On Euclidean and Non-Euclidean Geometry by Hukum Singh DESM
... a great geometrician lived a couple of generations before Euclid. It is said that Plato put a sign above the door to his academy saying “Let no one enter who is unfamiliar with geometry”. Plato probably learnt geometry from Pythagoras (600 B.C.) whereas Pythagoras learnt from Thales (600 B.C.). The ...
... a great geometrician lived a couple of generations before Euclid. It is said that Plato put a sign above the door to his academy saying “Let no one enter who is unfamiliar with geometry”. Plato probably learnt geometry from Pythagoras (600 B.C.) whereas Pythagoras learnt from Thales (600 B.C.). The ...
math vocab
... Approximate value—A number or measurement that is close to or near its exact value. Area—The measure, in square units, of the inside region of a closed two-dimensional figure (e.g., a rectangle with sides of 4 units by 6 units has an area of 24 square units). Area base X height Associative property— ...
... Approximate value—A number or measurement that is close to or near its exact value. Area—The measure, in square units, of the inside region of a closed two-dimensional figure (e.g., a rectangle with sides of 4 units by 6 units has an area of 24 square units). Area base X height Associative property— ...
Section 9.1- Basic Notions
... 2. If two points lie in a plane, then the line containing the points lies in the plane. 3. If two distinct planes intersect, then their intersection is a line. 4. There is exactly one plane that contains any three distinct noncollinear points. 5. A line and a point not on the line determine a plane. ...
... 2. If two points lie in a plane, then the line containing the points lies in the plane. 3. If two distinct planes intersect, then their intersection is a line. 4. There is exactly one plane that contains any three distinct noncollinear points. 5. A line and a point not on the line determine a plane. ...
Higher_SoW-Linear
... right-prisms and cylinders Solve a range of problems involving surface area and volume, e.g. given the volume and length of a cylinder find the radius Convert between units of volume ...
... right-prisms and cylinders Solve a range of problems involving surface area and volume, e.g. given the volume and length of a cylinder find the radius Convert between units of volume ...
1.5 Relations between Angles with a Common Vertex
... • A point is that which has no part. It has no length, width or thickness. • A line is a set of continuous points that can extend indefinitely in either of its direction. It has length but without width and thickness. ...
... • A point is that which has no part. It has no length, width or thickness. • A line is a set of continuous points that can extend indefinitely in either of its direction. It has length but without width and thickness. ...
Transformations on the TI-83/84 Graphing
... “2” key. Choose a “mark” to be used to graph the points. You may choose the square, the cross, or the dot. VERY IMPORTANT: Before attempting to look at the graph, hit the ZOOM key on the top row and then scroll down to number 9, “ZoomStat”, and press enter. You should now see the ordered pairs you p ...
... “2” key. Choose a “mark” to be used to graph the points. You may choose the square, the cross, or the dot. VERY IMPORTANT: Before attempting to look at the graph, hit the ZOOM key on the top row and then scroll down to number 9, “ZoomStat”, and press enter. You should now see the ordered pairs you p ...
Mathematics Course: Pre-AP Geometry Designated Grading Period
... formed by parallel lines to solve problems. Parallel lines of a segment are cut by a transversal and Perpendicular bisector equidistant from the prove equidistance “Prove” by using formal Theorem endpoints of the between the endpoints proof to be shown in Transversal segment. of a segment and points ...
... formed by parallel lines to solve problems. Parallel lines of a segment are cut by a transversal and Perpendicular bisector equidistant from the prove equidistance “Prove” by using formal Theorem endpoints of the between the endpoints proof to be shown in Transversal segment. of a segment and points ...
Cartesian coordinate system
A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances from the point to two fixed perpendicular directed lines, measured in the same unit of length. Each reference line is called a coordinate axis or just axis of the system, and the point where they meet is its origin, usually at ordered pair (0, 0). The coordinates can also be defined as the positions of the perpendicular projections of the point onto the two axes, expressed as signed distances from the origin.One can use the same principle to specify the position of any point in three-dimensional space by three Cartesian coordinates, its signed distances to three mutually perpendicular planes (or, equivalently, by its perpendicular projection onto three mutually perpendicular lines). In general, n Cartesian coordinates (an element of real n-space) specify the point in an n-dimensional Euclidean space for any dimension n. These coordinates are equal, up to sign, to distances from the point to n mutually perpendicular hyperplanes.The invention of Cartesian coordinates in the 17th century by René Descartes (Latinized name: Cartesius) revolutionized mathematics by providing the first systematic link between Euclidean geometry and algebra. Using the Cartesian coordinate system, geometric shapes (such as curves) can be described by Cartesian equations: algebraic equations involving the coordinates of the points lying on the shape. For example, a circle of radius 2 in a plane may be described as the set of all points whose coordinates x and y satisfy the equation x2 + y2 = 4.Cartesian coordinates are the foundation of analytic geometry, and provide enlightening geometric interpretations for many other branches of mathematics, such as linear algebra, complex analysis, differential geometry, multivariate calculus, group theory and more. A familiar example is the concept of the graph of a function. Cartesian coordinates are also essential tools for most applied disciplines that deal with geometry, including astronomy, physics, engineering and many more. They are the most common coordinate system used in computer graphics, computer-aided geometric design and other geometry-related data processing.