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" To find the side of an equilateral triangle inscribed in a circle, multiply the diameter of the circle by .866. "
The Elements of Analytical Geometry ... - Page 31
by John Radford Young - 1835 - 288 pages
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A Treatise on Algebra: In Practice and Theory, ... with Notes and ..., Volume 2

John Bonnycastle - Algebra - 1813 - 444 pages
...the difference between the other two sides (7), to find these sides(y). Ans. 5 and 12 PROBLEM III. To find the side of an equilateral triangle, inscribed in a circle, whose diameter is d; and that of another circumscribed about the same circle. Ans. dV3, and PROBLEM IV. To...
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An Introduction to Algebra: With Notes and Observations : Designed for the ...

John Bonnycastle - Algebra - 1818 - 326 pages
...the difference between the other two sides -(7), to find these sides (/). Ans. 6 and 12 PROBLEM III. To find the side of an equilateral triangle, inscribed in a circle, whose diameter is d ; and that of another circumscribed about the same circle. Ans. -fd^/3, and J PROBLEM...
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An Introduction to Algebra: With Notes and Observations, Designed for the ...

John Bonnycastle - Algebra - 1825 - 336 pages
...and the difference between the other two sides (7), to find these sides.* Ans. 5 and 12 PROBLEM IH. To find the side of an equilateral triangle, inscribed in a circle whos^ diameter is d ; and that of another circumscribed about the same circle. Ans. PROBLEM IV. To...
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The Elements of Analytical Geometry ...

John Radford Young - Conic sections - 1833 - 310 pages
...consequently x — a + i6 ± % V (62— 4a6 -4a2), and y = a+ *b T i V (62— 4a6-4a2). PROBLEM LXIV. To find the side of an equilateral triangle, inscribed in a circle, whose diameter is d ; and that of another circumscribed about the same circle. Let AFGC be the given circle,...
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Arithmetic on the Productive System: Accompanied by a Key and Cubical Blocks

Roswell Chamberlain Smith - Arithmetic - 1843 - 320 pages
...the diameter by 3.14159 : or the area by 12.56636217, and extract the square root of the product. 3. To find the side of an equilateral triangle inscribed in a circle -.—Multiply the diameter by .866024, or the circumference fty.2756646. 2. To find the side of a square...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 894 pages
...find the side of a square, inscribed in a given semicircld whose diameter is d. . 1 Ans. — D Ex. 2. To find the side of an equilateral triangle inscribed in a circle whose diameter i« d ~, ami that of another circumscribed about the same circle. Ans. %dv/3, and dv/3 Ex....
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Higher Geometry and Trigonometry: Being the Third Part of a Series on ...

Nathan Scholfield - Geometry - 1845 - 506 pages
...the side of a square, inscribed in a given semicircle, whose diameter is A . 1 , Ans. -rav/5 D Ex. 2. To find the side of an equilateral triangle inscribed in a circle whose diameter is d ; and that of another circumscribed about the same circle. Ans. ?d</3, and d^/3 Ex. 3....
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A Series on Elementary and Higher Geometry, Trigonometry, and Mensuration ...

Nathan Scholfield - Conic sections - 1845 - 542 pages
...side of a square, inscribed in a given semicircle, whose diameter is d. 1 Ans. —a •/ 5 5 Ex. 2. To find the side of an equilateral triangle inscribed in a circle whose diameter is d ; and that of another circumscribed about the same circle. Ans. ^d^/3, and d^/3 Ex. 3....
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The Elements of Analytical Geometry: Comprehending the Doctrine of the Conic ...

John Radford Young - Geometry, Analytic - 1848 - 300 pages
...consequently x = a + ±b ± i V (i2— 4a6 — 4a2), and y - a+ J b :fj V (6s— 4o6-4a2l. PROBLEM LXIV. To find the side of an equilateral triangle, inscribed in a circle, whose diameter is d ; and that of another circumscribed about the .same circle. Let AFGC be the given circle,...
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The Mechanic's Assistant: A Thorough Practical Treatise on Mensuration and ...

D. M. Knapen - Measurement - 1849 - 300 pages
...example being the reverse of example 16th, under the area found on C, will be found the diameter on D. To find the side of an equilateral triangle inscribed in a circle : — From the square of the diameter of the circle, subtract the square of the radius, and the square...
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