Agricola, Georgius
,
De re metallica
,
1912/1950
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ninety-five fathoms deep, the last will reach the bottom of the tunnel when
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it is sunk a further depth of five fathoms.</
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>A TRIANGLE HAVING ALL ITS ANGLES ACUTE AND ITS THREE SIDES EQUAL.</
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>If a triangle is made which has all its angles acute, but only two sides
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equal, namely, the first and third, then the second and third sides are not
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equal; therefore the distances to be dug cannot be equal. </
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>For example, if
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the first side of the minor triangle is six feet long, and the second is four feet,
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and the third is six feet, and the cord measurement for the side of the major
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triangle is one hundred and one times six feet, that is, one hundred and one
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fathoms, then the distance between the mouth of the tunnel and the bottom of
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the last shaft will be sixty-six fathoms and four feet. </
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>But the distance from the
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mouth of the first shaft to the bottom of the tunnel is one hundred fathoms.
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>So if the tunnel is sixty fathoms long, the remaining distance to be driven
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into the mountain is six fathoms and four feet. </
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>If the shaft is ninety-seven
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fathoms deep, the last one will reach the bottom of the tunnel when a further
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depth of three fathoms has been sunk.</
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>TRIANGLE HAVING ALL ITS ANGLES ACUTE AND TWO SIDES EQUAL, A, B, UNEQUAL SIDE C.</
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<
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>If a minor triangle is produced which has all its angles acute, but its
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three sides unequal, then again the distances to be dug cannot be equal.
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>For example, if the first side of the minor triangle is seven feet long, the
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second side is four feet, and the third side is six feet, and the cord measureĀ
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ment for the side of the major triangle is one hundred and one times seven
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feet or one hundred and seventeen fathoms and four feet, the distance
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between the mouth of the tunnel and the bottom of the last shaft will be
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four hundred feet or sixty-six fathoms, and the depth between the mouth of
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the first shaft and the bottom of the tunnel will be one hundred fathoms.
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<
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>Therefore, if a tunnel is fifty fathoms long, it will reach the middle of the
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bottom of the newest shaft when it has been driven sixteen fathoms and four
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feet further. </
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<
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>But if the shafts are then ninety-two fathoms deep, the last </
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