If a number of equal spheres be described with their centres placed in two parallel layers; with the centre of each sphere at the distance of radius x sqrt(2) or radius x 1.41421 (or at some lesser distance), from the centres of the six surrounding spheres in the same layer; and at the same distance from the centres of the adjoining spheres in the other and parallel layer; then, if planes of intersection between the several spheres in both layers be formed, there will result a double layer of hexagonal prisms united together by pyramidal bases formed of three rhombs; and the rhombs and the sides of the hexagonal prisms will have every angle identically the same with the best measurements which have been made of the cells of the hive-bee.
It was really curious to note in cases of difficulty, as when two pieces of comb met at an angle, how often the bees would entirely pull down and rebuild in different ways the same cell, sometimes recurring to a shape which they had at first rejected.
He advanced towards the
angle, and summoning all his resolution, attacked the ground with the pickaxe.
Caption: Figure 5: An example of the same tilt
angle but with different slant
angles.
The measurement of contact
angles between solid surfaces and droplets is a procedure performed by researchers to evaluate the cleanability of droplets.
In mathematics,
angles are particularly difficult concepts for students to grasp and students often develop many misconceptions and difficulties (Clements & Battista, 1989; Mitchelmore, 2002).
In another study the results indicated that approximately 93% of the variation of the Wits appraisal could be explained by the variation of the ANB, Sella-Nasion line and SNA
angles. The study also showed that the ANB
angle and the Wits appraisal, cannot be directly compared.
Some studies confirmed the clinical application of panoramic radiographs for measuring the gonial
angle, since there is no superimposition on the left and right sides of gonial
angles on panoramic radiographs.9, 18-20
Property 1: The
angles at the centre and at the circumference of a circle subtended by same arc.
Regarding the importance of the lumbar region in body posture,
angles between the sacral and lumbar regions are of clinical significance.