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 39
Page 26
... example , there will remain ( A. 5 ) , AC BC < AB ; - as BC , for that is , the difference between any two sides of a triangle is less than the third side . Scholium . In order that any three given lines may re- present the sides of a ...
... example , there will remain ( A. 5 ) , AC BC < AB ; - as BC , for that is , the difference between any two sides of a triangle is less than the third side . Scholium . In order that any three given lines may re- present the sides of a ...
Page 74
... example , that this unit is contained 7 times ACB , and 4 times in the angle DOE ACB be divided into 7 angles , by the radii in the angle Then , suppose Cm , Cn , Cp , & c .; and DOE into 4 angles , by the radii Ox , Oy , and Oz , each ...
... example , that this unit is contained 7 times ACB , and 4 times in the angle DOE ACB be divided into 7 angles , by the radii in the angle Then , suppose Cm , Cn , Cp , & c .; and DOE into 4 angles , by the radii Ox , Oy , and Oz , each ...
Page 193
... example , that AE is to AI , as 15 is to 8 . Conceive AE to be which AI will contain 8 ; let planes be passed parallel to ABCD . divided into 15 equal parts , of through the points of division These planes will equal altitudes ; divide ...
... example , that AE is to AI , as 15 is to 8 . Conceive AE to be which AI will contain 8 ; let planes be passed parallel to ABCD . divided into 15 equal parts , of through the points of division These planes will equal altitudes ; divide ...
Page
... EXAMPLE . 1. To find the logarithm of 672887 . The characteristic is 5. Placing a decimal point after the fourth figure , the number becomes 6728.87 . The mantissa of the logarithm of 6728 is 827886 , and the corresponding number in the ...
... EXAMPLE . 1. To find the logarithm of 672887 . The characteristic is 5. Placing a decimal point after the fourth figure , the number becomes 6728.87 . The mantissa of the logarithm of 6728 is 827886 , and the corresponding number in the ...
Page
... the result will be a pure decimal , and the number of O's which im- mediately follow the decimal point will be one less than the number of units in the characteristic . EXAMPLES . 1. Let it be required to find the 10 INTRODUCTION .
... the result will be a pure decimal , and the number of O's which im- mediately follow the decimal point will be one less than the number of units in the characteristic . EXAMPLES . 1. Let it be required to find the 10 INTRODUCTION .
Other editions - View all
Common terms and phrases
ABē ACē 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