Plane Trigonometry for Colleges And Secondary Schools
Plane Trigonometry for Colleges And Secondary Schools
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In our eReader you can find the full English version of the book. Read Plane Trigonometry for Colleges And Secondary Schools Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Plane Trigonometry for Colleges And Secondary Schools
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Find the lengths of the sides and apo- thems of the inscribed regular triangle, quadrilateral, pentagon, hexagon, heptagon, and octagon. Compare the area of the circle and the areas of these regular polygons ; also compare the perimeters of the polygons and the circumference of the circle.
5. For the same circle as in Ex. 4, find the lengths of the sides of the circumscribing regular figures named in Ex. 4. Compare their areas and perimeters with the area and circumference of the circle.
6. If ...a be the side of a regular polygon of n sides, show that J?, the 180® radius of the circumscribing circle, is equal to ^ a cosec ; and that r, the 180® ** radius of the circle inscribed, is equal to } a cot -^.
n 7. If r be the radius of a circle, show that the side of the regular inscribed 180® polygon of n sides is 2 r sin :!-— ; and that the side of the regular circum- 180® ^ scribing polygon is 2 r tan , n 8. If a be the side of a regular polygon of n sides, B the radius of the cir- cumscribing circle, and r the radius of the circle inscribed, show that area of polygon = i na^ cot i?5!
What to read after Plane Trigonometry for Colleges And Secondary Schools?
You can find similar books in the "Read Also" column, or choose other free books by Daniel a Daniel Alexander Murray to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Find the lengths of the sides and apo- thems of the inscribed regular triangle, quadrilateral, pentagon, hexagon, heptagon, and octagon. Compare the area of the circle and the areas of these regular polygons ; also compare the perimeters of the polygons and the circumference of the circle.
5. For the same circle as in Ex. 4, find the lengths of the sides of the circumscribing regular figures named in Ex. 4. Compare their areas and perimeters with the area and circumference of the circle.
6. If ...a be the side of a regular polygon of n sides, show that J?, the 180® radius of the circumscribing circle, is equal to ^ a cosec ; and that r, the 180® ** radius of the circle inscribed, is equal to } a cot -^.
n 7. If r be the radius of a circle, show that the side of the regular inscribed 180® polygon of n sides is 2 r sin :!-— ; and that the side of the regular circum- 180® ^ scribing polygon is 2 r tan , n 8. If a be the side of a regular polygon of n sides, B the radius of the cir- cumscribing circle, and r the radius of the circle inscribed, show that area of polygon = i na^ cot i?5!
What to read after Plane Trigonometry for Colleges And Secondary Schools?
You can find similar books in the "Read Also" column, or choose other free books by Daniel a Daniel Alexander Murray to read onlineMoreLess
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