Metrical Geometry An Elementary Treatise On Mensuration
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To quickly assess the difficulty of the text, read a short excerpt:
63 a 3 - 121 x 1, 901, 592 = 230, 092, 632. . A 3 = 230, 092, 632 - 63 = 3, 652, 264.
/. A = 154 cubic centimeters. Ans.
75. To find the volume of any prism.
Kule : Multiply the altitude of the prism by the area of its base.
Formula : V. P --= aB.
90 MENSURATION.
Proof : For a three-sided prism this rule follows from 74, since any three-sided prism is half a parallelepiped of the same altitude, the base of the prism being half the base of this parallelepiped. To show this, let ABCafty be any th...ree-sided prism. Extend ing the planes of its bases, and through the edges Aa, Oy, drawing planes parallel to the sides, By, A/3, we have the parallelepiped ABCDaftyS, whose base A BCD is double the base ABC of the prism.
D Ww. 123 ; (En. I. 34 ; Cv. 1. 105).
Also, this parallelepiped it self is twice the prism. For, its two halves, the prisms, are congruent if its sides are all rectangles. If not, the prisms are symmetrical and equi valent. For, draw planes perpendicular to Aa at the points A and a.
What to read after Metrical Geometry An Elementary Treatise On Mensuration?
You can find similar books in the "Read Also" column, or choose other free books by George Bruce Halsted to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
63 a 3 - 121 x 1, 901, 592 = 230, 092, 632. . A 3 = 230, 092, 632 - 63 = 3, 652, 264.
/. A = 154 cubic centimeters. Ans.
75. To find the volume of any prism.
Kule : Multiply the altitude of the prism by the area of its base.
Formula : V. P --= aB.
90 MENSURATION.
Proof : For a three-sided prism this rule follows from 74, since any three-sided prism is half a parallelepiped of the same altitude, the base of the prism being half the base of this parallelepiped. To show this, let ABCafty be any th...ree-sided prism. Extend ing the planes of its bases, and through the edges Aa, Oy, drawing planes parallel to the sides, By, A/3, we have the parallelepiped ABCDaftyS, whose base A BCD is double the base ABC of the prism.
D Ww. 123 ; (En. I. 34 ; Cv. 1. 105).
Also, this parallelepiped it self is twice the prism. For, its two halves, the prisms, are congruent if its sides are all rectangles. If not, the prisms are symmetrical and equi valent. For, draw planes perpendicular to Aa at the points A and a.
What to read after Metrical Geometry An Elementary Treatise On Mensuration?
You can find similar books in the "Read Also" column, or choose other free books by George Bruce Halsted to read onlineMoreLess
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