Elements of Geometry and Trigonometry: From the Works of A. M. Legendre |
From inside the book
Results 1-5 of 79
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 . D B Oblique angles are subdivided into two classes , acute angles , and obtuse angles . 14. An ACUTE ANGLE is less than a right angle Kollin 15. An OBTUSE ANGLE is greater than a right 14 GEOMETRY .
... as to make the adjacent angles unequal . D B Oblique angles are subdivided into two classes , acute angles , and obtuse angles . 14. An ACUTE ANGLE is less than a right angle Kollin 15. An OBTUSE ANGLE is greater than a right 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 . 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 . 4. A line may be bisected ; that is , 18 GEOMETRY .
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 .
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
ABē ABCD altitude apothem Applying logarithms centre chord circle circumference cone consequently convex surface cosec Cosine Cotang cylinder demonstrated in Book denote diameter distance divided draw edges Equation feet find the area Find the logarithmic following RULE frustum given angle greater hence homologous hypothenuse included angle inscribed intersection less Let ABC linear units log cot log sin lower base lune mantissa multiplied number of sides opposite parallel parallelogram parallelopipedon perpendicular plane MN polar triangle polyedral angle polyedron principle demonstrated prism proportional PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right angles right-angled triangle Scholium segment similar six right slant height solution sphere spherical angle spherical excess spherical polygon spherical triangle square straight line subtracting Tang tangent THEOREM triangle ABC triangular prism upper base vertex volume whence write the following