Elements of Plane and Spherical Trigonometry: With Practical ApplicationsR. S. Davis, 1862 - 490 páginas |
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Página 45
... feet long to a line 2 feet long is or 3 ; and the inverse ratio of a line 6 feet long to a line 2 feet long is or , which is the same as the reciprocal of 3 , the direct ratio of 6 to 2 . The word ratio when used alone means the direct ...
... feet long to a line 2 feet long is or 3 ; and the inverse ratio of a line 6 feet long to a line 2 feet long is or , which is the same as the reciprocal of 3 , the direct ratio of 6 to 2 . The word ratio when used alone means the direct ...
Página 253
... Feet 66 1 Yard . 51 Yards 66 1 Rod or Pole . 40 Rods 66 1 Furlong . 8 Furlongs 66 1 Mile . Also , 7 Inches 66 1 Link . 25 Links 66 1 Rod or Pole . 100 Links 66 1 Chain . 10 Chains 66 1 Furlong . 8 Furlongs " 1 Mile . NOTE . - For other ...
... Feet 66 1 Yard . 51 Yards 66 1 Rod or Pole . 40 Rods 66 1 Furlong . 8 Furlongs 66 1 Mile . Also , 7 Inches 66 1 Link . 25 Links 66 1 Rod or Pole . 100 Links 66 1 Chain . 10 Chains 66 1 Furlong . 8 Furlongs " 1 Mile . NOTE . - For other ...
Página 254
... feet ? 25 X 25 625 feet , Ans . - 2. What is the area of a square field whose side is 35.25 chains ? Ans . 124 A. 1 R. 1 P. D C A B 3. How many square feet of boards are required to lay a floor 21 ft . 6 in . square ? 4. Required the ...
... feet ? 25 X 25 625 feet , Ans . - 2. What is the area of a square field whose side is 35.25 chains ? Ans . 124 A. 1 R. 1 P. D C A B 3. How many square feet of boards are required to lay a floor 21 ft . 6 in . square ? 4. Required the ...
Página 255
... feet , and the perpendicular dis- tance , EF , between A B and the oppo- site side CD , is 192 feet . 354 X 192 67,968 feet , Ans . = D E C A F B 10. How many square feet in a flower - plat , in the form of a rhombus , whose side is 12 feet ...
... feet , and the perpendicular dis- tance , EF , between A B and the oppo- site side CD , is 192 feet . 354 X 192 67,968 feet , Ans . = D E C A F B 10. How many square feet in a flower - plat , in the form of a rhombus , whose side is 12 feet ...
Página 256
... feet , and the length of one of the sides is 56 feet ; what is the length of the other side ? 2072 56 37 feet , the side required . 2. How long must a rectangular board be , which is 15 inches in width , to contain 11 square feet ? 3. A ...
... feet , and the length of one of the sides is 56 feet ; what is the length of the other side ? 2072 56 37 feet , the side required . 2. How long must a rectangular board be , which is 15 inches in width , to contain 11 square feet ? 3. A ...
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Términos y frases comunes
A B C ABCD adjacent angles altitude angle ACB angle equal 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 half the sum hence homologous hypothenuse inches included angle inscribed interior angles isosceles less Let ABC line A B logarithmic sine measured by half multiplied number of sides parallel parallelogram parallelopipedon pendicular perimeter perpendicular polyedron prism PROBLEM PROPOSITION pyramid quadrantal radii radius ratio rectangle regular polygon Required the area 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 THEOREM triangle ABC triangle equal trigonometric functions vertex
Pasajes populares
Página 28 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Página 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.
Página 79 - Two rectangles having equal altitudes are to each other as their bases.
Página 251 - The convex surface of the cylinder is equal to the circumference of its base multiplied by its altitude (Prop.
Página 52 - If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d = e :f Now ab = ab (1) and by Theorem I.
Página 35 - If any side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles.
Página 168 - If a straight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to the plane of those lines.
Página 303 - Equal triangles upon the same base, and upon the same side of it, are between the same parallels.
Página 4 - The logarithm of any POWER of a number is equal to the product of the logarithm of the number by the exponent of the power. For let m be any number, and take the equation (Art. 9) M=a*, then, raising both sides to the wth power, we have Mm = (a")m = a"" . Therefore, log (M m) = xm = (log M) X »»12.
Página 102 - Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing.