11_Geom_Gusev_2007
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General book
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Entries: 68
В.А.Гусев
Ж.Қайдасов
Ә.Қағазбаева.
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11_Geom_Gusev_2007
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Entries
68
Preface
Other
Page 4
Chapter I. Polyhedra and their surface areas
Theory
Page 5
Definition of a polyhedron. Elements of a polyhedron
Theory
Page 5
Trihedral and polyhedral angles
Theory
Page 5
Properties of polyhedral angles
Theory
Page 6
Concept of a polyhedron
Theory
Page 8
Problems for independent solving for sections 1.1-1.3
Problem
Page 11
Prism
Theory
Page 11
Prism and its properties
Theory
Page 11
Parallelepipeds and their properties
Theory
Page 13
Net of a prism. Surface area of a prism
Theory
Page 15
Problems for independent solving for sections 2.1-2.3
Problem
Page 16
Problems for independent solving for section 2.4
Problem
Page 17
Pyramid
Theory
Page 18
Definition and general properties of a pyramid
Theory
Page 18
Frustum of a pyramid
Theory
Page 20
Net of a pyramid. Surface area of a pyramid
Theory
Page 21
Sections of polyhedra
Theory
Page 22
Problems for independent solving for sections 3.1-3.2
Problem
Page 23
Problems for independent solving for sections 3.3-3.4
Problem
Page 24
Regular polyhedra
Theory
Page 26
4-бөлімге өз бетінше шығаруға арналған есептер
Problem
Page 27
Chapter II. Solids of revolution
Theory
Page 28
Cylinder
Theory
Page 28
Cylinder as a solid of revolution
Theory
Page 28
Section of a cylinder
Theory
Page 29
Net of a cylinder and its surface area
Theory
Page 31
Inscribed and circumscribed prisms
Theory
Page 32
Problems for independent solving for sections 5.1-5.2
Problem
Page 33
Problems for independent solving for section 5.3
Problem
Page 34
Problems for independent solving for section 5.4
Problem
Page 34
Cone
Theory
Page 35
Cone as a solid of revolution
Theory
Page 35
Plane section of a cone
Theory
Page 36
Net of a cone and its surface area
Theory
Page 37
Inscribed and circumscribed pyramids
Theory
Page 38
Frustum of a cone
Theory
Page 39
General formula for lateral surface area of some solids of revolution
Theory
Page 41
Problems for independent solving for sections 6.1-6.2
Problem
Page 43
Problems for independent solving for section 6.3
Problem
Page 44
Problems for independent solving for section 6.4
Problem
Page 45
Problems for independent solving for section 6.5
Problem
Page 45
Sphere and ball
Theory
Page 46
Properties of a sphere and a ball
Theory
Page 46
Plane section of a ball and a sphere
Theory
Page 48
Tangent plane to a sphere
Theory
Page 50
Parts of a sphere and a ball
Theory
Page 51
Inscribed and circumscribed polyhedra
Theory
Page 53
Surface areas of a sphere and its parts
Theory
Page 55
Problems for independent solving for sections 7.1-7.3
Problem
Page 56
Problems for independent solving for sections 7.4-7.6
Problem
Page 57
Chapter III. Volumes
Theory
Page 59
Volumes of polyhedra
Theory
Page 59
General information about volume
Theory
Page 59
Cavalieri's principle
Theory
Page 62
Volume of a prism
Theory
Page 64
Volume of a pyramid
Theory
Page 66
Similarity of figures in space. Volumes of similar figures
Theory
Page 72
Problems for independent solving for sections 8.1-8.3
Problem
Page 75
Problems for independent solving for sections 8.4-8.5
Problem
Page 77
Volumes of solids of revolution
Theory
Page 77
Volume of a cylinder
Theory
Page 77
Volume of a cone
Theory
Page 78
Volume of a ball
Theory
Page 80
Volumes of parts of a ball
Theory
Page 82
Problems for independent solving for section 9.1
Problem
Page 84
Problems for independent solving for section 9.2
Problem
Page 85
Problems for independent solving for sections 9.3-9.4
Problem
Page 87
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