Agricola, Georgius
,
De re metallica
,
1912/1950
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generally speaking, it is not deep; but there are usually several, all
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inclined, and one always following the other. </
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<
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>Therefore, if a tunnel is seventy
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seven fathoms long, it will reach to the middle of the bottom of a shaft when
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six fathoms and two feet further have been sunk. </
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<
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>But if all such inclined
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shafts are seventy-six fathoms deep, in order that the last one may reach
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the bottom of the tunnel, a depth of seven fathoms and two feet remains to
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be sunk.</
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<
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62
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<
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>TRIANGLE HAVING AN OBTUSE ANGLE AND TWO EQUAL SIDES.</
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<
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>If a minor triangle is made which has an obtuse angle and three unequal
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sides, then again the sides of the large triangle cannot be equal. </
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<
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>For
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example, if the first side of the minor triangle is six feet long, the second
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three feet, and the third four feet, and the cord along the side of the greater
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triangle one hundred and one times six feet, that is, one hundred and one
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fathoms, the distance between the mouth of the tunnel and the bottom of
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the last shaft will be a length one hundred times three feet, or fifty fathoms;
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but the depth that lies between the mouth of the first shaft and the bottom of
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the tunnel is one hundred times four feet, or sixty-six fathoms and four feet.
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</
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<
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>Therefore, if a tunnel is forty-four fathoms long, the remaining distance to
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be driven is six fathoms. </
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>
<
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>If the shafts are fifty-eight fathoms deep, the
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newest will touch the bottom of the tunnel when eight fathoms and four
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feet have been sunk.</
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</
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<
figure
number
="
63
"/>
<
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type
="
caption
">
<
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>TRIANGLE HAVING AN OBTUSE ANGLE AND THREE UNEQUAL SIDES.</
s
>
</
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>
<
p
type
="
main
">
<
s
>If a minor triangle is produced which has all its angles acute and its
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lb
/>
three sides equal, then necessarily the second and third sides of the minor
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/>
triangle will be equal, and likewise the sides of the major triangle frequently
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/>
referred to will be equal. </
s
>
<
s
>Thus if each side of the minor triangle is six feet
<
lb
/>
long, and the cord measurement for the side of the major triangle is one
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/>
hundred and one times six feet, that is, one hundred and one fathoms, then
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/>
both the distances to be dug will be one hundred fathoms. </
s
>
<
s
>And thus if the
<
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tunnel is ninety fathoms long, it will reach the middle of the bottom of the
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last shaft when ten fathoms further have been driven. </
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>
<
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>If the shafts are </
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</
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</
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>
</
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>
</
text
>
</
archimedes
>