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 ii
... less time to give the subject . Davies ' Legendre's Geometry . - Acknowledged the only satisfactory treatise of its grade . 300,000 copies have been sold . Davies ' Analytical Geometry and Calculus . - The shorter treatises , combined ...
... less time to give the subject . Davies ' Legendre's Geometry . - Acknowledged the only satisfactory treatise of its grade . 300,000 copies have been sold . Davies ' Analytical Geometry and Calculus . - The shorter treatises , combined ...
Page 11
... less than the cube root of B. The opening of the sigu is towards the greater quantity . The sign , 18 used as an abbreviation of the word hence , or consequently . The symbols , 1o , 2o , etc. , mean , 1st , 2d , etc. deduced by a 5 ...
... less than the cube root of B. The opening of the sigu is towards the greater quantity . The sign , 18 used as an abbreviation of the word hence , or consequently . The symbols , 1o , 2o , etc. , mean , 1st , 2d , etc. deduced by a 5 ...
Page 14
... as to make the adjacent angles unequal . B Oblique angles are subdivided into two classes , acute angles , and obtuse angles . 14. An ACUTE ANGLE is less than a right angle 15. An OBTUSE ANGLE is greater than a right angle 14 GEOMETRY .
... as to make the adjacent angles unequal . B Oblique angles are subdivided into two classes , acute angles , and obtuse angles . 14. An ACUTE ANGLE is less than a right angle 15. An OBTUSE ANGLE is greater than a right angle 14 GEOMETRY .
Page 19
... less may be laid off on the greater . 4. A straight line may be bisected ; that is , divided into two equal parts . 5. An angle may be bisected . 6. A perpendicular may be drawn to a given straight line , either from a point without ...
... less may be laid off on the greater . 4. A straight line may be bisected ; that is , divided into two equal parts . 5. An angle may be bisected . 6. A perpendicular may be drawn to a given straight line , either from a point without ...
Page 26
... AB ; - as BC , for that is , the difference between any two sides of a triangle is less than the third side . Scholium . In order that any three given lines may re- present the sides of a triangle , the sum of 26 GEOMETRY .
... AB ; - as BC , for that is , the difference between any two sides of a triangle is less than the third side . Scholium . In order that any three given lines may re- present the sides of a triangle , the sum of 26 GEOMETRY .
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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