Remarks on the Surface Area and Equality Conditions in Regular Forms Part II: Quadratic Prisms

被引:3
|
作者
Elkhateeb, Ahmed A. [1 ]
Elkhateeb, Esraa A. [2 ]
机构
[1] King Abdulaziz Univ, Dept Architecture, Fac Environm Designs, Jeddah 21413, Saudi Arabia
[2] Ain Shams Univ, Fac Sci, Dept Phys, Cairo, Egypt
关键词
Trigonometry; Algebra; Differential equations; Volume; Area; Total surface area; Perimeter; Regular polygons; Right quadratic prisms; Minimum total surface area; Walls ratio; Numerical equality;
D O I
10.1007/s00004-014-0195-7
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
Following the same methodology and rules that were previously applied in Part I of this work, this part presents the remarks of the mathematical analysis for the regular quadratic right prisms. These include the rectangular and isosceles trapezoidal rooms. The first remark examines the effect of theta (or theta and beta) on S. The second remark calculates the minimum total surface area (S-Min) in two cases, case of constant theta (or theta and beta) and case of variable theta (or theta and/or beta). The third remark calculates the two ratios R-W and R (Wo) . The last remark studies the required conditions for the numerical equality between (Per-Ar), and (S-V).
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页码:467 / 485
页数:19
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