Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Adapted to the Course of Mathematical Instruction in the United States |
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Page v
... Measurement of Areas , Problems relating to the Fourth Book , Exercises . BOOK V. Regular Polygons - Measurement of the Circle , Exercises , BOOK VI . Planes , and Polyedral Angles , Exercises , Polyedrons ,. Exercises , 61 84 95 97 29 ...
... Measurement of Areas , Problems relating to the Fourth Book , Exercises . BOOK V. Regular Polygons - Measurement of the Circle , Exercises , BOOK VI . Planes , and Polyedral Angles , Exercises , Polyedrons ,. Exercises , 61 84 95 97 29 ...
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 a stand- ard . The assumed standard is called the unit of measure . 2. In GEOMETRY , there are four species of ...
... measured . To measure a thing , is to find out how many times it contains some other thing , of the same kind , taken as a stand- ard . The assumed standard is called the unit of measure . 2. In GEOMETRY , there are four species of ...
Page 13
... measurements of the Geo- metrical Magnitudes . 2. A POINT is that which has position , but not magni- tude . 3. A LINE is that which has length , but neither breadth nor thickness . Lines are divided into two classes , straight and ...
... measurements of the Geo- metrical Magnitudes . 2. A POINT is that which has position , but not magni- tude . 3. A LINE is that which has length , but neither breadth nor thickness . Lines are divided into two classes , straight and ...
Page 18
... measured on the straight line which joins them . 13. Through the same point , only one straight line can be drawn parallel to a given straight line . POSTULATES . 1. A straight line can be drawn joining 18 GEOMETRY . Definitions,
... measured on the straight line which joins them . 13. Through the same point , only one straight line can be drawn parallel to a given straight line . POSTULATES . 1. A straight line can be drawn joining 18 GEOMETRY . Definitions,
Page 26
... measured on any broken line AB , BC , is greater than C B 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 , is greater than C B 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 ...
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Common terms and phrases
ABē ABCD ACē adjacent angles altitude angles is equal apothem base and altitude bisects centre chord circle circumference circumscribed cone consequently convex surface corresponding Cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant equilateral feet find the area formula frustum given angle given line given point greater hence homologous hypothenuse included angle interior angles intersection less Let ABC logarithm lower base mantissa mean proportional measured by half number of sides parallel parallelogram parallelopipedon perimeter perpendicular plane angles plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right angles right-angled triangle Scholium secant segment side BC similar sine slant height solution sphere spherical angle spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence