Elements of Geometry and Trigonometry |
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Page v
... 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 - Measurement of the Circle ,. 59 82 ...
... 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 - Measurement of the Circle ,. 59 82 ...
Page 9
... measured . To measure a thing is to find out how many times it contains some other thing of the same kind , taken as 8 standard . The assumed standard is called the unit of mea sure . 2. Since the unit of measure is of the same kind as ...
... measured . To measure a thing is to find out how many times it contains some other thing of the same kind , taken as 8 standard . The assumed standard is called the unit of mea sure . 2. Since the unit of measure is of the same kind as ...
Page 26
... measured on any broken line AB , BC , A B is greater than the distance measured on the straight line AC ( A. 12 ) : hence , the sum of AB and BC is greater than AC ; which was to be proved . Cor . If from both members of the inequality ...
... measured on any broken line AB , BC , A B is greater than the distance measured on the straight line AC ( A. 12 ) : hence , the sum of AB and BC is greater than AC ; which was to be proved . Cor . If from both members of the inequality ...
Page 58
... be extended to three or more proportions , and the corresponding terms of each be supposed equal , it will follow that , like powers of proportional quantities are proportionals . BOOK III . THE CIRCLE , AND THE MEASUREMENT OF 58 GEOMETRY .
... be extended to three or more proportions , and the corresponding terms of each be supposed equal , it will follow that , like powers of proportional quantities are proportionals . BOOK III . THE CIRCLE , AND THE MEASUREMENT OF 58 GEOMETRY .
Page 59
Adrien Marie Legendre Charles Davies. BOOK III . THE CIRCLE , AND THE MEASUREMENT OF ANGLES . DEFINITIONS . 1. A CIRCLE is a plane plane figure , bounded by a curved , line , every point of which is equally ... Measurement of Angles, 59 888.
Adrien Marie Legendre Charles Davies. BOOK III . THE CIRCLE , AND THE MEASUREMENT OF ANGLES . DEFINITIONS . 1. A CIRCLE is a plane plane figure , bounded by a curved , line , every point of which is equally ... Measurement of Angles, 59 888.
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Elements of Geometry and Trigonometry: From the Works of A. M. Legendre Adrien Marie Legendre,Charles Davies No preview available - 2016 |
Common terms and phrases
ABē ABCD ACē adjacent angles altitude angle ACB apothem Applying logarithms base and altitude centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec Cosine Cotang cylinder denote diameter distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given line greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin logarithm 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 polygon right-angled triangle Scholium secant segment semi-circumference side BC similar Sine slant height sphere spherical angle spherical polygon spherical triangle square straight line Tang tangent THEOREM triangle ABC triangular prisms upper base vertex vertices whence
Popular passages
Page 28 - If two triangles have two sides of the one equal to two sides of the...
Page 100 - The area of a triangle is equal to half the product of its base by its altitude.
Page 99 - The area of a parallelogram is equal to the product of its base and its height: A = bx h.
Page 59 - A chord is a straight line joining the extremities of an arc.
Page 124 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Page 214 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Page 43 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Page 52 - If the product of two quantities is equal to the product of two other quantities, two of them may be made the extremes, and the other two the means of a proportion.
Page 123 - Similar triangles are to each other as the squares of their homologous sides.
Page 182 - The upper end of the frustum of a pyramid or cone is called the upper base...