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Solid
Geometry - Solid Figures |
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Prisms |
Cube |
Rectangular
prism - cuboid |
Right
triangular prism |
Regular
right triangular prism |
Regular
right hexagonal prism |
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Pyramids |
Regular
square pyramid |
Regular
triangular pyramid |
Regular
hexagonal pyramid |
Right
pyramidal frustum |
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Regular
Polyhedrons |
Tetrahedron |
Octahedron |
Dodecahedron |
Icosahedron |
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Solids
of Revolution |
Cone |
Conical
frustum |
Cylinder |
Sphere |
Spherical cap |
Spherical segment |
Spherical sector |
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Solid figures solved problems,
examples |
Solid figures solved problems,
examples |
Solid figures solved problems,
examples - A |
Solid figures solved problems,
examples - B |
Solid figures solved problems,
examples - C |
Solid figures solved problems,
examples - D |
Solid figures solved problems,
examples - E |
Solid figures solved problems,
examples - F |
Solid figures solved problems,
examples - G |
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Application
of Trigonometry |
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Right-angled
Triangle
or Right Triangle |
Trigonometric functions of an acute angle defined in a right triangle
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Solving right triangles |
Solving right triangles examples |
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Oblique
or Scalene Triangle |
The
sine law (rule) or the law of sines |
The
cosine
law (rule)
or
the law of
cosines |
Calculating angles
of an oblique triangle |
Solving oblique triangles - use of
the sine law and the cosine law |
Solving oblique triangles
examples |
Mollweide's formulas, the tangent
law (or the tangent rule) and half-angle formulas |
The tangent law or the tangent rule |
Half-angle formulas |
Area of a triangle, the radius of
the circumscribed circle and the radius of the inscribed circle |
The radius of the circumscribed circle or circumcircle |
Area of a triangle in terms of the inscribed circle or incircle |
The
radius of the inscribed circle |
Oblique or scalene triangle
examples |
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Application of Trigonometry in Plane Geometry, Solid Geometry,
Plane Surveying and Physics |
Applications
of trigonometry in Plane Geometry |
The parallelogram - Area of a
parallelogram |
Trapezoid or trapezium |
The area of a trapezoid given its four sides
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The area of the trapezoid given two parallel sides
(bases) and angles at the ends of the longer base |
Diagonals of a trapezoid,
determining the diagonals of the trapezoid given its four sides |
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Applications
of trigonometry in Solid Geometry |
Right pyramid |
Right pyramids, examples |
Sections of solids |
Sections of solids, examples |
Oblique prism |
Oblique Pyramid |
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Applications
of Trigonometry in Geodesy (or Plane Surveying) and Physics |
Applications in geodesy or plane
surveying |
Applications in physics |
An example of using trigonometry in
optics |
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Volume
and Surface Area of Solids of Revolution, Guldin’s Rules |
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Copyright
© 2004 - 2020, Nabla Ltd. All rights reserved. |