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" Or, to take a case yet stronger, when it is affirmed, that " the area of a circle is equal to that of a triangle having the circumference for its base, and the radius for its altitude... "
The shipwright's vade-mecum [by D. Steel]. - Page 41
by David Steel - 1805
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A pocket encyclopædia, or library of general knowledge, Volumes 1-4

Edward Augustus Kendall - 1811 - 462 pages
...number of the sides of these is greater : the circle being always limited between the "two polygons. 3. The area of a circle is equal to that of a triangle...the circumference, and perpendicular equal to the radins. And therefore the area of the circle is found by multiplying half the circumference into half...
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Pocket Encyclopedia: Or, A Dictionary of Arts, Sciences, and ..., Volume 1

Edward Augustus Kendall - Encyclopedias and dictionaries - 1811 - 962 pages
...circle being always limited between the two polygons. ," -8. The area of a circle is equal to that of ;i triangle whose base is equal to the circumference, and perpendicular equal to the radius. And there* fore the area of the circle is found by multiplying; half the circumference into half the...
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Elements of the Philosophy of the Human Mind, Volume 2

Dugald Stewart - Psychology - 1814 - 560 pages
...may be expressed by the formula a = a ? Or, to take a case yet stronger, when it is affirmed, that " the area of a circle is equal to that of a triangle having the circumference for its base, and the radius for its altitude ;" would it not be an obvious...
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The complete measurer: or, The whole art of measuring, containing the ...

Thomas Keith - 1817 - 306 pages
...hence the circle is always limited between these polygons. The area of a circle is equal to that of u triangle, whose base is equal to the circumference, and perpendicular equal to tha radius. Circles, like other similar plane figures, are in proportion to one another, as the squares...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 3

John Mason Good - 1819 - 694 pages
...number«! the »ides of these it greater ; the circle being always limited between the two polygons. 3. The area of a circle is equal to that of a triangle...circumference, and perpendicular equal to the radius. A nd therefore the area of the circle is found by drawing half the circumference into half the diameter,...
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Hawney's Complete Measurer: Or, The Whole Art of Measuring: Being a Plain ...

William Hawney - Geometry - 1820 - 336 pages
...circumference of its inscribed polygon; hence the circle is always limited between these polygons. The area of a circle is equal to that of a triangle,...radius. Circles, like other similar plane figures, are in proportion to one another, as the squares of their diameters and the circumferences of circles,...
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Elements of the Philosophy of the Human Mind, Volume 2

Dugald Stewart - Psychology - 1821 - 348 pages
...may be expressed by the formula a = a 1 Or, to take a case yet stronger, when it is affirmed, that " the area of a circle is equal to that of a triangle having the circumference for its base, and the radins for its altitude ;" would it • I do not think,...
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The Glasgow Mechanics' Magazine; and Annals of Philosophy, Volume 1

1824 - 492 pages
...the Circle, he demonstrates the following theorem, which is of the greatest practical utility : That the area of a circle is equal to that of a triangle...circumference, and perpendicular equal to the radius. He also proved, That if the diameter of a circle be reckoned unity, the circumference will be between...
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Glasgow Mechanics' Magazine, and Annals of Philosophy, Volume 1

Industrial arts - 1824 - 492 pages
...the Circle, he demonstrates the following theorem, which is of the greatest practical utility : That the area of a circle is equal to that of a triangle whose lane is equal to the circumference, and perpendicular equal to the radius. He also proved, That if...
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The Works of Dugald Stewart: Elements of the philosophy of the human mind

Dugald Stewart - 1829 - 418 pages
...may be expressed by the formula a = a ? Or, to take a case yet stronger, when it is affirmed, that " the area of a circle is equal to that of a triangle having the circumference for its base, and the radius for its altitude ; " would it not be an obvious...
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