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 iii
... taken to represent any one of the class to which it belongs . By this arrangement , the difficulty experienced by beginners in comprehending abstract truths , is lessened , without in any manner impairing the gener- ality of the truths ...
... taken to represent any one of the class to which it belongs . By this arrangement , the difficulty experienced by beginners in comprehending abstract truths , is lessened , without in any manner impairing the gener- ality of the truths ...
Page 9
... taken as a stand- ard . The assumed standard is called the unit of measure . 2. In GEOMETRY , there are four species of quantity , viz .: LINES , SURFACES , VOLUMES , and ANGLES . These are called , GEOMETRICAL MAGNITUdes . Since the ...
... taken as a stand- ard . The assumed standard is called the unit of measure . 2. In GEOMETRY , there are four species of quantity , viz .: LINES , SURFACES , VOLUMES , and ANGLES . These are called , GEOMETRICAL MAGNITUdes . Since the ...
Page 10
... taken . " When a compound quantity is to be operated upon as a single quantity , its parts are connected by a ... taken . Thus , 3 ( A + B ) , indicates that the sum of A and I is to be taken three times . The Sign of Equality , = : Thus ...
... taken . " When a compound quantity is to be operated upon as a single quantity , its parts are connected by a ... taken . Thus , 3 ( A + B ) , indicates that the sum of A and I is to be taken three times . The Sign of Equality , = : Thus ...
Page 15
... Two polygons are mutually equilateral , when their sides , taken in the same order , are equal , each to each : that is , following their perimeters in the same direction , the first side of the one is equal to the first side BOOK I. 15.
... Two polygons are mutually equilateral , when their sides , taken in the same order , are equal , each to each : that is , following their perimeters in the same direction , the first side of the one is equal to the first side BOOK I. 15.
Page 16
... taken in the same order , are equal , each to each . 23. A DIAGONAL of a polygon is a straight line joining the vertices of two angles , not consecutive . 24 . A BASE of a polygon is any one of its sides OD which the polygon is supposed ...
... taken in the same order , are equal , each to each . 23. A DIAGONAL of a polygon is a straight line joining the vertices of two angles , not consecutive . 24 . A BASE of a polygon is any one of its sides OD which the polygon is supposed ...
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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