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Initially, this sociology is interested in technical matters. While buildings (as art and technic) are not in the core of this discipline. The perspective of architecture as artifact would be the question of 'interactions' between architecture and subject: how a very specific architecture suggests certain ways, movements, perceptions.
Equally is the debate where architecture should be based on traditional topology and design styles i.e. classical and vernacular base architecture or if it should be an expression of its time. The same issues are indicated within the industrial design domain where it has been debated if retro design should be accepted or not as good design.
Ptolemy's theorem states that the sum of the products of the lengths of opposite sides is equal to the product of the lengths of the diagonals. When those side-lengths are expressed in terms of the sin and cos values shown in the figure above, this yields the angle sum trigonometric identity for sine: sin(α + β) = sin α cos β + cos α sin β.
However, architecture has existed far longer, with the first surviving written work on the subject known as De architectura, written by Roman architect and engineer Marcus Vitruvius Pollio between 30 and 15 BCE. [5] Here, Vitruvius detailed the three principals of architecture firmitas, utilitas, venustas.
The values of sine and cosine of 30 and 60 degrees are derived by analysis of the equilateral triangle. In an equilateral triangle, the 3 angles are equal and sum to 180°, therefore each corner angle is 60°. Bisecting one corner, the special right triangle with angles 30-60-90 is obtained.
The point of perspective for the orthographic projection is at infinite distance. It depicts a hemisphere of the globe as it appears from outer space , where the horizon is a great circle . The shapes and areas are distorted , particularly near the edges.
The following outline is provided as an overview of and topical guide to the discipline of sociology: . Sociology – the study of society [1] using various methods of empirical investigation [2] and critical analysis [3] to understand human social activity, from the micro level of individual agency and interaction to the macro level of systems and social structure.
Euler's formula states that, for any real number x, one has = + , where e is the base of the natural logarithm, i is the imaginary unit, and cos and sin are the trigonometric functions cosine and sine respectively. This complex exponential function is sometimes denoted cis x ("cosine plus i sine").