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 47
Page 76
... example , that this unit is contained 7 times in the angle ACB , and 4 times in the angle DOE . Then , suppose ACB be divided into 7 angles , by the radii Cm , Cn , Cp , & c . ; and DOE into 4 angles , by the radii Ox , Oy , and Oz ...
... example , that this unit is contained 7 times in the angle ACB , and 4 times in the angle DOE . Then , suppose ACB be divided into 7 angles , by the radii Cm , Cn , Cp , & c . ; and DOE into 4 angles , by the radii Ox , Oy , and Oz ...
Page 204
... example , that AE is to Al , as 15 is to 8 . Conceive AE to be divided into 15 equal parts , of which Al contains 8 ; through the points of division let planes be passed parallel to ABCD . These planes divide the parallelopipedon AG ...
... example , that AE is to Al , as 15 is to 8 . Conceive AE to be divided into 15 equal parts , of which Al contains 8 ; through the points of division let planes be passed parallel to ABCD . These planes divide the parallelopipedon AG ...
Page 222
... example is a frustum . [ Find the radii of the inscribed circles of the upper and lower bases ( B. IV . , P. VI . , C. 2 ) ; then the altitude of the pyramid , slant height , and the two radii form two similar triangles from which the ...
... example is a frustum . [ Find the radii of the inscribed circles of the upper and lower bases ( B. IV . , P. VI . , C. 2 ) ; then the altitude of the pyramid , slant height , and the two radii form two similar triangles from which the ...
Page 248
... example is a frustum . 7. A small circle , the radius of which is 4 feet , is 3 feet from the centre of a sphere ; find the circumference of a great circle of the same sphere . 8. The radius of a sphere is 10 feet ; find the area of a ...
... example is a frustum . 7. A small circle , the radius of which is 4 feet , is 3 feet from the centre of a sphere ; find the circumference of a great circle of the same sphere . 8. The radius of a sphere is 10 feet ; find the area of a ...
Page 268
... example , let them be to each other as 5 is to 48. Di- vide the circumference MNPQ into 48 equal parts , beginning at M ; MN will contain five of these parts . Join each point of division with the points A and M O B B , by a quadrant ...
... example , let them be to each other as 5 is to 48. Di- vide the circumference MNPQ into 48 equal parts , beginning at M ; MN will contain five of these parts . Join each point of division with the points A and M O B B , by a quadrant ...
Other editions - View all
Common terms and phrases
ABē ABCD ACē 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