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OverviewFull Product DetailsAuthor: C.Herbert Clemens , Michael A. ClemensPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: 1991 ed. Dimensions: Width: 21.00cm , Height: 0.90cm , Length: 27.90cm Weight: 0.930kg ISBN: 9780387975658ISBN 10: 0387975659 Pages: 180 Publication Date: 01 May 1991 Audience: General/trade , General Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsIntuition.- I1e: Geometry is about shapes..- I2e: ... and more shapes..- I3e: Polygons in the plane.- I4e: Angles in the plane.- I5e: Walking north, east, south, and west in the plane.- I6e: Areas of rectangles.- I7e: What is the area of the shaded triangle?.- I8e: Adding the angles of a triangle.- I9e: Pythagorean theorem.- Il0e: Side Side Side (SSS).- I12e: Rectangles between parallels and the Z-principle.- I13e: Areas: The principle of parallel slices.- I14e: If two lines in the plane do not intersect, they are parallel.- I15e: The first magnification principle: preliminary form.- I16e: The first magnification principle: final form.- I17e: Area inside a circle of radius one.- I18e: When are triangles congruent?.- I19e: Magnifications preserve parallelism and angles.- I20e: The principle of similarity.- I21e: Proportionality of segments cut by parallels.- I22e: Finding the center of a triangle.- I23e: Concurrence theorem for altitudes of a triangle.- I24e: Inscribing angles in circles.- I25e: Fun facts about circles, and limiting cases.- I26e: Degrees and radians.- I27e: Trigonometry.- I28e: Tangent ? =(rise)/(run).- I29e: Everything you always wanted to know about trigonometry but were afraid to ask.- I30e: The law of sines and the law of cosines.- I31e: Figuring areas.- I32e: The second magnification principle.- I33e: Volume of a pyramid.- I34e: Of cones and collars.- I35e: Sphereworld.- I36e: Segments and angles in sphereworld.- I37e: Of boxes, cylinders, and spheres.- I38e: If it takes one can of paint to paint a square one widget on a side, how many cans does it take to paint a sphere with radius r widgets?.- I39e: Excess angle formula for spherical triangles.- I40e: Hyperbolic-land.- Construction.- C1e: Copying triangles.- C2e: Copying angles.- C3e: Constructing perpendiculars.- C4e: Constructing parallels.- C5e: Constructing numbers as lengths.- C6e: Given a number, construct its square root.- C7e: Constructing parallelograms.- C8e: Constructing a regular 3-gon and 4-gon.- C9e: Constructing a regular 5-gon.- C10e: Constructing a regular 6-gon.- C11e: Constructing a regular 7-gon (almost).- C12e: Constructing a regular tetrahedron.- C13e: Constructing a cube and an octohedron.- C14e: Constructing a dodecahedron and an icosahedron.- C15e: Constructing the baricenter of a triangle.- C16e: Constructing the altitudes of a triangle.- C17e: Constructing a circle through three points.- C18e: Bisecting a given angle.- C19e: Putting circles inside angles.- C20e: Inscribing circles in polygons.- C21e: Circumscribing circles about polygons.- C22e: Drawing triangles on the sphere.- C23e: Constructing hyperbolic lines.- Proof.- P1e: Distance on the line, motions of the line.- P2e: Distance in the plane.- P3e: Motions of the plane.- P4e: A list of motions of the line.- P5e: A complete list of motions of the line.- P6e: Motions of the plane: Translations.- P7e: Motions of the plane: Rotations.- P8e: Motions of the plane: Vertical flip.- P9e: Motions of the plane fixing (0,0) and (a,0).- P10e: A complete list of motions of the plane.- P11e: Distance in space.- P12e: Motions of space.- P13e: The triangle inequality.- P14e: Co-ordinate geometry is about shapes and more shapes.- P15e: The shortest path between two points....- P16e: The unique line through two given points.- P17e: Proving SSS.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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