| 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... | |
| 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... | |
| 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... | |
| 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,... | |
| 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... | |
| 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.... | |
| 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.... | |
| 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.... | |
| 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,... | |
| 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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