Sep. 16th, 2004
(no subject)
Sep. 16th, 2004 10:48 pmKNOW YOUR POSTULATES AND THEOREMS, BITCHES! And your properties, too: (For Algebraic proofs)
Reflexive Property: For every number a, a = a.
Symmetric Property: For all numbers a and b, if a=b then b=a.
Transitive Property: For all numbers a, b, and c, if a = b and b=c, then a=c.
Addition and Subtraction Properties: For all numbers a, b, and c, if a = b, then a + c = b + c and a - c = b - c.
Multiplication and Division Properties: For all numbers a, b, and c, if a = b, then a X c = b X c and if c cannot equal 0, a/c = b/c.
Substitution Property: For all numbers a and b, if a = b, then a may be replaced by b in any equation or expression.
Distributive Property: For all numbers a, b, and c, a(b+c) = ab + ac.
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POSTULATES:
2.1: Through any two points, there is exactly one line.
2.2: Through any three points not on the same line, there is exactly one plane.
2.3: A line contains at least two points.
2.4: A plane contains at least three points not on the same line.
2.5: If two points lie on a plane, then the entire line containing those points lies in that plane.
2.6: If two lines intersect, then their intersection is exactly one point.
2.7: If two planes intersect, then their intersection is a line.
Kthnx
Ivyette @ 11:35 PM
Reflexive Property: For every number a, a = a.
Symmetric Property: For all numbers a and b, if a=b then b=a.
Transitive Property: For all numbers a, b, and c, if a = b and b=c, then a=c.
Addition and Subtraction Properties: For all numbers a, b, and c, if a = b, then a + c = b + c and a - c = b - c.
Multiplication and Division Properties: For all numbers a, b, and c, if a = b, then a X c = b X c and if c cannot equal 0, a/c = b/c.
Substitution Property: For all numbers a and b, if a = b, then a may be replaced by b in any equation or expression.
Distributive Property: For all numbers a, b, and c, a(b+c) = ab + ac.
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POSTULATES:
2.1: Through any two points, there is exactly one line.
2.2: Through any three points not on the same line, there is exactly one plane.
2.3: A line contains at least two points.
2.4: A plane contains at least three points not on the same line.
2.5: If two points lie on a plane, then the entire line containing those points lies in that plane.
2.6: If two lines intersect, then their intersection is exactly one point.
2.7: If two planes intersect, then their intersection is a line.
Kthnx
Ivyette @ 11:35 PM