Elements of Geometry and Trigonometry |
From inside the book
Results 1-5 of 17
Page 48
... feet and 672 feet , and their included angle 55 ° 40 ' . ed the distance AB . Requir- Ans . 592.967 ft . A 5. Being on a horizontal plane , and wanting to ascertain the height of a tower , standing on the top of an inaccessible hill ...
... feet and 672 feet , and their included angle 55 ° 40 ' . ed the distance AB . Requir- Ans . 592.967 ft . A 5. Being on a horizontal plane , and wanting to ascertain the height of a tower , standing on the top of an inaccessible hill ...
Page 106
... feet , and breadth 9 inches ? 97 sq . ft 5. What is the number of square yards in a parallelo- gram , whose base is 37 feet , and altitude 5 feet 3 inches ? Ans . 21 . 96 . To find the area of a plane triangle . First Case . When the ...
... feet , and breadth 9 inches ? 97 sq . ft 5. What is the number of square yards in a parallelo- gram , whose base is 37 feet , and altitude 5 feet 3 inches ? Ans . 21 . 96 . To find the area of a plane triangle . First Case . When the ...
Page 107
... feet . Ans . 663 . 3. Find the area of a triangle , in square yards , whose base is 49 , and altitude 25 feet . Ans . 68.7361 . Second Case . When two sides and their included angle are given . Let ABC represent a plane tri- angle , in ...
... feet . Ans . 663 . 3. Find the area of a triangle , in square yards , whose base is 49 , and altitude 25 feet . Ans . 68.7361 . Second Case . When two sides and their included angle are given . Let ABC represent a plane tri- angle , in ...
Page 108
... feet and 21.25 feet , and their included angle 45 ° ? Ans . 20.8694 . LEMMA . To find half an angle , when the three sides of a plane tri- angle are given . 97. Let ABC be a plane tri- angle , the angles and sides being de- noted as in ...
... feet and 21.25 feet , and their included angle 45 ° ? Ans . 20.8694 . LEMMA . To find half an angle , when the three sides of a plane tri- angle are given . 97. Let ABC be a plane tri- angle , the angles and sides being de- noted as in ...
Page 112
... 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 . 3. How many square yards are there in a trapezoid , whose parallel sides are 240 feet ...
... 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 . 3. How many square yards are there in a trapezoid , whose parallel sides are 240 feet ...
Other editions - View all
Common terms and phrases
ABCD AC² 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