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Given any such interpretation of a set of points as complex numbers, the points constructible using valid straightedge-and-compass constructions alone are precisely the elements of the smallest field containing the original set of points and closed under the complex conjugate and square root operations (to avoid ambiguity, we can specify the ...
Coursed masonry construction arranges units in regular courses. Oppositely, coursed rubble masonry construction uses random uncut units, infilled with mortar or smaller stones. [1] If a course is the horizontal arrangement, then a wythe is a continuous vertical section of masonry [2] one unit in thickness. A wythe may be independent of, or ...
A plumb bob, plumb bob level, or plummet, is a weight, usually with a pointed tip on the bottom, suspended from a string and used as a vertical direction as a reference line, or plumb-line. It is a precursor to the spirit level and used to establish a vertical datum. It is typically made of stone, wood, or lead, but can also be made of other ...
root-mean-square flatness deviation; The two-dimensional measures above find one-dimensional counterparts in straightness measures, [5] defined by ISO 12780 on a cross-section (the plane curve resulting from the intersection of the surface of interest and a plane spanned by the surface normal): least squares reference line; minimum zone ...
Colorado Street Bridge, an example of a false skew arch. The strength of a regular arch (also known as a "square" or "right" arch) comes from the fact that the mass of the structure and its superincumbent load cause lines of force that are carried by the stones into the ground and the abutments without producing any tendency for the stones to slide with respect to one another.
The square root of 2 is equal to the length of the hypotenuse of a right triangle with legs of length 1 and is therefore a constructible number. In geometry and algebra, a real number is constructible if and only if, given a line segment of unit length, a line segment of length | | can be constructed with compass and straightedge in a finite number of steps.
A chalk line or chalk box is a tool for marking long, straight lines on relatively flat surfaces, much further than is practical by hand or with a straightedge. They may be used to lay out straight lines between two points, or vertical lines by using the weight of the line reel as a plumb line .
Underside of a groin vault showing the arris. In architecture, an arris is the sharp edge formed by the intersection of two surfaces, such as the corner of a masonry unit; [1] the edge of a timber in timber framing; the junction between two planes of plaster or any intersection of divergent architectural details.