A Treatise of Plane Trigonometry: To which is Prefixed a Summary View of the Nature and Use of Logarithms : Being the Second Part of a Course of Mathematics, Adapted to the Method of Instruction in the American Colleges
Published and sold by Hezekiah Howe, 1831 - 155 من الصفحات
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ABCD altitude angle of elevation ARITHM axis base breadth calculation cask chord circle circular segment circumference column cone cosecant cosine cubic decimal Diff difference of latitude difference of longitude divided earth equator feet field figure find the area find the solidity frustum given side gles greater horizon hypothenuse inches inscribed length logarithm measured Mercator's Merid meridian distances meridional difference middle latitude miles minutes multiplied number of degrees number of sides object oblique parallel of latitude parallelogram parallelopiped perimeter perpendicular perpendicular height plane sailing prism PROBLEM proportion pyramid quadrant quotient radius regular polygon right angled triangle right cylinder rods secant sector segment ship sails sine slant-height sphere spherical spirit level square stations subtract tables tangent theorem trapezium triangle ABC Trig trigonometry whole wine gallons zone
الصفحة 81 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
الصفحة 50 - The surface of a sphere is equal to the product of its diameter by the circumference of a great circle.
الصفحة 55 - ... the square of the hypothenuse is equal to the sum of the squares of the other two sides.
الصفحة 69 - It will be sufficient to lay the edge of a rule on C, so as to be parallel to a line supposed to pass through B and D, and to mark the point of intersection G. 126. If after a field has been surveyed, and the area computed, the chain is found to be too long or too short ; the true contents may be found, upon the principle that similar figures are to each other as the squares of their homologous sides.
الصفحة 118 - The sum of any two sides of a triangle is to their difference, as the tangent of half the sum of the angles opposite to those sides, to the tangent of half their difference.