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 9
... 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 unit of measure of a quantity is of the same kind ...
... 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 unit of measure of a quantity is of the same kind ...
Page 10
... called plus : Thus , AB , indicates that B is to be added to A. The Sign of Subtraction , " called minus : Thus , AB , indicates that B is to be subtracted from A. The Sign of Multiplication , x : Thuз , Ax B , indicates that indicates ...
... called plus : Thus , AB , indicates that B is to be added to A. The Sign of Subtraction , " called minus : Thus , AB , indicates that B is to be subtracted from A. The Sign of Multiplication , x : Thuз , Ax B , indicates that indicates ...
Page 11
... called an equation . The part on the left of the sign of equality , is called the first member ; that on the right , the second member . The Sign of Inequality , < : Thus , AB , indicates that the square root of A is less than the cube ...
... called an equation . The part on the left of the sign of equality , is called the first member ; that on the right , the second member . The Sign of Inequality , < : Thus , AB , indicates that the square root of A is less than the cube ...
Page 13
... line made up of straight lines , not lying in the same direction , is called a broken line . 7. A SURFACE is that which has length and breadth without thickness . Surfaces are divided into two classes , plane and curved BOOK Definitions,
... line made up of straight lines , not lying in the same direction , is called a broken line . 7. A SURFACE is that which has length and breadth without thickness . Surfaces are divided into two classes , plane and curved BOOK Definitions,
Page 14
... called sides , and their common point A , is called the ver- -B tex . An angle is designated by naming its sides , or some- times by simply naming its vertex ; thus , the above is called the angle BAC , or simply , the angle A. 11. When ...
... called sides , and their common point A , is called the ver- -B tex . An angle is designated by naming its sides , or some- times by simply naming its vertex ; thus , the above is called the angle BAC , or simply , the angle A. 11. When ...
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Common terms and phrases
AB² AC² 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