Elements of Geometry and Trigonometry: With Practical ApplicationsR.S. Davis & Company, 1869 - 382 pages |
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Page 254
With Practical Applications Benjamin Greenleaf. 611. TABLE OF SURFACE MEASURES . 144 Square Inches make 1 Square Foot . 9 Square Feet 66 1 Square Yard . 30 Square Yards 66 1 Square Rod or Pole . 40 Square Rods 66 1 Rood . 4 Roods 66 1 ...
With Practical Applications Benjamin Greenleaf. 611. TABLE OF SURFACE MEASURES . 144 Square Inches make 1 Square Foot . 9 Square Feet 66 1 Square Yard . 30 Square Yards 66 1 Square Rod or Pole . 40 Square Rods 66 1 Rood . 4 Roods 66 1 ...
Page 255
... inches wide ? 7. How many acres in a rectangular garden , whose sides are 326 and 153 feet ? Ans . 1 A. 23 P. 61 yd . 8. A rectangular court 68 ft . 3 in . long , by 56 ft . 8 in . broad , is to be paved with stones of a rectangular ...
... inches wide ? 7. How many acres in a rectangular garden , whose sides are 326 and 153 feet ? Ans . 1 A. 23 P. 61 yd . 8. A rectangular court 68 ft . 3 in . long , by 56 ft . 8 in . broad , is to be paved with stones of a rectangular ...
Page 256
... inches in width , to contain 11 square feet ? 3. A rectangular piece of land containing 6 acres is 120 rods long ; what is its width ? Ans . 8 rods . 4. The area of a rectangular farm is 266 A. 3 R. 8P . , and the breadth 46 chains ...
... inches in width , to contain 11 square feet ? 3. A rectangular piece of land containing 6 acres is 120 rods long ; what is its width ? Ans . 8 rods . 4. The area of a rectangular farm is 266 A. 3 R. 8P . , and the breadth 46 chains ...
Page 259
... inches and altitude 27 feet . 4. What is the area of a triangle whose base is 15.75 chains , and the altitude 10.22 chains ? 5. What is the area of a triangular field whose base is 97 rods , and the perpendicular distance from the base ...
... inches and altitude 27 feet . 4. What is the area of a triangle whose base is 15.75 chains , and the altitude 10.22 chains ? 5. What is the area of a triangular field whose base is 97 rods , and the perpendicular distance from the base ...
Page 278
... inches in diameter ; of how many inches square can a stick be hewn from it ? 4. There is a circular field 1000 rods in circuit ; what is the side of the largest square that can be described in it ? Ans . 225.10 rods . PROBLEM XXIX . 654 ...
... inches in diameter ; of how many inches square can a stick be hewn from it ? 4. There is a circular field 1000 rods in circuit ; what is the side of the largest square that can be described in it ? Ans . 225.10 rods . PROBLEM XXIX . 654 ...
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Common terms and phrases
A B C ABCD adjacent angles altitude angle equal angles ACD base bisect centre chord circle circumference circumscribed cone convex surface cosec Cosine Cotang cylinder diagonal diameter distance divided drawn equal Prop equilateral triangle equivalent exterior angle feet formed frustum gles greater GREENLEAF'S half the sum hence homologous hypothenuse inches included angle inscribed isosceles less Let ABC line A B logarithmic sine measured by half multiplied number of sides parallel parallelogram parallelopipedon pendicular perimeter perpendicular plane MN polyedron prism PROBLEM PROPOSITION pyramid quadrantal radii radius ratio rectangle regular polygon right angles right-angled triangle rods Scholium secant segment side A B similar slant height solve the triangle sphere spherical polygon spherical triangle Tang tangent triangle ABC triangle equal trigonometric functions TRIGONOMETRY vertex
Popular passages
Page 37 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Page 103 - If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent.
Page 95 - Each side of a spherical triangle is less than the sum of the other two sides.
Page 172 - If two planes are perpendicular to each other, a straight line drawn in one of them, perpendicular to their common section, will be perpendicular to the other plane.
Page 121 - Through a given point to draw a straight line parallel to a given straight line, Let A be the given point, and BC the given straight line : it is required to draw through the point A a straight line parallel to BC.
Page 272 - ALSO THE AREA OF THE TRIANGLE FORMED BY THE CHORD OF THE SEGMENT AND THE RADII OF THE SECTOR. THEN...
Page 33 - 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 19 - In an isosceles triangle, the angles opposite the equal sides are equal.
Page 94 - In any quadrilateral the sum of the squares of the sides is equivalent to the sum of the squares of the diagonals, plus four times the square of the straight line that joins the middle points of the diagonals.
Page 102 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.