Elements of Geometry and Trigonometry: From the Works of A. M. Legendre |
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Results 1-5 of 17
Page 5
... 93 Problems relating to the Fourth Book , 129 BOOK V. Regular Polygons - Measurement of the Circle , 136 ...... BOOK VI . Planes , and Polyedral Angles , 157 BOOK VII . Polyedrons , ........ 178 BOOK VIII . Cylinder , Cone , and Sphere ,
... 93 Problems relating to the Fourth Book , 129 BOOK V. Regular Polygons - Measurement of the Circle , 136 ...... BOOK VI . Planes , and Polyedral Angles , 157 BOOK VII . Polyedrons , ........ 178 BOOK VIII . Cylinder , Cone , and Sphere ,
Page 6
From the Works of A. M. Legendre Adrien Marie Legendre. BOOK VIII . Cylinder , Cone , and Sphere , ..... Spherica ! Geometry , .. BOOK IX . PAGE . ...... • 210 PLANE TRIGONOMETRY . INTRODUCTION . Definition of Logarithms , .. Rules for ...
From the Works of A. M. Legendre Adrien Marie Legendre. BOOK VIII . Cylinder , Cone , and Sphere , ..... Spherica ! Geometry , .. BOOK IX . PAGE . ...... • 210 PLANE TRIGONOMETRY . INTRODUCTION . Definition of Logarithms , .. Rules for ...
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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Common terms and phrases
AB² ABCD altitude apothem Applying logarithms centre chord circle circumference cone consequently convex surface cosec Cosine Cotang cylinder demonstrated in Book denote diameter distance divided draw edges Equation feet find the area Find the logarithmic following RULE frustum given angle greater hence homologous hypothenuse included angle inscribed intersection less Let ABC linear units log cot log sin lower base lune mantissa multiplied number of sides opposite parallel parallelogram parallelopipedon perpendicular plane MN polar triangle polyedral angle polyedron principle demonstrated prism proportional PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right angles right-angled triangle Scholium segment similar six right slant height solution sphere spherical angle spherical excess spherical polygon spherical triangle square straight line subtracting Tang tangent THEOREM triangle ABC triangular prism upper base vertex volume whence write the following