A Treatise of Plane Trigonometry And the Mensuration of Heights And Distances T
A Treatise of Plane Trigonometry And the Mensuration of Heights And Distances T
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In our eReader you can find the full English version of the book. Read A Treatise of Plane Trigonometry And the Mensuration of Heights And Distances T 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 A Treatise of Plane Trigonometry And the Mensuration of Heights And Distances T
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66. MULTIPLY THE AREA OF THE BASE INTO OF THE HEIGHT.
The solidity of a cylinder is equal to the product of the base into the perpendicular height. (Art. 64. ) And if a cone and a cylinder have the same base and altitude, the cone is $ of the cylinder. (Sup. Euc. 18. 3. )* Or if a cone be con- sidered as a pyramid of an infinite number of sides, the so- lidity is equal to the product of the base into -J of the height, by Art. 48.
Ex. 1. What is the solidity of a right cone whose height is 663, ...and the diameter of whose base is 101 ?
Ans. LoT a X. 7854x221 = * Thomson's Legendre, 4. 8. Cor.
62 MENSURATION OF THE CONE.
2. If the axis of an oblique cone be 738, and make an angle of 30 with the plane of the base ; and if the circum- ference of the base be 355, what is the solidity ?
Ans. 1233536.
PROBLEM V.
To find the CONVEX SURFACE of a FRUSTUM of a right cone. 67. MULTIPLY HALF THE SLANT-HEIGHT BY THE SUM OP THE PERIPHERIES OF THE TWO ENDS.
This is the rule for a frustum of a pyramid ; (Art.
What to read after A Treatise of Plane Trigonometry And the Mensuration of Heights And Distances T?
You can find similar books in the "Read Also" column, or choose other free books by Jeremiah Day to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
66. MULTIPLY THE AREA OF THE BASE INTO OF THE HEIGHT.
The solidity of a cylinder is equal to the product of the base into the perpendicular height. (Art. 64. ) And if a cone and a cylinder have the same base and altitude, the cone is $ of the cylinder. (Sup. Euc. 18. 3. )* Or if a cone be con- sidered as a pyramid of an infinite number of sides, the so- lidity is equal to the product of the base into -J of the height, by Art. 48.
Ex. 1. What is the solidity of a right cone whose height is 663, ...and the diameter of whose base is 101 ?
Ans. LoT a X. 7854x221 = * Thomson's Legendre, 4. 8. Cor.
62 MENSURATION OF THE CONE.
2. If the axis of an oblique cone be 738, and make an angle of 30 with the plane of the base ; and if the circum- ference of the base be 355, what is the solidity ?
Ans. 1233536.
PROBLEM V.
To find the CONVEX SURFACE of a FRUSTUM of a right cone. 67. MULTIPLY HALF THE SLANT-HEIGHT BY THE SUM OP THE PERIPHERIES OF THE TWO ENDS.
This is the rule for a frustum of a pyramid ; (Art.
What to read after A Treatise of Plane Trigonometry And the Mensuration of Heights And Distances T?
You can find similar books in the "Read Also" column, or choose other free books by Jeremiah Day to read onlineMoreLess
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