
Chapter 4 (version 3)
... then requiring that f preserve this extra structure. For instance, when a distance function is defined on G1 and G2 we can look only at geometric transformations f: G1 →G2 that preserve the distance between points - what we called isometries in the case of Euclidean geometry. If a notion of angle me ...
... then requiring that f preserve this extra structure. For instance, when a distance function is defined on G1 and G2 we can look only at geometric transformations f: G1 →G2 that preserve the distance between points - what we called isometries in the case of Euclidean geometry. If a notion of angle me ...
Study Guide
... NONVERTICAL LINES ARE PARALLEL IF AND ONLY IF THEY HAVE THE SAME SLOPE !NY TWO VERTICAL LINES ARE PARALLEL 0OSTULATE 3LOPES OF 0ERPENDICULAR ,INES )N A COORDINATE PLANE TWO NONVERTICAL LINES ARE PERPENDICULAR IF AND ONLY IF THE PRODUCT OF THEIR SLOPES IS (ORIZONTAL LINES ARE PERPENDICU ...
... NONVERTICAL LINES ARE PARALLEL IF AND ONLY IF THEY HAVE THE SAME SLOPE !NY TWO VERTICAL LINES ARE PARALLEL 0OSTULATE 3LOPES OF 0ERPENDICULAR ,INES )N A COORDINATE PLANE TWO NONVERTICAL LINES ARE PERPENDICULAR IF AND ONLY IF THE PRODUCT OF THEIR SLOPES IS (ORIZONTAL LINES ARE PERPENDICU ...