A Treatise of Plane Trigonometry: To which is Prefixed a Summary View of the Nature and Use of Logarithms : Being the Second Part of a Course of Mathematics, Adapted to the Method of Instruction in the American Colleges |
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Page 29
... capacity , solidity , * or solid contents of a body , is finding the number of cubic measures , of some given denom- ination contained in the body . In solid measure . 1728 cubic inches 27 cubic feet 4492 cubic feet 32768000 cubic rods ...
... capacity , solidity , * or solid contents of a body , is finding the number of cubic measures , of some given denom- ination contained in the body . In solid measure . 1728 cubic inches 27 cubic feet 4492 cubic feet 32768000 cubic rods ...
Page 31
... capacity of a cubical vessel which is 2 feet 3 inches deep ? Ans . 11F . 4 ' 8 " 3 " " , or 11 feet 675 inches . 4. If the base of a prism be 108 square inches , and the height 36 feet , what are the solid contents ? Ans . 27 cubic feet ...
... capacity of a cubical vessel which is 2 feet 3 inches deep ? Ans . 11F . 4 ' 8 " 3 " " , or 11 feet 675 inches . 4. If the base of a prism be 108 square inches , and the height 36 feet , what are the solid contents ? Ans . 27 cubic feet ...
Page 46
... capacity ? ( 18.5 ) 2 × .7853982 = 268.8025 . See the ta- And the capacity is 2150.42 cubic inches . ble in Art . 42 . PROBLEM III . To find the CONVEX SURFACE of a RIGHT CONE . 65. MULTIPLY HALF THE SLANT - HEIGHT INTO THE ...
... capacity ? ( 18.5 ) 2 × .7853982 = 268.8025 . See the ta- And the capacity is 2150.42 cubic inches . ble in Art . 42 . PROBLEM III . To find the CONVEX SURFACE of a RIGHT CONE . 65. MULTIPLY HALF THE SLANT - HEIGHT INTO THE ...
Page 49
... capacity of a conical cistern which is 9 feet deep , 4 feet in diameter at the bottom , and 3 feet at the top ? Ans . 87.18 cubic feet 652.15 wine gallons . = 3. How many gallons of ale can be put into a vat in the form of a conic ...
... capacity of a conical cistern which is 9 feet deep , 4 feet in diameter at the bottom , and 3 feet at the top ? Ans . 87.18 cubic feet 652.15 wine gallons . = 3. How many gallons of ale can be put into a vat in the form of a conic ...
Page 52
... diameter ? Ans . The capacity is 33.5104 feet = 250 gallons . 3. If the diameter of the moon be 2180 miles , what is its solidity ? Ans . 5,424,600,000 miles . 72. If the solidity of a sphere be given , 52 MENSURATION OF THE SPHERE .
... diameter ? Ans . The capacity is 33.5104 feet = 250 gallons . 3. If the diameter of the moon be 2180 miles , what is its solidity ? Ans . 5,424,600,000 miles . 72. If the solidity of a sphere be given , 52 MENSURATION OF THE SPHERE .
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A Treatise of Plane Trigonometry: To Which Is Prefixed, a Summary View of ... Jeremiah Day No preview available - 2017 |
A Treatise of Plane Trigonometry: To Which Is Prefixed, a Summary View of ... Jeremiah Day No preview available - 2018 |
A Treatise of Plane Trigonometry: To Which Is Prefixed a Summary View of the ... Jeremiah Day No preview available - 2018 |
Common terms and phrases
ABC Fig ABCD altitude axis base breadth bung diameter calculation cask circle circular sector circular segment circumference column cosecant cosine cotangent course cube cubic decimal departure Diff difference of latitude difference of longitude distance divided earth equal to half equator figure find the area find the SOLIDITY frustum given sides gles greater hypothenuse inches inscribed lateral surface length less logarithm longitude measured Mercator's meridian meridional difference middle diameter miles multiply the sum number of degrees number of sides oblique parallelogram parallelopiped perpendicular perpendicular height plane sailing prism PROBLEM proportion pyramid quadrant quantity quotient radius ratio regular polygon right angled triangle right cylinder rods rule secant sector segment ship sine sines and cosines slant-height sphere spherical subtract tables tangent term theorem trapezium triangle ABC Trig trigonometry wine gallons zone
Popular passages
Page 81 - 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 43 - A cone is a solid figure described by the revolution of a right angled triangle about one of the sides containing the right angle, which side remains fixed.
Page 50 - The surface of a sphere is equal to the product of its diameter by the circumference of a great circle.
Page 55 - ... the square of the hypothenuse is equal to the sum of the squares of the other two sides.
Page 69 - It will be sufficient to lay the edge of a rule on C, so as to be parallel to a line supposed to pass through B and D, and to mark the point of intersection G. 126. If after a field has been surveyed, and the area computed, the chain is found to be too long or too short ; the true contents may be found, upon the principle that similar figures are to each other as the squares of their homologous sides.
Page 118 - The sum of any two sides of a triangle is to their difference, as the tangent of half the sum of the angles opposite to those sides, to the tangent of half their difference.
Page 89 - Divide the height of the segment by the diameter of the circle ; look for the quotient in the column of heights in the table ; take out the corresponding number in the column of areas ; and multiply it by the square of the diameter.