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" 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. %di/3, and di/3. PROBLEM IV. To find the side of a regular pentagon, inscribed in a circle, whose diameter... "
A Treatise on Algebra: In Practice and Theory, ... with Notes and ... - Page 329
by John Bonnycastle - 1813
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An Introduction to Algebra: With Notes and Observations : Designed for the ...

John Bonnycastle - 1818 - 284 pages
...right angled triangle, and the difference between the other two sides (7), to find these sides (/). Ans. 5 and 12 PROBLEM III. To find the side of an...of another circumscribed about the same circle Ans. i^v/3, and d^/3 PROBLEM IV. To find the side of a regular pentagon, inscribed in a circle, whose diameter...
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An Introduction to Algebra: With Notes and Observations : Designed for the ...

John Bonnycastle - 1818 - 326 pages
...angled triangle, and 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...another circumscribed about the same circle. Ans. -fd^/3, and J PROBLEM iv. To find the side of a regular pentagon, i circle, whose diameter is d. Ans....
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1819 - 444 pages
...OD = DB. (24.) The perpendicular from the vertex on the base of an equilateral triangle is equal to the side of an equilateral triangle inscribed in a circle, whose diameter is the base. From C the vertex, let CO be drawn perpendicular to AB, the base of the equilateral triangle...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1819 - 442 pages
...OD = DB. (24.) The perpendicular from the vertex on the base of an equilateral triangle is equal to the side of an equilateral triangle inscribed in a circle, whose diameter is the base. From C the vertex, let CO be drawn perpendicular to AB, the base of the equilateral triangle...
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An Introduction to Algebra: With Notes and Observations, Designed for the ...

John Bonnycastle - 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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An Introduction to Algebra, with Notes and Observations: Designed for the ...

John Bonnycastle - 1829 - 372 pages
...and the difference between the other two sides (7), to find these sides'*. Ans. 5 and 12. PROBLEM in. To find the side of an equilateral triangle, inscribed in a circle whose diameter is rf ; and that of another circumscribed about the same circle. Ans. i^v/3, and d</3. PROBLEM IV. To...
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The Elements of Analytical Geometry ...

John Radford Young - 1833 - 310 pages
...= |r( v'S— 1) /. by substitution, «2= r2 4- ir2 (6 — 2^/5) . ANALYTICAL GEOMETRY. PROBLEM XIX. To find the side of an equilateral triangle inscribed in a circle, whose radius is (a), and that of another circumscribed about the same circle. Suppose ABC an equilateral...
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The Elements of Analytical Geometry ...

John Radford Young - 1835 - 298 pages
...to the square of the side of a regular decagon, together with the square of the radius. PROBLEM XIX. To find the side of an equilateral triangle inscribed in a circle, whose radius is (a), and that of another circumscribed about the same circle. Suppose ABC an equilateral...
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An introduction to algebra. To which is added an appendix containing a ...

John Bonnycastle - 1836 - 296 pages
...right-angled triangle, and the difference between the other two sides (7), to find these sides.f Am. 5 and 13. PROBLEM III. To find the side of an equilateral triangle,...another circumscribed about the same circle. Ans. Jd^/3, and PROBLEM IV. To find the side of a regular pentagon, inscribed in a circle whose diameter...
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An Introduction to Algebra: With Notes and Observations : Designed for the ...

John Bonnycastle - 1837 - 296 pages
...and the difference between the other two sides (7), to find these sides.f Ans. 5 and 12. PROBLEM in. To find the side of an equilateral triangle, inscribed...another circumscribed about the same circle. Ans. %di/3, and di/3. PROBLEM IV. To find the side of a regular pentagon, inscribed in a circle, whose diameter...
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