Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Adapted to the Course of Mathematical Instruction in the United States |
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Page vi
... Right - angled Triangles ,. Solution of Oblique - angled Triangles , Problems , .. ANALYTICAL TRIGONOMETRY . Analytical Trigonometry Defined , ... Definitions and General Principles , Rules for Signs of the Functions , 3 4 5 6 7 11 12 ...
... Right - angled Triangles ,. Solution of Oblique - angled Triangles , Problems , .. ANALYTICAL TRIGONOMETRY . Analytical Trigonometry Defined , ... Definitions and General Principles , Rules for Signs of the Functions , 3 4 5 6 7 11 12 ...
Page vii
... Right - angled Triangles , .... 77-80 Napier's Circular Parts , ....... 80 Solution of Right - angled Spherical ... Triangle ,. Formula for the Sine and Cosine of Half an Angle , Area of a Trapezoid , Area of a Quadrilateral , Area of a ...
... Right - angled Triangles , .... 77-80 Napier's Circular Parts , ....... 80 Solution of Right - angled Spherical ... Triangle ,. Formula for the Sine and Cosine of Half an Angle , Area of a Trapezoid , Area of a Quadrilateral , Area of a ...
Page 16
... RIGHT - ANGLED TRIANGLE is one that has one right angle . The side opposite the right angle is called the hypothe- nuse . 2d . An OBLIQUE - ANGLED TRIANGLE is one whose angles are all oblique . If one angle of an oblique - angled triangle ...
... RIGHT - ANGLED TRIANGLE is one that has one right angle . The side opposite the right angle is called the hypothe- nuse . 2d . An OBLIQUE - ANGLED TRIANGLE is one whose angles are all oblique . If one angle of an oblique - angled triangle ...
Page 17
... angle of an oblique - angled triangle is obtuse , the triangle is said to be OBTUSE - ANGLED . If all of the angles ... right angles . A SQUARE is an equilateral rectangle . 2d . A RHOMBOID is a parallelogram whose angles are all oblique ...
... angle of an oblique - angled triangle is obtuse , the triangle is said to be OBTUSE - ANGLED . If all of the angles ... right angles . A SQUARE is an equilateral rectangle . 2d . A RHOMBOID is a parallelogram whose angles are all oblique ...
Page 36
... right - angled triangles have the hypothenuse and a side of the one equal to the hypothenuse and a side of the other , each to each , the triangles are equal in all respects . Let the right - angled triangles ABC and DEF have the ...
... right - angled triangles have the hypothenuse and a side of the one equal to the hypothenuse and a side of the other , each to each , the triangles are equal in all respects . Let the right - angled triangles ABC and DEF have the ...
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Common terms and phrases
AB² ABCD AC² adjacent angles altitude angles is equal apothem base and altitude bisects centre chord circle circumference circumscribed cone consequently convex surface corresponding Cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant equilateral feet find the area formula frustum given angle given line given point greater hence homologous hypothenuse included angle interior angles intersection less Let ABC logarithm lower base mantissa mean proportional measured by half number of sides parallel parallelogram parallelopipedon perimeter perpendicular plane angles plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right angles right-angled triangle Scholium secant segment side BC similar sine slant height solution sphere spherical angle spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence