The Handy Math Answer Book
When did geometry originate? The field of geometry was probably developed by several cultures over millennia, but only in crude, ...
What Greek mathematicianwrote the book Elements? The Greek mathematician and geometrician Euclid (c. 325–c. 270 BCE) made some o ...
What is Euclidean geometry? Euclidean geometry is named after Euclid, the famous Greek mathematician. It is geometry mostly base ...
including Euclidean and Minkowski space. One of the most general types of mathe- matical spaces is called the topological space. ...
conceptually and/or visually. In fact, the idea of dimensions can even be applied to abstract objects that can’t be directly vis ...
will be the same as from bto a; and the distance between the points does not change if they are totally shifted over in one dire ...
defined by the basic equation axbyc,in which a, b, and care any number, but a and b can’t be zero at the same time. A line seg ...
distance from each other at every point. In three-dimensional Euclidean space, these lines also do not intersect, main- taining ...
How are the simplest anglesclassified? Angles are usually expressed in terms of “rotation,” in which a full rotation is equal— i ...
Alternate and correspond- ing angles—A pair of angles that lie on opposite sides and opposite ends of a transversal (a line that ...
Orthogonal linesare another way of saying lines are perpendicular—but it is mostly used in terms of functions, transformations, ...
What does the term bisectmean? The term “bisect” is important in geometry; it means to cut into two (or divide into half) mainly ...
rems—another type of mathematical statement—can be proven (in addition, theo- rems are proven by definitions or previously prove ...
What does a “plane”mean in geometry? A plane—in geometry or any other field of mathematics—means a surface such that a straight ...
lar polygons, but rather to anytwo-dimensional closed figure with the number of sides as described by its name. For example, the ...
Sides Polygon Name 5 pentagon 6 hexagon 7 heptagon 8 octagon 9 nonagon or enneagon 10 decagon 11 hendecagon or undecagon (even l ...
Acute triangle—All three angles are less than 90 degrees, or the triangle has three acute angles. Obtuse triangle—There is one a ...
legs;the angle formed by these two legs is called the vertex angle;and the baseis the side opposite the vertex angle. The two an ...
The distance of a line segment from the center to the points on the circle is called the radius (or a line segment whose endpoin ...
as solids: We see solids in terms of what surrounds us—three-dimensional figures with their surfaces the actual objects we perce ...
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