Natural Homogeneous Coordinates
... Coordinates In projective geometry parallel lines intersect at a point. • The point at infinity is called an ideal point. • There is an ideal point for every slope. • The collection of ideal points is called an ideal line. • We might think of the line as a circle. ...
... Coordinates In projective geometry parallel lines intersect at a point. • The point at infinity is called an ideal point. • There is an ideal point for every slope. • The collection of ideal points is called an ideal line. • We might think of the line as a circle. ...
Read 1.4, 2.6 Incidence Axiom 1. For each two distinct points there
... points P and Q of a line, the coordinate system can be chosen in such a way that the coordinates of P and Q are 0 and 0. 5. (a) Every plane contains at least 3 noncollinear points. (b) Space contains at least 4 noncoplanar points. 6. If 2 points lie in a plane, then the line containing these point ...
... points P and Q of a line, the coordinate system can be chosen in such a way that the coordinates of P and Q are 0 and 0. 5. (a) Every plane contains at least 3 noncollinear points. (b) Space contains at least 4 noncoplanar points. 6. If 2 points lie in a plane, then the line containing these point ...
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... • An obtuse angle is one which is more than 90° but less than 180° In other words, it is between a right angle and a straight angle ...
... • An obtuse angle is one which is more than 90° but less than 180° In other words, it is between a right angle and a straight angle ...
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... manner in which there exists a unique Möbius Transformation that takes any 3 points in Ĉ to any other 3 points in Ĉ, and how such a Möbius transformation is unique. We closed the section with a discussion as to the manner in which one would actually construct such a function. (2) Section 6.1: Hy ...
... manner in which there exists a unique Möbius Transformation that takes any 3 points in Ĉ to any other 3 points in Ĉ, and how such a Möbius transformation is unique. We closed the section with a discussion as to the manner in which one would actually construct such a function. (2) Section 6.1: Hy ...
Similarity - Frost Middle School
... b. true 4. Yes, the figures are similar because LMNK = S2.3 rm(ABED). ...
... b. true 4. Yes, the figures are similar because LMNK = S2.3 rm(ABED). ...
transformations vocabulary review
... A fixed point in the plane about which all points are expanded or contracted. It is the only invariant point under a dilation. A dilation of scalar factor k whose center of dilation is the origin may be written: Dk (x, y) = (kx, ky). If the scale factor, k, is greater than 1, the image is an enlarge ...
... A fixed point in the plane about which all points are expanded or contracted. It is the only invariant point under a dilation. A dilation of scalar factor k whose center of dilation is the origin may be written: Dk (x, y) = (kx, ky). If the scale factor, k, is greater than 1, the image is an enlarge ...
Study Guide
... relationships for table 6.2 (page 261-2). Most of these formulas will be provided. 6.3. Line and segment relationships in the circle - Understand and be able to use all segment relationships for table 6.2 (page 261-2). Formulas provided with the test. 6.4. Inequalities for the circle – Know the tabl ...
... relationships for table 6.2 (page 261-2). Most of these formulas will be provided. 6.3. Line and segment relationships in the circle - Understand and be able to use all segment relationships for table 6.2 (page 261-2). Formulas provided with the test. 6.4. Inequalities for the circle – Know the tabl ...
