Chapter 4: Geometry

More documents

Recommendations

Info

¾¾¾¾ p2 ¾ £ ¾¾ cmm £ ¾¾¾¾ pmm ¾ p4 £ ¾ p4g £ ¾ p4m © 2003 by CRC Press LLC
Æ p1 ¿¿¿ p3 £ ¿¿¿ p3m1 ¿ £ ¿ p31m ¿¾ p6 £ ¿¾ p6m © 2003 by CRC Press LLC
Page 1 and 2: Chapter Geometry 4.1 COORDINATE SY
Page 3 and 4: 4.19.2 Oblique spherical triangles
Page 5 and 6: FIGURE 4.1 Change of coordinates by
Page 7 and 8: 4.1.4.1 Relations between Cartesian
Page 9 and 10: This formula also covers passing fr
Page 11 and 12: EXAMPLE To nd the matrix for a rota
Page 13: Æ p1 ¢¢ pg ££ pm ¢£ cm ¾¾
Page 17 and 18: (also known as a homothety) with an
Page 19 and 20: (In an oblique coordinate system, e
Page 21 and 22: 4.4.4 CONCURRENCE AND COLLINEARITY
Page 23 and 24: FIGURE 4.10 Notations for an arbitr
Page 25 and 26: FIGURE 4.12 Left: Ceva’s theorem.
Page 27 and 28: 2. The rhombus or diamond Ð , wher
Page 29 and 30: 4.6 CONICS A conic (or conic sectio
Page 31 and 32: FIGURE 4.17 Hyperbola with transver
Page 33 and 34: (c) If ¼, the equation again repr
Page 35 and 36: (a) The area of the ellipse is ¾
Page 37 and 38: 8. Let Ä be any line in the plane.
Page 39 and 40: FIGURE 4.18 The arc of a circle sub
Page 41 and 42: FIGURE 4.21 The semi-cubic parabola
Page 43 and 44: FIGURE 4.24 De ning property of the
Page 45 and 46: FIGURE 4.27 Left: initial con gurat
Page 47 and 48: FIGURE 4.29 The Bernoulli or logari
Page 49 and 50: 4.7.7 CLASSICAL CONSTRUCTIONS The a
Page 51 and 52: and the positive polar axis, and th
Page 53 and 54: mations of the following types: 1.
Page 55 and 56: 7. Re ec tion in a plane with equat
Page 57 and 58: 4.10.3 PROJECTIVE TRANSFORMATIONS A
Page 59 and 60: 6. The angle between two planes ¼
Page 61 and 62: Angle between lines with direction
Page 63 and 64: FIGURE 4.35 The Platonic solids. To
Page 65 and 66:
FIGURE 4.36 Left: an oblique cylind
Page 67 and 68:
For a frustum of a right circular c
Page 69 and 70:
Given a general quadratic equation
Page 71 and 72:
FIGURE 4.40 Left: a spherical cap.
Page 73 and 74:
FIGURE 4.41 Right spherical triangl
Page 75 and 76:
ØÒ ØÒ ØÒ ¾ ¾ ¾
Page 77 and 78:
The angle between these vectors, «
Page 79 and 80:
esults hold at point f´Øµ of :
Page 81 and 82:
Asymptotic direction Asymptotic lin
Page 83 and 84:
8. The principal directions Ù Ú
Page 85 and 86:
4.21 ANGLE CONVERSION Degrees Radia
show all

Chapter 4: Geometry

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?