Elements of Geometry and Trigonometry |
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Page 251
... feet and CB = 672 feet , and also the contained angle ACB = 55 ° 40 ' : requi- red the distance AB . Ans . 592.967 feet . 6. Being on a horizontal plane , and wanting to ascertain the height of a tower , standing on the top of an ...
... feet and CB = 672 feet , and also the contained angle ACB = 55 ° 40 ' : requi- red the distance AB . Ans . 592.967 feet . 6. Being on a horizontal plane , and wanting to ascertain the height of a tower , standing on the top of an ...
Page 274
... feet , we should understand that one square foot is taken for the unit of measure , and that this unit is contained ... feet , it will be most convenient to express the area in square feet ; if the linear dimensions are yards , it will ...
... feet , we should understand that one square foot is taken for the unit of measure , and that this unit is contained ... feet , it will be most convenient to express the area in square feet ; if the linear dimensions are yards , it will ...
Page 275
... feet . Ans . 66 . 3. To find the number of square yards in a triangle , whose base is 49 and altitude 25 feet . Ans . 68.7361 . CASE II . When two sides and their included angle are given . RULE . Add together the logarithms of the two ...
... feet . Ans . 66 . 3. To find the number of square yards in a triangle , whose base is 49 and altitude 25 feet . Ans . 68.7361 . CASE II . When two sides and their included angle are given . RULE . Add together the logarithms of the two ...
Page 276
... feet and 21.25 feet , and their included angle 45 ° ? Ans . 20.8694 . CASE III . When the three sides are known . RULE . - 1 . Add the three sides together , and take half their sum 2. From this half - sum subtract each side separately ...
... feet and 21.25 feet , and their included angle 45 ° ? Ans . 20.8694 . CASE III . When the three sides are known . RULE . - 1 . Add the three sides together , and take half their sum 2. From this half - sum subtract each side separately ...
Page 277
... feet are contained in a plank , whose length is 12 feet 6 inches , the breadth at the greater end 15 inches , and at the less end 11 inches ? Ans . 13 sq . ft . 3. How many square yards are there in a trapezoid , whose parallel sides ...
... feet are contained in a plank , whose length is 12 feet 6 inches , the breadth at the greater end 15 inches , and at the less end 11 inches ? Ans . 13 sq . ft . 3. How many square yards are there in a trapezoid , whose parallel sides ...
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Common terms and phrases
adjacent altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone convex surface cosine cotangent cylinder diagonal diameter dicular distance divided draw drawn equal angles equally distant equations equivalent feet figure find the area formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC logarithm measured by half number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE PROBLEM proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE Scholium secant segment similar sine slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex