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" Or, multiply the whole diameter into the whole circumference, and take i of the product. The area of a circle is equal to the product of half the diameter into half the circumference; (Sup. Euc. 5, 1.) or which is the same thing, { the product of the... "
The Principles of Plane Trigonometry, Mensuration, Navigation and Surveying - Page 7
by Jeremiah Day - 1831 - 370 pages
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A Practical Application of the Principles of Geometry to the Mensuration of ...

Jeremiah Day - Measurement - 1815 - 388 pages
...AREA of a CIRCLE. 30. Multiply the square of the diameter by the decimals . T8 54. 9r, Multiply half the diameter into half the circumference. Or, multiply...i of the product. •• . , . • . The area of a circte is equal to the product of half the diameter into half the circumference; (Sup. Euc. 5, 1.)...
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The Second [-fifth and Sixth] Part of A Course of Mathematics: Adapted to ...

Jeremiah Day - Geometry - 1824 - 440 pages
...MULTIPLY THE SQUARE OF THE DIAMETER BY THE DECIMALS .7854. Or, MULTIPLY HALF THE DIAMETER INTO UALF THE CIRCUMFERENCE. Or, multiply the whole diameter into the whole circumference, and take \ of the product. The area of a circle is equal to the product of half the diameter into half the circumference...
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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 Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...the area of a circle. Multiply the square of the diameter by the decimals .7854. Or, multiply half the diameter into half the circumference. Or, multiply...the whole circumference;, and take i of the product. To find the area of a sector of a circle. Multiply the radius into half the length of the arc. Or,...
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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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A Course of Mathematics: Containing the Principles of Plane ..., Volumes 1-3

Jeremiah Day - Geometry - 1839 - 434 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 A 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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Elements of Drawing and Mensuration Applied to the Mechanic Arts: A Book for ...

Charles Davies - Geometrical drawing - 1846 - 254 pages
...If the diameter is 1, the circumference will be 3.1416. 53. What is the area of a circle equal to ? The area of a circle is equal to the product of half the radius, into the circumference. Thus, the area of the circle whose centre is C, is equal to half the...
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