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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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The Works of Dugald Stewart: Elements of the philosophy of the human mind

Dugald Stewart - 1829 - 442 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 radius for its altitude ; " would it not be an obvious...
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The millwright & engineer's pocket companion

William Templeton (engineer.) - 1833 - 224 pages
...another contains four times the area of the other. 4. — The area of a circle is equal to the area of a triangle whose base is equal to the circumference, and perpendicular equal to the radius. 6. — The area of a circle is to the square of the diameter as .7854 to 1 ; or, Multiply half the...
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The Penny Cyclopædia of the Society for the Diffusion of Useful ..., Volume 2

Encyclopedias and dictionaries - 1834 - 566 pages
...a given ratio to its inscribed cone. 2. On the Measurement of the Circle.— It is here shown that the area of a circle is equal to that of a triangle which has the circumference for its base and the radius for its altitude, and also that the circumference...
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The Penny Cyclopaedia of the Society for the Diffussion of Useful ..., Volume 2

1834 - 576 pages
...a given ratio to its inscribed -cone. 2. On the Measurement of the Circle.— It is here shown that the area of a circle is equal to that of a triangle which has the circumference for its base and the radius for its alti tude, and also that the circumference...
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A complete treatise on practical land-surveying

Thomas Holliday - Surveying - 1838 - 404 pages
...circumference of the circle, and height its radius. 14. The area of a circle is equal to that of a rectangle, whose base is equal to the circumference, and perpendicular equal to the radius. Examples. 1. The diameter of a 'circular garden is 58 feet, what is the area in square yards ? Here...
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A Treatise on Geometry and Its Application in the Arts

Dionysius Lardner - Curves, Plane - 1840 - 386 pages
...length of its side by half the circumference of its base. (438.) The area of the surface of a right cone is equal to that of a triangle whose base is equal to the circumference of the base of the cone, and whose altitude is equal to the side of the cone. (439.) If a cone he cut...
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Plane Trigonometry and Mensuration for the Use of the Royal Military College

William Scott - Measurement - 1845 - 288 pages
...the altitude, and 2 irr, the base of a triangle, rx -^P expresses the area of the triangle. Whence the area of a circle is equal to that of a triangle whose base is equal to the circumference, and its altitude to the radius of the circle. Examples. 1st. Given d— 12: required s. Ans. 8=113.0976....
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Cyclopædia of useful arts & manufactures, ed. by C. Tomlinson. 9 divs, Volume 2

Cyclopaedia - 1852 - 256 pages
...length of its side, by half the eireumferenee of its base. The area of the surfaee of a right eone, is equal to that of a triangle, whose base is equal to the eireumferenee of the base of the eone, and whoso altitnde is equal to the side of the eone. If a eone...
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The Collected Works of Dugald Stewart, Esq. F.R.SS.: Elements of the ...

Dugald Stewart - 1854 - 454 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 Collected Works of Dugald Stewart, Esq., F.R.SS., ...: Elements of the ...

Dugald Stewart - 1854 - 450 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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