Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Adapted to the Course of Mathematical Instruction in the United States |
From inside the book
Results 1-5 of 36
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 . 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 . 21. A RHOMBOID is a parallelogram whose angles are all ...
... 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 . 21. A RHOMBOID is a parallelogram whose angles are all ...
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 ...
Other editions - View all
Common terms and phrases
AB² AC² adjacent angles altitude angle ACB apothem Applying logarithms base and altitude bisect centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec Cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given straight line greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin lower base mantissa mean proportional measured by half number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment semi-circumference side BC similar sine six right slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence