Elements of Geometry and Trigonometry |
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Page 4
... solutions to so many difficult problems : hence , a Key has been made for the use of Teachers , in which the best methods of construction and solution are fully given . FISHKILL - ON - HUDSON , June , 1875 . CHARLES DAVIES ...
... solutions to so many difficult problems : hence , a Key has been made for the use of Teachers , in which the best methods of construction and solution are fully given . FISHKILL - ON - HUDSON , June , 1875 . CHARLES DAVIES ...
Page 6
... Solution of Right - angled Triangles , ... Solution of Oblique - angled Triangles , Problems of Application , ANALYTICAL TRIGONOMETRY . Analytical Trigonometry Defined , Definitions and General Principles , .. Rules for Signs of the ...
... Solution of Right - angled Triangles , ... Solution of Oblique - angled Triangles , Problems of Application , ANALYTICAL TRIGONOMETRY . Analytical Trigonometry Defined , Definitions and General Principles , .. Rules for Signs of the ...
Page 7
... Solution of Right - angled Spherical Triangles , Quadrantal Triangles , Formulas for Oblique - angled Triangles , .. Solution of Oblique - angled Triangles , MENSURATION . PAGE 55 57-59 60-62 63 64-60 67 68-70 71 73 73 74-76 77 80-83 84 ...
... Solution of Right - angled Spherical Triangles , Quadrantal Triangles , Formulas for Oblique - angled Triangles , .. Solution of Oblique - angled Triangles , MENSURATION . PAGE 55 57-59 60-62 63 64-60 67 68-70 71 73 73 74-76 77 80-83 84 ...
Page 11
... 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 obvious consequence of ono more ...
... 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 obvious consequence of ono more ...
Page 88
... solution . When the side opposite the given angle is shorter than the distance from E to DG , there will be no solution . PROBLEM XII . Given , two adjacent sides of a parallelogram and their included angle , to construct the ...
... solution . When the side opposite the given angle is shorter than the distance from E to DG , there will be no solution . PROBLEM XII . Given , two adjacent sides of a parallelogram and their included angle , to construct the ...
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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