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 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 . The symbols , 1o , 2o , etc. , mean 1st , 2d , etc. 5. The general ...
... 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 . The symbols , 1o , 2o , etc. , mean 1st , 2d , etc. 5. The general ...
Page 14
... so as to make the adjacent angles unequal . 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 .
... so as to make the adjacent angles unequal . 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
... 5 ) , ACBC 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 rep- resent the sides of a triangle , the sum of 26 GEOMETRY .
... 5 ) , ACBC 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 rep- resent 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 are drawn to the extremities of any side , their , sum is less than that of the two remaining sides of the triangle . Let O be any ...
... less than the third . PROPOSITION VIII . THEOREM . if from any point within a triangle two straight lines are drawn to the extremities of any side , their , sum is less than that of the two remaining sides of the triangle . Let O be any ...
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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