Elements of Geometry and Trigonometry |
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Page 4
... Problems of Geometrical con- struction , and many applications of Algebra to Geometry . It would be unjust to those giving instruction , to add to their daily labors , the additional one , of finding appropriate solutions to so many ...
... Problems of Geometrical con- struction , and many applications of Algebra to Geometry . It would be unjust to those giving instruction , to add to their daily labors , the additional one , of finding appropriate solutions to so many ...
Page 5
... Problems relating to the Fourth Book , 129 688 93 BOOK V. Regular Polygons - Measurement of the Circle , 136 BOOK vi . Planes , and Polyedral Angles , 157 Polyedrona ,. BOOK VII . 178 Cylinder , Cone , and Sphere , Spherical Geometry ,.
... Problems relating to the Fourth Book , 129 688 93 BOOK V. Regular Polygons - Measurement of the Circle , 136 BOOK vi . Planes , and Polyedral Angles , 157 Polyedrona ,. BOOK VII . 178 Cylinder , Cone , and Sphere , Spherical Geometry ,.
Page 6
... Problems of Application , ANALYTICAL TRIGONOMETRY . Analytical Trigonometry Defined , Definitions and General Principles , .. Rules for Signs of the Functions ,. 3 4 7 8 11 12 13 15 16 17 18.22 22 22 23-27 27-35 36-17 18 61 51-54 51 ...
... Problems of Application , ANALYTICAL TRIGONOMETRY . Analytical Trigonometry Defined , Definitions and General Principles , .. Rules for Signs of the Functions ,. 3 4 7 8 11 12 13 15 16 17 18.22 22 22 23-27 27-35 36-17 18 61 51-54 51 ...
Page 11
... PROBLEM is a question requiring a solution . 9. A POSTULATE is a self - evident Problem . Theorems , Axioms , Problems , and Postulates , are all called Propositions . 10. A LEMMA is an auxiliary proposition . 11 , A COROLLARY is an ...
... PROBLEM is a question requiring a solution . 9. A POSTULATE is a self - evident Problem . Theorems , Axioms , Problems , and Postulates , are all called Propositions . 10. A LEMMA is an auxiliary proposition . 11 , A COROLLARY is an ...
Page 19
... Problem ; Post . for Postu- late ; and S. for Scholium . In referring to the same Book the number of the Book is not given ; in referring to any other Bock , the number of the Book is given . PROPOSITION I. THEOREM . If a straight line ...
... Problem ; Post . for Postu- late ; and S. for Scholium . In referring to the same Book the number of the Book is not given ; in referring to any other Bock , the number of the Book is given . PROPOSITION I. THEOREM . If a straight line ...
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Common terms and phrases
ABCD 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 line given point greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin logarithm lower base mantissa mean proportional measured by half middle point number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROBLEM PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment side BC similar sine slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence