Elements of Geometry and Trigonometry |
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Page v
... Problems relating to the Fourth Book , BOOK V. Regular Polygons - Measurement of the Circle ,. 59 82 888 93 129 136 BOOK VI . Planes , and Polyedral Angles , 157 BOOK VII . Polyedrons , 178 BOOK VIII . Cylinder , Cone , and Sphere ,
... Problems relating to the Fourth Book , BOOK V. Regular Polygons - Measurement of the Circle ,. 59 82 888 93 129 136 BOOK VI . Planes , and Polyedral Angles , 157 BOOK VII . Polyedrons , 178 BOOK VIII . Cylinder , Cone , and Sphere ,
Page vi
Adrien Marie Legendre Charles Davies. BOOK VIII . Cylinder , Cone , and Sphere , • Spherical Geometry , .. BOOK IX . PLANE TRIGONOMETRY . INTRODUCTION . Definition of Logarithms ,. Rules for Characteristics , General Principles , Table ...
Adrien Marie Legendre Charles Davies. BOOK VIII . Cylinder , Cone , and Sphere , • Spherical Geometry , .. BOOK IX . PLANE TRIGONOMETRY . INTRODUCTION . Definition of Logarithms ,. Rules for Characteristics , General Principles , Table ...
Page 209
... polyedral angle . Furthermore , no other regular polygons can be grouped so as to form a salient polyedral angle ; therefore , Only five regular polyedrons can be formed . 14 BOOK VIII . THE CYLINDER , THE CONE , AND BOOK VII . 209.
... polyedral angle . Furthermore , no other regular polygons can be grouped so as to form a salient polyedral angle ; therefore , Only five regular polyedrons can be formed . 14 BOOK VIII . THE CYLINDER , THE CONE , AND BOOK VII . 209.
Page 210
... cylinder FGCQ - P . The fixed line AB is called the axis of the cylinder ; the curved surface generated by the side CD , opposite the axis , is called the convex surface of the cylinder ; the equal circles FGCQ , and EHDP , generated by ...
... cylinder FGCQ - P . The fixed line AB is called the axis of the cylinder ; the curved surface generated by the side CD , opposite the axis , is called the convex surface of the cylinder ; the equal circles FGCQ , and EHDP , generated by ...
Page 211
... cylinder , when its bases are in- scribed in the bases of the cylinder . In this case , the cylinder is said to be circumscribed about the prism . The lateral edges of the inscribed prism are elements of the surface of the circumscribing ...
... cylinder , when its bases are in- scribed in the bases of the cylinder . In this case , the cylinder is said to be circumscribed about the prism . The lateral edges of the inscribed prism are elements of the surface of the circumscribing ...
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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
AB² ABCD AC² 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...