Geometry: Applied to the Mensuration of Lines, Surfaces, Solids, Heights and Distances |
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Page 140
B[enjamin] Franklin Callender. Cubic Measure . 1728 cubic lines are 1 cubic inch . 1728 cubic inches " " 1 cubic foot . 27 cubic feet 66 1 cubic yard . 231 cubic inches 66 1 gallon , wine measure . 282 cubic inches " " 1 gallon , beer ...
B[enjamin] Franklin Callender. Cubic Measure . 1728 cubic lines are 1 cubic inch . 1728 cubic inches " " 1 cubic foot . 27 cubic feet 66 1 cubic yard . 231 cubic inches 66 1 gallon , wine measure . 282 cubic inches " " 1 gallon , beer ...
Page 141
... cube , each side of which is 18 ? 18 18 18 18X18 = 324 , area of one side . 324 × 18 = 5832 , solidity of the cube . 2. What is the solidity of a cube , each side of which measures 25 inches ? ANS . 15625 cubic inches . 3. What is the ...
... cube , each side of which is 18 ? 18 18 18 18X18 = 324 , area of one side . 324 × 18 = 5832 , solidity of the cube . 2. What is the solidity of a cube , each side of which measures 25 inches ? ANS . 15625 cubic inches . 3. What is the ...
Page 142
... inches on each side ? The inches may be changed to decimals or duodeci- mals . ANS . 166 cubic inches . 8. How many 4 - inch cubes and 8 inch cubes , of each an equal number , may be cut from one 12 inch cube ? ANS . 3 four - inch cubes ...
... inches on each side ? The inches may be changed to decimals or duodeci- mals . ANS . 166 cubic inches . 8. How many 4 - inch cubes and 8 inch cubes , of each an equal number , may be cut from one 12 inch cube ? ANS . 3 four - inch cubes ...
Page 143
... inches square and length 50 inches ? 16 50 D B 16 A 16x16 256 sq . inches , area of one end A B C D. 256 × 50 = 12800 cubic inches , solidity of the paral- lelopiped . 2. How many cubic feet are there in a timber 20 feet long , the ends ...
... inches square and length 50 inches ? 16 50 D B 16 A 16x16 256 sq . inches , area of one end A B C D. 256 × 50 = 12800 cubic inches , solidity of the paral- lelopiped . 2. How many cubic feet are there in a timber 20 feet long , the ends ...
Page 144
... cubic feet . 15X2 = 30 sq . feet , this gives the area of the surface . 30X5 = 150 , this gives twelfths of cubic feet . 150-12-12 cubic feet . 5. How far from the end must a timber be cut which is 12 inches wide and 8 inches thick , so ...
... cubic feet . 15X2 = 30 sq . feet , this gives the area of the surface . 30X5 = 150 , this gives twelfths of cubic feet . 150-12-12 cubic feet . 5. How far from the end must a timber be cut which is 12 inches wide and 8 inches thick , so ...
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Geometry - Applied to the Mensuration of Lines, Surfaces, Solids, Heights ... Benjamin Franklin Callender No preview available - 2011 |
Common terms and phrases
12 inches 15 feet 9 inches acres altitude called centre Change the fractions chord circle circular circumference common denominator cone contained cube root cubic feet cubic inches decimals degrees distance dividend divisor dollars Duodecimals Ellipsis equal equilateral triangle feet 6 inches feet 9 feet high feet long feet of wood feet wide figures find the area find the solidity five tenths foot gives the solidity greater base height highest denominator hundred hundredths hypothenuse improper fraction inches in length inches wide line A B line drawn mean area mean proportional measure merator Middle Frustum miles mixed number Multiply the square oblate spheroid Parabolic Conoid Parabolic Spindle parallel parallelogram parallelopiped perpendicular piece of land plane Polygons prolate spheroid pyramid quotient radius regular polygon rhombus right angle right triangle sphere square feet square inches square root straight line Subtract surface trapezium twelfths versed sine whole number
Popular passages
Page 15 - To reduce a mixed number to an improper fraction. Multiply the whole number by the denominator of the fraction, and to the product add the given numerator.
Page 191 - Every circumference of a. circle, whether the circle be large or small, is supposed to be divided into 360 equal parts called degrees. Each degree is divided into 60 equal parts called minutes, and each minute into 60 equal parts called seconds.
Page 21 - Multiply the numerators together for the numerator of the product, and the denominators together for the denominator of the product.
Page 14 - To reduce an improper fraction to a whole or mixed number, Divide the numerator by the denominator. The quotient will be the whole number, and the remainder, if...
Page 164 - From three times the diameter of the sphere, take double the height of the segment ; then multiply the remainder by the square of the height, and the product by the decimal .5236...
Page 22 - It will be seen that we multiply the denominator of the dividend by the numerator of the divisor for the denominator of the quotient, and the numerator of the dividend by the denominator of the divisor for the numerator of the quotient.
Page 104 - To find the area of a trapezoid, multiply half the sum of the parallel sides by the shortest distance between them. NOTE 3. — A trapezoid is a figure, like the one in the annexed diagram, bounded by four straight lines, only two of which are parallel.
Page 22 - At | of a dollar a yard, how many yards of cloth can be bought for f of a dollar ? 30.
Page 112 - Divide the square of half the chord by the versed sine, and to the quotient add the versed sine ; the sum will be the diameter of the circle.