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 10
... square root of A , and the cube root of B , are to be taken . When a compound quantity is to be operated upon as a single quantity , its parts are connected by a vinculum or by a parenthesis : - indi- Thus , A + B x C , indicates that ...
... square root of A , and the cube root of B , are to be taken . When a compound quantity is to be operated upon as a single quantity , its parts are connected by a vinculum or by a parenthesis : - indi- Thus , A + B x C , indicates that ...
Page 11
... square root of A is less than the cube root of B. The opening of the sign is towards the greater quantity . The sign , ... is used as an abbreviation of the word hence , or consequently . The symbols , 1o , 2o , etc. , mean 1st , 2d ...
... square root of A is less than the cube root of B. The opening of the sign is towards the greater quantity . The sign , ... is used as an abbreviation of the word hence , or consequently . The symbols , 1o , 2o , etc. , mean 1st , 2d ...
Page 17
... all right angles . A SQUARE is an equilateral rectangle . 2d . A RHOMBOID is a parallelogram whose angles are all oblique . A RHOMBUS is an equilateral rhomboid . 29. SPACE is indefinite extension . 30. A VOLUME is 2 BOOK I. 17.
... all right angles . A SQUARE is an equilateral rectangle . 2d . A RHOMBOID is a parallelogram whose angles are all oblique . A RHOMBUS is an equilateral rhomboid . 29. SPACE is indefinite extension . 30. A VOLUME is 2 BOOK I. 17.
Page 50
... an angle of an equi- angular decagon ? 11. How many sides has a polygon in which the sum of the interior angles is equal to the sum of the exterior angles ? 12. Construct a square , having given one of its 50 GEOMETRY . Exercises,
... an angle of an equi- angular decagon ? 11. How many sides has a polygon in which the sum of the interior angles is equal to the sum of the exterior angles ? 12. Construct a square , having given one of its 50 GEOMETRY . Exercises,
Page 51
... square , having given one of its diag- onals . NOTE 1. - The complement of an angle is the difference between that angle and a right angle ; thus , EOB is the complement of AOE . NOTE 2. - The supplement of an angle is the difference ...
... square , having given one of its diag- onals . NOTE 1. - The complement of an angle is the difference between that angle and a right angle ; thus , EOB is the complement of AOE . NOTE 2. - The supplement of an angle is the difference ...
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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