Elements of Geometry and Trigonometry: From the Works of A.M. Legendre |
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Page vi
... Right - angled Triangles , ..... Solution of Oblique - angled Triangles , Problems of Application , ANALYTICAL Analytical Trigonometry Defined , Definitions and General Principles , .. Rules for Signs of the Functions ,. TRIGONOMETRY ...
... Right - angled Triangles , ..... Solution of Oblique - angled Triangles , Problems of Application , ANALYTICAL Analytical Trigonometry Defined , Definitions and General Principles , .. Rules for Signs of the Functions ,. TRIGONOMETRY ...
Page vii
... Right - angled Triangles , • Napier's Circular Parts , Solution of Right - angled Spherical Triangles , Quadrantal ... Triangle , 106 Formula for the Sine of Half an Angle , ..... 108 Area of a Trapezoid , 112 Area of a Quadrilateral ...
... Right - angled Triangles , • Napier's Circular Parts , Solution of Right - angled Spherical Triangles , Quadrantal ... Triangle , 106 Formula for the Sine of Half an Angle , ..... 108 Area of a Trapezoid , 112 Area of a Quadrilateral ...
Page 16
... RIGHT - ANGLED TRIANGLE is one that has one right angle . The side opposite the right angle , is called the hypothe nuse . gd . 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 . gd . An OBLIQUE - ANGLED TRIANGLE is one whose angles are all oblique . If one angle of an oblique - angled triangle ...
Page 17
... angled triangle is obtuse , the triangle is said to be OBTUSE - angled . If all of the angles are acute , the ... right angles . A SQUARE is an equilateral rectangle . 2l . A RHOMBOID is a parallelogram whose angles are all oblique . A ...
... angled triangle is obtuse , the triangle is said to be OBTUSE - angled . If all of the angles are acute , the ... right angles . A SQUARE is an equilateral rectangle . 2l . A RHOMBOID is a parallelogram whose angles are all oblique . A ...
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 will be equal in all their parts . Let the right - angled tri- angles ABC and DEF have ...
... 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 will be equal in all their parts . Let the right - angled tri- angles ABC and DEF have ...
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Common terms and phrases
AB² ABCD adjacent angles altitude angle ACB apothem Applying logarithms base and altitude centre chord circle circumference circumscribed cone consequently convex surface cosec Cosine Cosine D Cotang cylinder demonstrated in Book denote diameter distance divided draw edges Equation feet find the area following RULE Formula frustum given angle greater hence homologous hypothenuse included angle inscribed intersection less Let ABC log cot log sin lower base mantissa measured by half number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle principle demonstrated prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right angles right-angled triangle Scholium segment similar slant height solution sphere spherical polygon spherical triangle square straight line Tang tangent THEOREM triangle ABC triangular prism triedral angle upper base vertex volume whence write the following