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Consider the unary relational symbols P and L, and the binary relational symbol On, where P(a) and I(a) encode that a is a point and a (straight) line in the 2-dimensional space, respectively, while On(a,b) encodes that a is a point, b is a line, and o lies on b.
Write first-order formulas over these relational symbols expressing the following (you can use the equality relation between lines/points):
(a) On every line, there lie at least two different points.
(b) Any two lines sharing at least two different points are identical.
(c) For any two different points, there exists exactly one line on which they lie.
Determine the measure of the vertex angle of the isosceles triangle. a. 34° b. 16° c. 58° d. 112° d. Simply substitute x = 34 into the equation for the vertex angle,
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Write down the equation of the line which passes through the points (2, -1, 3) and (1, 4, -3). Write all three forms of the equation of the line. Solution To do the above
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