Euclid
The Thirteen Elements
What is the name of Euclid's book?
a=a
What is the reflexive property?
This mathematician was killed while doing geometry in the sand. His last words were reportedly, "Do not disturb my circles."
Who is Archimedes?
This triangle has three equal sides and three equal angles.
What is an equilateral triangle?
This refers to a statement that is accepted without proof.
What is a postulate?
This is the most controversial component of Euclid's Elements.
What is postulate 5?
If a=b and b=c, then a=c.
What is the transitive property?
He is said to have never written anything down but perhaps the most famous theorem of all time bears his name.
Who is Pythagoras?
This species of triangle has two equal sides and two equal angles.
What is an isosceles triangle?
In modern geometry, this list of words includes point, line, space and plane.
What are undefined terms?
This was defined by Euclid as "that which lies evenly with the straight lines on itself."
What is a plane surface?
If a=b, then ac=bc.
What is the multiplication property of equality?
He is the modern father of algebra.
Who is Descartes?
This genre of triangles has no equal sides and no equal angles.
What is a scalene triangle?
Figures which are said to have the same size and shape.
What is congruent?
This proposition demonstrated the fact that if two straight lines cut one another, they make the vertical angles equal.
What is Proposition 15?
If a=b and c>0, then a/c=b/c.
What is the division property of equality?
He was the Greek father of algebra.
Who is Diophantus?
This type of triangle is the subject of Propositions 47 and 48.
What is a right triangle?
This is represented algebraically by 180-x.
What is a supplement?
This figure was defined by Euclid as "that which has its opposite sides and angles equal to one another but is neither equilateral nor right-angled."
What is a rhomboid?
If a=b, then b=a.
What is the symmetric property?
He gave us the term "algebra."
Who is al-Khwarizmi?
These are the sides containing the right angle in a right angled triangle, as opposed to the hypotenuse which subtends the right angle.
What are the legs?
This consists of two statements, one of which begins with the word "if" or "when."
What is a conditional or hypothetical statement?