Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Revised and Adapted to the Course of Mathematical Instruction in the United StatesA.S. Barnes & Company, 1854 - 432 σελίδες |
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Σελίδα 294
... feet in height , the angles of depres sion are measured from the top of the tower , and are found to be , of the nearer 57 ° , of the more remote 25 ° 30 ' : re- quired the distance between the objects . Ans . 173.656 feet . 2. In order ...
... feet in height , the angles of depres sion are measured from the top of the tower , and are found to be , of the nearer 57 ° , of the more remote 25 ° 30 ' : re- quired the distance between the objects . Ans . 173.656 feet . 2. In order ...
Σελίδα 347
... 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 ...
Σελίδα 348
... feet , and altitude 5 feet 3 inches . Ans . 2112 . 5. To find the area of a triangle . CASE I. When the base and altitude are given . Multiply the base by the altitude , and take half the product . Or , multiply one of these dimensions ...
... feet , and altitude 5 feet 3 inches . Ans . 2112 . 5. To find the area of a triangle . CASE I. When the base and altitude are given . Multiply the base by the altitude , and take half the product . Or , multiply one of these dimensions ...
Σελίδα 349
... feet and 21.25 feet , and their included angle 45 ° ? Ans . 20.8694 , CASE III . 7. When the three sides are known . 1. Add the three sides together , and take half their sum . 2. From this half - sum subtract each side separately . 3 ...
... feet and 21.25 feet , and their included angle 45 ° ? Ans . 20.8694 , CASE III . 7. When the three sides are known . 1. Add the three sides together , and take half their sum . 2. From this half - sum subtract each side separately . 3 ...
Σελίδα 350
... feet ? 8. To find the area of a trapezoid . Ans . 663 . Add together the two parallel sides : then multiply their ... feet are contained in a plank , whose length is 12 feet 6 inches , the breadth at the greater end 15 inches , and at ...
... feet ? 8. To find the area of a trapezoid . Ans . 663 . Add together the two parallel sides : then multiply their ... feet are contained in a plank , whose length is 12 feet 6 inches , the breadth at the greater end 15 inches , and at ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
adjacent angles altitude angle ACB angle BAD base ABCD bisect centre chord circ circumference circumscribed common comp cone consequently convex surface cosine Cotang cylinder diagonal diameter distance divided draw drawn edges equations equivalent feet figure find the area frustum given angle given line given point gles greater hence homologous homologous sides hypothenuse included angle inscribed circle intersect less Let ABC let fall logarithm magnitudes measured by half middle point number of sides oblique lines opposite parallelogram parallelopipedon pendicular perimeter perpendicular plane MN polyedral angle polyedron PROBLEM PROPOSITION pyramid quadrant radii radius ratio rectangle regular polygon right angles right-angled triangle Scholium secant segment side BC similar sine slant height solidity sphere spherical polygon spherical triangle square described straight line Tang tangent THEOREM triangle ABC triangular prism triedral angles vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 27 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 227 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
Σελίδα 256 - The logarithm of . the quotient of two numbers, is equal to the logarithm of the dividend diminished by the logarithm of the divisor.
Σελίδα 97 - The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.
Σελίδα 26 - The sum of any two sides of a triangle is greater than the third side.
Σελίδα 271 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Σελίδα 93 - The area of a parallelogram is equal to the product of its base and altitude.
Σελίδα 358 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
Σελίδα 323 - A'B'C', and applying the law of cosines, we have cos a' = cos b' cos c' + sin b' sin c' cos A'. Remembering the relations a' = 180° -A, b' = 180° - B, etc. (this expression becomes cos A = — cos B cos C + sin B sin C cos a.
Σελίδα 64 - Two equal chords are equally distant from the centre ; and of two unequal chords, the less is at the greater distance from the centre.