Rudimentary Treatise On Mensuration Arranged for the Use of Schools And Practi
Rudimentary Treatise On Mensuration Arranged for the Use of Schools And Practi
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MENSURATION OP SOLIDS.
71 FORMULA.
S 3= i^^/r, r being the revolving axis, and /the fixed axis.
Note. In the prolate spheroid, the revolving axis is the conjugate ; but, in the oblate, the revolving axis is the transverse.
EXAMPLES.
1 . Required the solidity of the prolate spheroid A C B D, the axes being A B 50 and C D 30.
30 30 •5236 45000 900 50 26180000 20944 45000 23562-0000 Ans 2. Required the content of an oblate spheroid, the axes of which are 50 and 30 inches. Ans, 22*7257 cubic feet.
...3. What is the solidity of a prolate spheroid, the axes of which are 9 and 7 feet ? Ans. 230*9076 cubic feet.
4. The earth is an oblate spheroid, the equatorial and polar axes being 7925| and 7899 miles respectively ; what is its con- tent in cubic miles ?
Problem XVIII.
To find the content of the middle zone of a spheroid^ the ends being circular arid perpendicular to the fixed axis.
Rule. — To double the square of the middle diameter, add the square of the diameter of one end ; multiply this sum by the length of the frustrum, and the product again by '2618 for the content.
What to read after Rudimentary Treatise On Mensuration Arranged for the Use of Schools And Practi?
You can find similar books in the "Read Also" column, or choose other free books by Baker Thomas Fl. to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
MENSURATION OP SOLIDS.
71 FORMULA.
S 3= i^^/r, r being the revolving axis, and /the fixed axis.
Note. In the prolate spheroid, the revolving axis is the conjugate ; but, in the oblate, the revolving axis is the transverse.
EXAMPLES.
1 . Required the solidity of the prolate spheroid A C B D, the axes being A B 50 and C D 30.
30 30 •5236 45000 900 50 26180000 20944 45000 23562-0000 Ans 2. Required the content of an oblate spheroid, the axes of which are 50 and 30 inches. Ans, 22*7257 cubic feet.
...3. What is the solidity of a prolate spheroid, the axes of which are 9 and 7 feet ? Ans. 230*9076 cubic feet.
4. The earth is an oblate spheroid, the equatorial and polar axes being 7925| and 7899 miles respectively ; what is its con- tent in cubic miles ?
Problem XVIII.
To find the content of the middle zone of a spheroid^ the ends being circular arid perpendicular to the fixed axis.
Rule. — To double the square of the middle diameter, add the square of the diameter of one end ; multiply this sum by the length of the frustrum, and the product again by '2618 for the content.
What to read after Rudimentary Treatise On Mensuration Arranged for the Use of Schools And Practi?
You can find similar books in the "Read Also" column, or choose other free books by Baker Thomas Fl. to read onlineMoreLess
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