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" ... base. For the area of a circle is equal to the product of half the diameter into half the circumference ; (Art. "
A Treatise of Plane Trigonometry, and the Mensuration of Heights and ... - Page 27
by Jeremiah Day - 1855 - 237 pages
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A Practical Application of the Principles of Geometry to the Mensuration of ...

Jeremiah Day - Measurement - 1815 - 388 pages
...diameter; and therefore, the convex surface of a hemisphere is equal to twice the area of its base. For the area of a circle is equal to the product of half the diameter into half the circumference ; (Art. 30.) that is, to i the product of the diameter and circumference. Cor. 3. The surface of a...
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The Second [-fifth and Sixth] Part of A Course of Mathematics: Adapted to ...

Jeremiah Day - Geometry - 1824 - 440 pages
...diameter ; and therefore, the convex surface of a hemisphere is equal to twice the area of its base. For the area of a circle is equal to the product of half the diameter into half the circumference ; (Art. 30.) that is, to £ the product of the diameter and circumference. Cor. 3. The surface of a...
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The Principles of Plane Trigonometry, Mensuration, Navigation and Surveying

Jeremiah Day - Measurement - 1831 - 520 pages
...INTO HALF THE CIRCUMFERENCE. Or, multiply the whole diameter into the whole circumference, and take i of the product. The area of a circle is equal to the...circumference; (Sup. Euc. 5, 1.) or which is the same thing, { the product of the diameter and circumference. If the diameter be 1 , the circumference is 3.14159;...
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The Principles of Plane Trigonometry, Mensuration, Navigation and Surveying ...

Jeremiah Day - Measurement - 1831 - 394 pages
...diameter ; and therefore, the convex surface of a hemisphere is equal to twice the area of its base. For the area of a circle is equal to the product of half the diameter into half the circumference ; (Art. 30.) that is, to I the product of the diameter and circumference. Cor. 3. The surface of a...
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A Treatise of Plane Trigonometry: To which is Prefixed a Summary View of the ...

Jeremiah Day - Logarithms - 1831 - 418 pages
...diameter ; and therefore, the convex surface of a hemisphere is equal to twice the area of its base. For the area of a circle is equal to the product of half the diameter into half the circumference ; (Art. 30.) that is, to -J the product of the diameter and circumference. Cor. 3. The surface of a...
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The Principles of Plane Trigonometry, Mensuration, Navigation and Surveying ...

Jeremiah Day - Measurement - 1836 - 418 pages
...INTO HALF THE CIRCUMFERENCE. Or, multiply the whole diameter into the whole circumference, and take J of the product. The area of a circle is equal to the...diameter be 1, the circumference is 3.14159; (Art. 23.) one fourth of which is 0.7854 nearly. But the areas of different circles are to each other, as the...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 394 pages
...But the expression £or the area will then become i • area OA— £OA x circ. OA : consequently, the area of a circle is equal to the product of half the radius into the circumference. • * Cor. 1. The area of a sector is equal to the arc of that sector...
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A Course of Mathematics: Containing the Principles of Plane ..., Volumes 1-3

Jeremiah Day - Geometry - 1838 - 416 pages
...diameter ; and therefore, the convex surface of a hemisphere is equal to twice the area of its base. For the area of a circle is equal to the product of half the diameter into half the circumference ; (Art. 30.) that is, to i the product of the diameter and circumference. Cor. 3. The surface of a...
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First Lessons in Geometry: With Practical Applications in Mensuration, and ...

Charles Davies - Geometrical drawing - 1840 - 262 pages
...circle greater than its diameter 1 If the diameter is 1 what is the circumference 7 Of the Circle. 37. The area of a circle is equal to the product of half the radius, into the circumference. Thus, the area of the circle, Avhose centre is C, is equal to half...
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A Practical System of Mensuration of Superficies and Solids ...

J. M. Scribner - Measurement - 1844 - 130 pages
...entire surface. Consequently, the area of a hemisphere is equal to twice the area of the base. For the area of a circle is equal to the product of half the diameter into half the circumference, or, what is the same in the result, ^ of the product of the diameter and circumference. Therefore,...
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