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
... 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. The general truths of Geometry are course of logical reasoning , 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. The general truths of Geometry are course of logical reasoning , the ...
Page 14
... 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 .
... 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 15
... greater than a right angle . 16. Two straight lines are parallel , when they lie in the same plane and can- not meet , how far soever , either way , both may be produced . They then have the same direction . 17. A PLANE FIGURE is a ...
... greater than a right angle . 16. Two straight lines are parallel , when they lie in the same plane and can- not meet , how far soever , either way , both may be produced . They then have the same direction . 17. A PLANE FIGURE is a ...
Page 18
... greater than any of its parts . 9. The whole is equal to the sum of all its parts . 10. All right angles are equal . 11. Only one straight line can be drawn joining two given points . 12. The shortest distance from one point to another ...
... greater than any of its parts . 9. The whole is equal to the sum of all its parts . 10. All right angles are equal . 11. Only one straight line can be drawn joining two given points . 12. The shortest distance from one point to another ...
Page 19
... 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 , or from a point on the line ...
... 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 , or from a point on the line ...
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Common terms and phrases
AB² AC² 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