Geometry for the classroom : exercises and solutions
著者
書誌事項
Geometry for the classroom : exercises and solutions
Springer-Verlag, c1991
- : New York
- : Berlin
大学図書館所蔵 全22件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Includes index
内容説明・目次
- 巻冊次
-
: New York ISBN 9780387975658
内容説明
This workbook is intended for college courses for prospective or in-service secondary school teachers of geometry. It contains solutions and commentary to the numerous exercises in the accompanying workbook.
目次
Intuition.- 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.
- 巻冊次
-
: Berlin ISBN 9783540975656
内容説明
This workbook is intended for college courses for prospective or in-service secondary school teachers of geometry. It contains solutions and commentary to the numerous exercises in the accompanying workbook.
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