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<p>Multiply the area of the<lb/> | <p>Multiply the area of the<lb/> | ||
base by the height.</p><pb/> | base by the height.</p><pb/> | ||
<p>N<hi rend="superscript">o</hi> 377. Prob. 25. p. 280</p> | |||
<p>To find the content of a<lb/> | |||
wall, in square rods of<lb/> | |||
a brick & half thick.</p> | |||
<p>Rule.</p> | |||
<p>Multiply the area of<lb/> | |||
the wall in feet, by the<lb/> | |||
number of half bricks<lb/> | |||
in thickness, and divide<lb/> | |||
the product by<lb/> | |||
816.</p> | |||
<p>N<hi rend="superscript">o</hi> 378. Prob. 26. p 281</p> | |||
<p>To find the content<lb/> | |||
of a pyramid.</p> | |||
<p>Rule</p> | |||
<p>Multiply the area<lb/> | |||
of the base by a third<lb/> | |||
part of the altitude.</p> | |||
<p>N<hi rend="superscript">o</hi> 381. Prob. 29. p 284</p> | |||
<p>To find the content of<lb/> | |||
the frustum of a square<lb/> | |||
pyramid made by a <lb/> | |||
section parallel to the<lb/> | |||
base.</p> | |||
<p>Rule.</p> | |||
<p>To the areas of the ends,<lb/> | |||
add the product of<lb/> | |||
their sides, and multiply<lb/> | |||
the sum by a<lb/> | |||
third part of the altitude.</p><pb/> | |||
<p>N<hi rend="superscript">o</hi> 382. Prob. 30. p. 285.</p> | |||
<p>To find the content of<lb/> | |||
a prismoid, being a<lb/> | |||
solid contained under<lb/> | |||
six <sic>plains</sic>; the bases<lb/> | |||
are parallel rectangles,<lb/> | |||
and the four sides<lb/> | |||
quadrangles.</p> | |||
<p>Rule.</p> | |||
<p>To the areas of the<lb/> | |||
ends, add the product<lb/> | |||
of the sums of their<lb/> | |||
lengths & breadths, and<lb/> | |||
multiply this sum by a<lb/> | |||
sixth part of the altitude</p> | |||
<p>N<hi rend="superscript">o</hi> 383 Prob. 31. p 286</p> | |||
<p>To find the content of a<lb/> | |||
cylinder.</p> | |||
<p>Rule</p> | |||
<p>Multiply the area of the<lb/> | |||
base by the altitude of the<lb/> | |||
cylinder.</p> | |||
<p>N<hi rend="superscript">o</hi> 384 Prob. 32. p 287</p> | |||
<p>To find the content of a<lb/> | |||
triangular <sic>cestern</sic>,<lb/> | |||
whose bottom is the<lb/> | |||
sector of a circle.</p> | |||
<p>Rule</p> | |||
<p>Multiply the area of the<lb/> | |||
bottom in inches, by the<lb/> | |||
depth in inches; and<lb/> | |||
divide the product by 282.</p> | |||
<p>N<hi rend="superscript">o</hi> 305. Prob. 33. p 288</p> | |||
<p>The bung diameter, head<lb/> | |||
diameter, and length<lb/> | |||
of a cask (within side) being<lb/> | |||
given; to find the<lb/> | |||
content of a cylinder<lb/> | |||
nearly equal to it; which<lb/> | |||
is called <sic>gaughing</sic> the<lb/> | |||
cask.</p> | |||
<p>Rule.</p> | |||
<p>To the head diameter, add<lb/> | |||
seven tenth parts of the<lb/> | |||
difference between the bung<lb/> | |||
& head diameters, and the<lb/> | |||
sum will be a mean diameter<lb/> | |||
of the cask; and multiply<lb/> | |||
y<hi rend="superscript">e</hi> sq. of y<hi rend="superscript">e</hi> mean dia. the length <!-- Continues in next column --> <note>of the cask, and 0,78 together.</note></p> | |||
<p>N<hi rend="superscript">o</hi> 386 Prob. 34. p 289</p> | |||
<p>To find the content of<lb/> | |||
a cone.</p> | |||
<p>Rule.</p> | |||
<p>Multiply the area of<lb/> | |||
the base by a third<lb/> | |||
part of the altitude.</p> | |||
No 371 Prob. 21. p. 272
The diameter of a globe
being given; to find the
superficies.
Rule.
Find the circumference of a
great circle upon the globe
by article 356, and multiply
the circumference by the diameter.
No 372 Prob. 21. p. 273.
The diameter, or semidiameter
of a globe being
given, to find the superficies.
Rules
Multiply 3,1416 by the
square of the diameter. Or
2. Multiply the square of
the semidiameter by 88, &
divide the product by 7.
No 373. Prob. 22. p. 274
To find the superficies of a
segment of a globe, made
by the section of a plain.
Rule.
Multiply the circumference
of the globe by the
height of the segment.
No 375 Prob. 23. p. 276.
To find the solidity or content
of a cube.
Rule
Multiply the square
of the side by the side.
No 376. Prob. 24. p. 277
To find the content of a
prism.
Rule
Multiply the area of the
base by the height.
---page break---
No 377. Prob. 25. p. 280
To find the content of a
wall, in square rods of
a brick & half thick.
Rule.
Multiply the area of
the wall in feet, by the
number of half bricks
in thickness, and divide
the product by
816.
No 378. Prob. 26. p 281
To find the content
of a pyramid.
Rule
Multiply the area
of the base by a third
part of the altitude.
No 381. Prob. 29. p 284
To find the content of
the frustum of a square
pyramid made by a
section parallel to the
base.
Rule.
To the areas of the ends,
add the product of
their sides, and multiply
the sum by a
third part of the altitude.
---page break---
No 382. Prob. 30. p. 285.
To find the content of
a prismoid, being a
solid contained under
six plains; the bases
are parallel rectangles,
and the four sides
quadrangles.
Rule.
To the areas of the
ends, add the product
of the sums of their
lengths & breadths, and
multiply this sum by a
sixth part of the altitude
No 383 Prob. 31. p 286
To find the content of a
cylinder.
Rule
Multiply the area of the
base by the altitude of the
cylinder.
No 384 Prob. 32. p 287
To find the content of a
triangular cestern,
whose bottom is the
sector of a circle.
Rule
Multiply the area of the
bottom in inches, by the
depth in inches; and
divide the product by 282.
No 305. Prob. 33. p 288
The bung diameter, head
diameter, and length
of a cask (within side) being
given; to find the
content of a cylinder
nearly equal to it; which
is called gaughing the
cask.
Rule.
To the head diameter, add
seven tenth parts of the
difference between the bung
& head diameters, and the
sum will be a mean diameter
of the cask; and multiply
ye sq. of ye mean dia. the length of the cask, and 0,78 together.
No 386 Prob. 34. p 289
To find the content of
a cone.
Rule.
Multiply the area of
the base by a third
part of the altitude.
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087 |
geo. |
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copy/fair copy sheet |
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46205 |
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