Elements of Geometry and Trigonometry |
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Page 6
... Formulas relating to the Sines , Cosines , Tan- gents , & c . 215 Construction and Description of the Tables , 223 Description of Table of Logarithms , - 224 Description of Table of Logarithmic Sines , 228 Principles for the Solution of ...
... Formulas relating to the Sines , Cosines , Tan- gents , & c . 215 Construction and Description of the Tables , 223 Description of Table of Logarithms , - 224 Description of Table of Logarithmic Sines , 228 Principles for the Solution of ...
Page 77
... formula , ( a - 6 ) 2 = a22ab + b2 . PROPOSITION X. THEOREM . The rectangle contained by the sum and the difference of two lines , is equivalent to the difference of the squares of those lines . Let AB , BC , be two lines ; then , will ...
... formula , ( a - 6 ) 2 = a22ab + b2 . PROPOSITION X. THEOREM . The rectangle contained by the sum and the difference of two lines , is equivalent to the difference of the squares of those lines . Let AB , BC , be two lines ; then , will ...
Page 207
... formulas derived from them ; formulas which are of great use in all the branches of mathematics , and which even furnish means of improvement to algebraical analysis . We shall next apply those results to the solution of rectilineal tri ...
... formulas derived from them ; formulas which are of great use in all the branches of mathematics , and which even furnish means of improvement to algebraical analysis . We shall next apply those results to the solution of rectilineal tri ...
Page 211
... formula , it is necessary to consider all lines which are estimated in one di- rection as positive , and those which are estimated in the con- trary direction as negative . If , therefore , the cosines which are estimated from C towards ...
... formula , it is necessary to consider all lines which are estimated in one di- rection as positive , and those which are estimated in the con- trary direction as negative . If , therefore , the cosines which are estimated from C towards ...
Page 212
... formula , B S M T PA N R TT E ver - sin AM - R - cos AM , unless we suppose the cosine AM to become negative as soon as the arc AM becomes greater than a quadrant . At the point B the cosine becomes equal to -R ; that is , -R . cos 180 ...
... formula , B S M T PA N R TT E ver - sin AM - R - cos AM , unless we suppose the cosine AM to become negative as soon as the arc AM becomes greater than a quadrant . At the point B the cosine becomes equal to -R ; that is , -R . cos 180 ...
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Common terms and phrases
adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book centre chord circ circumference circumscribed common cone consequently convex surface cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equation equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE prism proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant secant line segment side BC similar solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex