Elements of Geometry and Trigonometry: From the Works of A. M. Legendre |
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Page 6
... Solution of Right - angled Triangles ,. Solution of Oblique - angled Triangles , Problems of Application , .... .... TRIGONOMETRY . ANALYTICAL ... Analytical Trigonometry Defined , Definitions and General Principles , .. Rules for Signs ...
... Solution of Right - angled Triangles ,. Solution of Oblique - angled Triangles , Problems of Application , .... .... TRIGONOMETRY . ANALYTICAL ... Analytical Trigonometry Defined , Definitions and General Principles , .. Rules for Signs ...
Page 7
... Solution of Right - angled Spherical Triangles , 80-83 Quadrantal Triangles , 84 Formulas for Oblique - angled Triangles ,. Solution of Oblique - angled Triangles , 85-92 92-104 MENSURATION . Mensuration Defined , The Area of a ...
... Solution of Right - angled Spherical Triangles , 80-83 Quadrantal Triangles , 84 Formulas for Oblique - angled Triangles ,. Solution of Oblique - angled Triangles , 85-92 92-104 MENSURATION . Mensuration Defined , The Area of a ...
Page 11
... solution . 9. A POSTULATE is a problem whose solution is self- evident . Theorems , Axioms , Problems , and Postulates , are all called Propositions . 10. A LEMMA is an auxiliary proposition . 11. A COROLLARY is an obvious consequence ...
... solution . 9. A POSTULATE is a problem whose solution is self- evident . Theorems , Axioms , Problems , and Postulates , are all called Propositions . 10. A LEMMA is an auxiliary proposition . 11. A COROLLARY is an obvious consequence ...
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 ...
Page 90
... solutions . For , the angles ABC and ADC are right angles ( P. XVIII . , C. 2 ) : hence , each of the lines AB , and AD is perpendicular to a radius at its extremity ; and consequently , they are tangent to the given circle ( P. IX ...
... solutions . For , the angles ABC and ADC are right angles ( P. XVIII . , C. 2 ) : hence , each of the lines AB , and AD is perpendicular to a radius at its extremity ; and consequently , they are tangent to the given circle ( P. IX ...
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Common terms and phrases
ABĀ² 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