Geometry Sample Clauses

Geometry. 2 All fill and cut slopes along the longitudinal axis of bridges with spill through abutments must not 3 be steeper than 2:1 (H:V). Slopes steeper than 3:1 must have concrete slope paving with 4 exposed aggregate surface. 5 Vertical clearances must be in accordance with TP Attachment 440-1.

Geometry. The total surface area and shape of the reflective part used shall be such that in each direction, corresponding to one of the areas defined in the figure below, visibility is ensured by a surface area of at least 18 cm2 of simple shape and measured by application on a plane. In each surface area of minimum 18 cm2 it shall be possible to ▇▇▇▇: either a circle of 40 mm diameter; or, a rectangle at least 12.5 cm2 in surface area and at least 20 mm in width. Each of these surfaces shall be situated as near as possible to the point of contact with the shell of a vertical plane parallel to the longitudinal vertical plane of symmetry, to the right and to the left, and as near as possible to the point of contact with the shell of a vertical plane perpendicular to the longitudinal plane of symmetry, to the front and to the rear.

Geometry. An understanding of the attributes and relationships of geometric objects can be applied in diverse contexts—interpreting a schematic drawing, estimating the amount of wood needed to frame a sloping roof, rendering computer graphics, or designing a sewing pattern for the most efficient use of material. Although there are many types of geometry, school mathematics is devoted primarily to plane Euclidean geometry, studied both synthetically (without coordinates) and analytically (with coordinates). Euclidean geometry is characterized most importantly by the Parallel Postulate that through a point not on a given line there is exactly one parallel line. (Spherical geometry, in contrast, has no parallel lines.) During high school, students begin to formalize their geometry experiences from elementary and middle school, using more precise definitions and developing careful proofs. Later in college some students develop Euclidean and other geometries carefully from a small set of axioms. The concepts of congruence, similarity, and symmetry can be understood from the perspective of geometric transformation. Fundamental are the rigid motions: translations, rotations, reflections, and combinations of these, all of which are here assumed to preserve distance and angles (and therefore shapes generally). Reflections and rotations each explain a particular type of symmetry, and the symmetries of an object offer insight into its attributes—as when the reflective symmetry of an isosceles triangle assures that its base angles are congruent. In the approach taken here, two geometric figures are defined to be congruent if there is a sequence of rigid motions that carries one onto the other. This is the principle of superposition. For triangles, congruence means the equality of all corresponding pairs of sides and all corresponding pairs of angles. During the middle grades, through experiences drawing triangles from given conditions, students notice ways to specify enough measures in a triangle to ensure that all triangles drawn with those measures are congruent. Once these triangle congruence criteria (ASA, SAS, and SSS) are established using rigid motions, they can be used to prove theorems about triangles, quadrilaterals, and other geometric figures. Similarity transformations (rigid motions followed by dilations) define similarity in the same way that rigid motions define congruence, thereby formalizing the similarity ideas of "same shape" and "scale factor" developed in ...

Geometry. When dealing with CFD simulations the volume occupied by the fluid must be modeled, and it is referred as the fluid domain. The entire volume compressed by the fluid domain is shown on the left of Figure 3, whereas on the right side, a section plain with different parts named in order to match the description given in the previous chapter can be observed. Details regarding the dimensions of the model can be found in the Appendix A. The burner nozzle is composed of two different volumes, which correspond to the oxygen flow and the fuel flow. As explained in the previous Chapter, both streams reach the pre-combustor where the two streams start mixing. Finally, where the pre-combustor ends, the furnace chamber starts. A square section for the outlet has been chosen rather than a circular one to simplify the meshing process. Given the symmetry with respect to the top and right planes, only a quarter of the volume, shown in Figure 3, has been modeled, being able then to achieve high levels of mesh refinement, and therefore a more accurate solution, while keeping the CPU load at a reasonable levels. Thus, the geometry that has been finally created with the ANSYS Design Modeler [12], and the starting point for further steps, is the one presented on Figure 4.

Geometry. ‌ The K3 surface Xd : w2 = x6 + y6 + z6 + dx2y2z2, (4.1) over K : = k(d), is a double cover of P2 , branched along the sextic curve Cd : x6 + y6 + z6 + dx2y2z2 = 0, via projection map π : X → P2 defined by π([w : x : y : z]) = [x : y : z]. We will pull back divisors on P2 via this map, thus producing divisors on X. Given an irreducible divisor D on P2 , we can compute the pullback as follows. Firstly, write π–1(D) = [ Di ∪ [ E j, j=1 as a union of prime divisors on X, where the π(Di) are dense in D and the π(Ej) are not. Then X π∗(D) = eiDi, i=1 where the ei are the ramification indices at Di, having the property that,

Geometry. Maintain the horizontal and vertical alignments, and superelevation rates provided on the conceptual drawings .

Geometry. Geometric schemes. Geometric figures and solids.

Geometry. Design the structure according to the geometrics shown on the Conceptual TS&L Plans, except changes will be allowed as follows:

Geometry a. Rotor core shall be same as that of finished rotor. b. Linear with three or four lobes to provide a near pulseless flow.