Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Adapted to the Course of Mathematical Instruction in the United States |
From inside the book
Results 1-5 of 48
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 as ...
... 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 as ...
Page 10
... called plus : Thus , AB , indicates that B is to be added to A. The Sign of Subtraction , Thus , A A - B , from A. - called minus : indicates that B is to be subtracted The Sign of Multiplication , x : Thus , by B. A x B , indicates ...
... called plus : Thus , AB , indicates that B is to be added to A. The Sign of Subtraction , Thus , A A - B , from A. - called minus : indicates that B is to be subtracted The Sign of Multiplication , x : Thus , by B. A x B , 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 , √Ā < VB , 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 , √Ā < VB , indicates that the square root of A is less than the ...
Page 13
... line . 6. A 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.
... line . 6. A 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.
Page 14
... called sides , and their com- mon point A , is called the vertex . An angle is designated by naming its sides , or sometimes by simply naming its vertex ; thus , the above is called the angle BAC , or simply , the angle A. 11. When one ...
... called sides , and their com- mon point A , is called the vertex . An angle is designated by naming its sides , or sometimes by simply naming its vertex ; thus , the above is called the angle BAC , or simply , the angle A. 11. When one ...
Other editions - View all
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