Exploring Geometry with a 9
... The idea of converse lies behind the diagram on the right. In Euclidean geometry when two lines are parallel the alternate angles are equal. A question that is not often asked is Does the converse also apply?. When two alternate angles are equal does it follow that the two lines are parallel? Is thi ...
... The idea of converse lies behind the diagram on the right. In Euclidean geometry when two lines are parallel the alternate angles are equal. A question that is not often asked is Does the converse also apply?. When two alternate angles are equal does it follow that the two lines are parallel? Is thi ...
Handout 1 - Mathematics
... This first handout is an introduction to plane geometry. We will give rigorous definitions of points, lines, rays, line segments and angles. Various results seem evident and we will accept without proof. Such statements are called axioms. For example, we will simply assume that there goes a unique l ...
... This first handout is an introduction to plane geometry. We will give rigorous definitions of points, lines, rays, line segments and angles. Various results seem evident and we will accept without proof. Such statements are called axioms. For example, we will simply assume that there goes a unique l ...
QUESTIONS for latest set of presentations
... will never meet on either side. d. If two straight lines are cut by a transversal and the sum of the measure of the interior angles equals 180, then the two lines will never intersect, thus making them parallel. True or False: Saccheri was able to create a very convincing proof that showed if the ne ...
... will never meet on either side. d. If two straight lines are cut by a transversal and the sum of the measure of the interior angles equals 180, then the two lines will never intersect, thus making them parallel. True or False: Saccheri was able to create a very convincing proof that showed if the ne ...
circle… - cmasemath
... My angles must all be the same size. My diagonals are congruent. My diagonals are perpendicular to one another. My diagonals bisect one another. I am a parallelogram, but I also have a more specific name. I am a regular shape. I am a rectangle, but I also have a more specific name. All my sides are ...
... My angles must all be the same size. My diagonals are congruent. My diagonals are perpendicular to one another. My diagonals bisect one another. I am a parallelogram, but I also have a more specific name. I am a regular shape. I am a rectangle, but I also have a more specific name. All my sides are ...
Perspective (graphical)
Perspective (from Latin: perspicere to see through) in the graphic arts is an approximate representation, on a flat surface (such as paper), of an image as it is seen by the eye. The two most characteristic features of perspective are that objects are smaller as their distance from the observer increases; and that they are subject to foreshortening, meaning that an object's dimensions along the line of sight are shorter than its dimensions across the line of sight.Italian Renaissance painters including Paolo Uccello, Piero della Francesca and Luca Pacoima studied linear perspective, wrote treatises on it, and incorporated it into their artworks, thus contributing to the mathematics of art.