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 , BOOK V. Regular Polygons - Measurement of the Circle , PAGE . 9 13 20 50 50 82 8889 59 93 129 136 BOOK VI . Planes , and Polyedral Angles , 157 BOOK VII . Polyedrons ,. 178 ...
... Measurement of Areas , Problems relating to the Fourth Book , BOOK V. Regular Polygons - Measurement of the Circle , PAGE . 9 13 20 50 50 82 8889 59 93 129 136 BOOK VI . Planes , and Polyedral Angles , 157 BOOK VII . Polyedrons ,. 178 ...
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
... one point to another is 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 . 1. A straight line 2 . A straight line 3. 18 GEOMETRY .
... one point to another is 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 . 1. A straight line 2 . A straight line 3. 18 GEOMETRY .
Page 26
... measured on any broken line AB , BC , A4 C 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 , A4 C 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 ...
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Common terms and phrases
ABē ACē adjacent angles altitude angle ACB apothem Applying logarithms base and altitude bisect centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec Cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given straight line greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin 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 polygons right angles right-angled triangle Scholium secant segment semi-circumference side BC similar sine six right slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence