of mathematical proof.

Euclid BC Author of The Elements –13 books in all. –Standard textbook for Geometry for about 2000 years. Taught in Alexandria, Egypt.

The Axiomatic Method. The axiomatic method I: Mathematical Proofs Why do we need to prove things? How do we resolve paradoxes?

Laws of Nature The Ramsey-Lewis Theory. Review For all P, P is a law of nature iff. The Regularity Theory: For all P, P is a law of nature iff P is a.

INTRODUCTION TO PLANE GEOMETRY

Spherical Geometry. The geometry we’ve been studying is called Euclidean Geometry. That’s because there was this guy - Euclid.

Math 260 Foundations of Geometry

What is Geometry? Make 2 lists with your table:

Introduction. What is Geometry? Definition: Geometry (jee-om-i-tree) – n. The branch of mathematics concerned with the properties of and relationships.

Geometry Honors Section 9.2 Tangents to Circles. A line in the plane of a circle may or may not intersect the circle. There are 3 possibilities.

Spherical Geometry and World Navigation

Euclid’s Plane Geometry

History of Mathematics

CLASS VI. What is Geometry????!!!?? Geometry is the branch of mathematics which deals with the properties and relations of lines, angles, surfaces and.

Viridiana Diaz Period 10 EUCLID. EDUCATION  It is believed that Euclid might have been educated at Plato’s Academy in Athens, although this is not been.

Non-Euclidean Geometry Br. Joel Baumeyer, FSC Christian Brothers University.

Chapter 2 Midterm Review

Axiomatic systems By Micah McKee. VOCAB: Axiomatic system Postulate/Axiom Theorem Axiomatic system Line segment Ray Point Line Plane.

Chapter 9 Geometry © 2008 Pearson Addison-Wesley. All rights reserved.

Copyright © Cengage Learning. All rights reserved.

GEOMETRY BY MISS O.. GEOMETRY (JEE-OM-I-TREE) – N. The branch of mathematics concerned with the properties of and relationships between points, lines,

MAT 333 Fall  As we discovered with the Pythagorean Theorem examples, we need a system of geometry to convince ourselves why theorems are true.

Jeopardy Introductory Geometry Vocabulary Polygon 1 Circles 2 Lines 3 Measure 4 Angles 5 Pot Luck

Chapter 10 Circles Section 10.1 Goal – To identify lines and segments related to circles To use properties of a tangent to a circle.

Michelle Huchette Block 2. * Greek * From Alexandria, taught mathematics there * Worked with prepositions and proofs * Created the basis for teachings.

Warm Up 8/9 1.Given the following endpoints, find the midpoint. a.(-3, -7) and (-6,2) b.(5, -9) and (-7, -25) 2.Given the following endpoint and midpoint,

Euclid’s Postulates 1.Two points determine one and only one straight line 2.A straight line extends indefinitely far in either direction 3. A circle may.

Points, Lines, and Planes 1.2 Ms. Verdino. What will we be learning today? SPI : Use definitions, basic postulates, and theorems about points,

Euclid The famous mathematician Euclid is credited with being the first person to describe geometry.

Contributions of Ancient Greece: Archimedes & Euclid Euclid Archimedes.

H YPERSHOT : F UN WITH H YPERBOLIC G EOMETRY Praneet Sahgal.

Euclid and the “elements”. Euclid (300 BC, 265 BC (?) ) was a Greek mathematician, often referred to as the "Father of Geometry”. Of course this is not.

Euclidean Geometry

§21.1 Parallelism The student will learn about: Euclidean parallelism,

Basic Geometric Elements Point Line Line segment Ray Parallel lines Intersecting lines Perpendicular Angles Vertex Sides.

Euclidean vs Non-Euclidean Geometry

Chapter 3 Parallel and Perpendicular Lines

9-5 Tangents Objectives: To recognize tangents and use properties of tangents.

Tangents May 29, Properties of Tangents Theorem: If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the point.

Tangents November 21, Properties of Tangents Theorem: If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the.

Important Concepts Postulates The geometry concepts that you are going to study through this course are largely based on ideas set forth more than.

Geometry Notes. The Language of Geometry Point: A point is a specific location in space but the point has no size or shape Line: a collection of points.

Geometry Section 10-2 Find Arc Measures.

What is Geometry? Make 2 lists with your table: What geometry content are you confident about? What geometry content are you nervous about?

Vocabulary Word: Supplementary Angles Definition: Two angles whose sum is 180°.

Euclidean Algorithm By: Ryan Winders. A Little on Euclid Lived from 323 – 285 BC Lived from 323 – 285 BC He taught in Alexandria, Egypt He taught in Alexandria,

Geometry 2.2 And Now From a New Angle.

Conditional Statements A conditional statement has two parts, the hypothesis and the conclusion. Written in if-then form: If it is Saturday, then it is.

Triangle Properties and Congruent Triangles. Triangle Side Measures Try to make the following triangles with sides measuring: 5 cm, 8 cm, 16 cm 5 cm,

Foundations of Geometry

Geometry 2.2 And Now From a New Angle. 2.2 Special Angles and Postulates: Day 1  Objectives  Calculate the complement and supplement of an angle  Classify.

Euclid’s Postulates Two points determine one and only one straight line A straight line extends indefinitely far in either direction 3. A circle may be.

3-3: Proving Lines Parallel

9.7 Non-Euclidean Geometries

Questions to Ponder 1-1 & 1-2

Thinking Geometrically: Using Proofs

Euclid The Elements “There is no royal road to Geometry.”

Geometric Construction

Point-a location on a plane.

Term Definition How to Name… Picture.

Subject Matter: Points, Lines, and Planes Objective: TSWBAT understand basic terms and postulates of geometry.

Basic Geometric Elements

DOWN ACROSS Unit 1 Vocabulary Review

Presentation transcript:

The reason why Euclid was known as the father of geometry because, he was responsible for assembling all the world’s knowledge of flat planes and 3D geometry.

 The elements are made up of 13 volumes dealing with subjects such as plane geometry, proportion, the properties of numbers, incomprehensible magnitudes, and solid geometry.  The work is synthesized by hundreds of years of the teachings of mathematicians.  People credited for these books besides Euclid are, Eudoxus, and Theaeteus.  The Elements were know as the most resourceful texts for a long time.

 Euclid was the one to create the postulate!  A postulate is a claim that is put forth and accepted as true.  Euclid’s most famous postulate is the fifth. This is his most well know postulate because it is so complicated and no one has been able to succeed with figuring it out.

 A straight line segment can be drawn joining any two points.  Any straight line segment can be extended indefinitely in a straight line.  Given any straight line segment, a circle can be drawn having the segment as radius and one endpoint as center.  All right angles are congruent.

 If two lines are drawn which intersect a third in such a way that the sum of the inner angles on one side is less than two right angles, then the two lines inevitably must intersect each other on that side if extended far enough. This postulate is equivalent to what is known as the parallel postulate.

“ There is no royal way to geometry” -Euclid