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 80
Page 11
... less than the cube root of B. The opening of the sign is towards the greater quantity . The sign , .. is used as an abbreviation of the word hence , or consequently . 5. The general truths of Geometry are deduced by a course of logical ...
... less than the cube root of B. The opening of the sign is towards the greater quantity . The sign , .. is used as an abbreviation of the word hence , or consequently . 5. The general truths of Geometry are deduced by a course of logical ...
Page 14
... as to make the adjacent angles unequal . B D Oblique angles are subdivided into two classes , acute ngles , 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 D Oblique angles are subdivided into two classes , acute ngles , 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 18
... drawn between any two points . 2. A straight line may be prolonged to any length . 3. If two lines are unequal , the length of the less may be laid off on the greater 43 4. A line may be bisected ; that is 18 GEOMETRY .
... drawn between any two points . 2. A straight line may be prolonged to any length . 3. If two lines are unequal , the length of the less may be laid off on the greater 43 4. A line may be bisected ; that is 18 GEOMETRY .
Page 26
... , AC BC < AB ; - 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 .
... , AC BC < AB ; - 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 .
Page 27
... less than the third . PROPOSITION VIII . THEOREM . If from any point within a triangle two straight lines be drawn to the extremities of any side , their sum will be less than that of the two remaining sides of the triangle . A Let be ...
... less than the third . PROPOSITION VIII . THEOREM . If from any point within a triangle two straight lines be drawn to the extremities of any side , their sum will be less than that of the two remaining sides of the triangle . A Let be ...
Other editions - View all
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