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. Since the unit of measure is of the same kind as the thing measured , there are as many kinds of units as there are species of quantity . In Geometry , there are four species of quantity , called ...
... called the unit of measure . 2. Since the unit of measure is of the same kind as the thing measured , there are as many kinds of units as there are species of quantity . In Geometry , there are four species of quantity , called ...
Page 10
... called plus : Thus , A + B , indicates that B is to be added to A. The Sign of Subtraction , - called minus : Thus , AB , indicates that B is to is to be subtracted from A. The Sign of Multiplication , x : Thus , Ax B , indicates that A ...
... called plus : Thus , A + B , indicates that B is to be added to A. The Sign of Subtraction , - called minus : Thus , AB , indicates that B is to is to be subtracted from A. The Sign of Multiplication , x : Thus , Ax B , indicates that A ...
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 , A < / B , indicates that the square root of A is less than the ...
... 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 , A < / B , indicates that the square root of A is less than the ...
Page 13
... lines , not lying in the sam 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 ANTRODUCTION, BOOK L Definitions,
... lines , not lying in the sam 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 ANTRODUCTION, BOOK L 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 altitude angle ACB apothem axis base and altitude base multiplied BC² bisect centre chord circumference coincide cone consequently convex surface corresponding cosec cosine Cotang cylinder denote diameter distance divided draw drawn edges equal bases equal in volume equal to AC equal to half equally distant Formula frustum given angle given line greater hence homologous hypothenuse included angle intersection less Let ABC logarithm lower base mantissa mean proportional measured by half number of sides opposite parallelogram perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION XI proved pyramid quadrant radii radius rectangle regular polygons right-angled triangle Scholium segment semi-circumference side BC similar sine slant height sphere spherical angle spherical excess spherical polygon spherical triangle straight line tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence