Elements of Geometry and Trigonometry |
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Page 48
... feet and 672 feet , and their included angle 55 ° 40 ' . ed the distance AB . Requir- Ans . 592.967 ft . A B 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 B 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 ? 3. How many square yards are whose base is 66.3 feet , and altitude Ans . 41738.49 sq . ft . there in a rectangle , 33.3 feet ? Ans . 245.31 sq . yd . 4. What is the area of a rectangular board , whose length is 12 feet , and ...
... feet ? 3. How many square yards are whose base is 66.3 feet , and altitude Ans . 41738.49 sq . ft . there in a rectangle , 33.3 feet ? Ans . 245.31 sq . yd . 4. What is the area of a rectangular board , whose length is 12 feet , and ...
Page 107
... feet . Ans . 663 . 3. Find the area of a triangle , in square yards , whose base is 49 , and altitude 251 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 251 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 . LEM MA . 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 . LEM MA . 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 . 1313 . 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 . 1313 . 3. How many square yards are there in a trapezoid , whose parallel sides are 240 feet ...
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Elements of Geometry and Trigonometry: From the Works of A. M. Legendre Adrien Marie Legendre,Charles Davies No preview available - 2016 |
Common terms and phrases
AB² ABCD AC² adjacent angles altitude angle ACB apothem Applying logarithms base and altitude centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec Cosine Cotang cylinder denote diameter distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given line greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin logarithm lower base mantissa mean proportional measured by half number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right-angled triangle Scholium secant segment semi-circumference side BC similar Sine slant height sphere spherical angle spherical polygon spherical triangle square straight line Tang tangent THEOREM triangle ABC triangular prisms upper base vertex vertices whence
Popular passages
Page 28 - If two triangles have two sides of the one equal to two sides of the...
Page 100 - The area of a triangle is equal to half the product of its base by its altitude.
Page 99 - The area of a parallelogram is equal to the product of its base and its height: A = bx h.
Page 59 - A chord is a straight line joining the extremities of an arc.
Page 124 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Page 214 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Page 43 - 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.
Page 52 - If the product of two quantities is equal to the product of two other quantities, two of them may be made the extremes, and the other two the means of a proportion.
Page 123 - Similar triangles are to each other as the squares of their homologous sides.
Page 182 - The upper end of the frustum of a pyramid or cone is called the upper base...