Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Revised and Adapted to the Course of Mathematical Instruction in the United StatesA.S. Barnes & Company, 1854 - 432 páginas |
Dentro del libro
Resultados 1-5 de 94
Página iv
... circle as the limit of the inscribed and circumscribed polygons , the demonstrations in Book V. have been much simplified ; and the same principle is made the basis of several im- portant demonstrations in Book VIII . The subjects of ...
... circle as the limit of the inscribed and circumscribed polygons , the demonstrations in Book V. have been much simplified ; and the same principle is made the basis of several im- portant demonstrations in Book VIII . The subjects of ...
Página v
... Circle , and the Measurement of Angles , ......... . Problems relating to the First and Third Books , - BOOK IV . Proportions of Figures - Measurement of Areas , Problems relating to the Fourth Book ,. BOOK V. Regular Polygons ...
... Circle , and the Measurement of Angles , ......... . Problems relating to the First and Third Books , - BOOK IV . Proportions of Figures - Measurement of Areas , Problems relating to the Fourth Book ,. BOOK V. Regular Polygons ...
Página vii
... Circle , .. 354 To find the Length of an Arc ,. 355 Area of a Circle , ... 356 Area of a Sector of a Circle , - 356 Area of a Segment of a Circle , - Area of a Circular Ring , .. 356 357 MENSURATION OF SOLIDS . PAGE . Mensuration of ...
... Circle , .. 354 To find the Length of an Arc ,. 355 Area of a Circle , ... 356 Area of a Sector of a Circle , - 356 Area of a Segment of a Circle , - Area of a Circular Ring , .. 356 357 MENSURATION OF SOLIDS . PAGE . Mensuration of ...
Página 56
... represented by △ , m1 × A , m3 × A , m3 × A , m1 × A , & c .: Now , the ratio of the first to any one of the following terms exactly corresponds with the enunciation . { BOOK III . THE CIRCLE , AND THE MEASUREMENT 56 GEOMETRY .
... represented by △ , m1 × A , m3 × A , m3 × A , m1 × A , & c .: Now , the ratio of the first to any one of the following terms exactly corresponds with the enunciation . { BOOK III . THE CIRCLE , AND THE MEASUREMENT 56 GEOMETRY .
Página 57
... CIRCLE , AND THE MEASUREMENT OF ANGLES . DEFINITIONS . 1. The CIRCUMFERENCE OF A CIRCLE is a curve line , all the points of which are equally distant from a point within , called the centre . The circle is the portion of the plane ...
... CIRCLE , AND THE MEASUREMENT OF ANGLES . DEFINITIONS . 1. The CIRCUMFERENCE OF A CIRCLE is a curve line , all the points of which are equally distant from a point within , called the centre . The circle is the portion of the plane ...
Otras ediciones - Ver todas
Términos y frases comunes
adjacent angles altitude angle ACB angle BAD base ABCD bisect centre chord circ circumference circumscribed common comp cone consequently convex surface cosine Cotang cylinder diagonal diameter distance divided draw drawn edges equations equivalent feet figure find the area frustum given angle given line given point gles greater hence homologous homologous sides hypothenuse included angle inscribed circle intersect less Let ABC let fall logarithm magnitudes measured by half middle point number of sides oblique lines opposite parallelogram parallelopipedon pendicular perimeter perpendicular plane MN polyedral angle polyedron PROBLEM PROPOSITION pyramid quadrant radii radius ratio rectangle regular polygon right angles right-angled triangle Scholium secant segment side BC similar sine slant height solidity sphere spherical polygon spherical triangle square described straight line Tang tangent THEOREM triangle ABC triangular prism triedral angles vertex vertices
Pasajes populares
Página 27 - If two triangles have two sides of the one equal to two sides of the...
Página 227 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
Página 256 - The logarithm of . the quotient of two numbers, is equal to the logarithm of the dividend diminished by the logarithm of the divisor.
Página 97 - The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.
Página 26 - The sum of any two sides of a triangle is greater than the third side.
Página 271 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Página 93 - The area of a parallelogram is equal to the product of its base and altitude.
Página 358 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
Página 323 - A'B'C', and applying the law of cosines, we have cos a' = cos b' cos c' + sin b' sin c' cos A'. Remembering the relations a' = 180° -A, b' = 180° - B, etc. (this expression becomes cos A = — cos B cos C + sin B sin C cos a.
Página 64 - Two equal chords are equally distant from the centre ; and of two unequal chords, the less is at the greater distance from the centre.