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" ... himself closely to the measuring of them, as well as other figures. Accordingly he determined the relations of spheres, spheroids, and conoids to cylinders and cones ; and the relations of parabolas to rectilineal planes, whose quadratures had long... "
A Treatise on Mensuration: Both in Theory and Practice - Page 86
by Charles Hutton - 1770 - 646 pages
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Elements of Plane Trigonometry: In which is Introduced, a Dissertation on ...

Francis Maseres - Mathematics - 1760 - 534 pages
...whofe bafe is equal to it's perimeter and altitude to the radius of the circle, and the area of the circle is equal to a right-angled triangle, whofe bafe is equal to its circumference and altitude to its radius, it follows (by El. 6. i.) that the area of the circumfcribed...
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A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the ...

Thomas Malton - 1774 - 484 pages
...Circumference) and its Perpendicular (equal the Radius) is equal to the Circle. And confequentlv, a Triangle whofe Bafe is equal to the Circumference, and its Altitude equal to the Radius, is alfo equal to the Circle; for every Triangle is equal to half a Reftangle of the fame Bale and Altitude...
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A New and Enlarged Military Dictionary: Or, Alphabetical Explanation of ...

Charles James - English language - 1805 - 1236 pages
...rectilineal planes whose quadratures had long before been determined by Euclid. He hath left us also his attempts upon the circle : he proved that a circle is equal to a right angled triangle, whose base is equal to the circumference, and its altitude equal to the radius...
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The British Encyclopedia, Or Dictionary of Arts and Sciences ..., Volume 1

William Nicholson - Natural history - 1809 - 716 pages
...rectilineal p'anes whose quadratures had long before been determined by Euclid. He has left us also his attempts upon the circle : he proved that a circle is equal to a right' angled triangle, whose base is equal to the circumference, and its altitude equal to the radius...
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A Military Dictionary: Or, Explaination of the Several Systems of Discipline ...

William Duane - Electronic books - 1810 - 774 pages
...rcctilinc?! planes whose quadratuKs had long before been determined by Euclid. He hath left us also his attempts upon the circle: he proved that a circle is equal to a right an» ¿led triangle, whose base is equal to the circumference, and its altitude equal to the...
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The General Biographical Dictionary: Containing an Historical and ..., Volume 2

Alexander Chalmers - Biography - 1812 - 544 pages
...rectilineal planes, whose quadratures had long before been determined by Euclid. He has also left us his attempts upon the circle ; he proved that a circle is equal to a right-angled triangle, whose base T« equal to the circumference, and its altitude equal to the radius ; and consequently,...
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American Edition of the British Encyclopedia: Or, Dictionary of ..., Volume 1

William Nicholson - Arts - 1819 - 432 pages
...rcctilinealplancs, whose quadratures had long before been determined by Euclid. He has left us ulso his attempt* upon the circle : he proved that a circle is equal to a right-angled triangle whose base is equal to the circumference, and its altitude equal to the radius : and consequently,...
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A New Universal Biography: First series, from the creation to the birth of ...

John Platts - Biography - 1825 - 1006 pages
...rectilineal planes, whose quadratures had long before been determined by Euclid. He has left us also his attempts upon the circle ; he proved that a circle is equal to a right angled triangle, whose base is equal to the circumference, and its altitude equal to the radius...
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A Familiar Introduction to the Arts Sciences: With Original Introductory ...

Jeremiah Joyce - Science - 1852 - 430 pages
...rectilineal planes, whose quadratures had long before been determined by Euclid. He has left us also his attempts upon the circle ; he proved that a circle is equal to a right-angled triangle, whose base is equal to the circumference, and its altitude equal to the radius ; and consequently that...
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