Term
postulate 8
1st assumption |
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Definition
| if you ahve the set of all points on a circle, then those points can be put into a one to one correspondence with the real numbers from 0 to 360 in an orderly fahsion with the exception of any one point which will be paired with both 0 and 360 |
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Term
postulate 8
2nd assumption |
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Definition
| if you have two points on a circle, not the endpoints of a diameter, then there correspond to those points exactly two real numbers whose sum is 360 each of which bay then be called the distance between the two points |
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Term
postulate 8
3rd assumption |
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Definition
if you have any two points on a circle, then the two distances between the points, as defined by the resulting two arcs are
1) the absolute value of the difference between the coordinates
2) 360 minus that absolute value |
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Term
postulate 8
4th assumption |
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Definition
| if on a circle a point B lies between points A and C then the measure of arc AB plus the measure fo arc BC is equal to the measure of arc AC this assumption is also called the Arc Addition Addition Assumption |
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