Elements of Geometry and Trigonometry: From the Works of A. M. Legendre |
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Page 6
... Right - angled Triangles ,. Solution of Oblique - angled Triangles , Problems of Application , .... .... TRIGONOMETRY . ANALYTICAL ... Analytical Trigonometry Defined , Definitions and General Principles , .. Rules for Signs of the ...
... Right - angled Triangles ,. Solution of Oblique - angled Triangles , Problems of Application , .... .... TRIGONOMETRY . ANALYTICAL ... Analytical Trigonometry Defined , Definitions and General Principles , .. Rules for Signs of the ...
Page 7
... Right - angled Triangles , 74-76 .... Napier's Circular Parts , 77 Solution of Right - angled Spherical Triangles ... Triangle , ..... Formula for the Sine of Half an Angle ,. Area of a Trapezoid , Area of a Quadrilateral , Area of a ...
... Right - angled Triangles , 74-76 .... Napier's Circular Parts , 77 Solution of Right - angled Spherical Triangles ... Triangle , ..... Formula for the Sine 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
... 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 . 2. 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 . 2. 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 . A 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 . A Let the right - angled tri- angles ABC and DEF have ...
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Common terms and phrases
ABĀ² ABCD altitude apothem Applying logarithms centre chord circle circumference cone consequently convex surface cosec Cosine Cotang cylinder demonstrated in Book denote diameter distance divided draw edges Equation feet find the area Find the logarithmic following RULE frustum given angle greater hence homologous hypothenuse included angle inscribed intersection less Let ABC linear units log cot log sin lower base lune mantissa multiplied number of sides opposite parallel parallelogram parallelopipedon perpendicular plane MN polar triangle polyedral angle polyedron principle demonstrated prism proportional PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right angles right-angled triangle Scholium segment similar six right slant height solution sphere spherical angle spherical excess spherical polygon spherical triangle square straight line subtracting Tang tangent THEOREM triangle ABC triangular prism upper base vertex volume whence write the following