This paper presents a graphical procedure for the squaring of circle any radius. procedure, which is based on novel application involute profile, when applied to arbitrary radius (using only an unmarked ruler and compass), produced square equal in area given circle, 50 cm2. result was clear demonstration that not construction valid radius, but it also capable achieving absolute results (indepen...

We have isolated a member of the HNF-3/forkhead gene family in ascidians as a means to determine the role of winged-helix genes in chordate development. The MocuFH1 gene, isolated from a Molgula oculata cDNA library, exhibits a forkhead DNA-binding domain most similar to zebrafish axial and rodent HNF-3beta. MocuFH1 is a single copy gene but there is at least one other related forkhead gene in ...

Load-sharing among the teeth of involute splines is little understood. Designers typically assume only a fraction of the teeth are engaged and distribute the load uniformly over the assumed number of engaged teeth. This procedure can widely overor underestimate tooth loads. A new statistical model for involute spline tooth engagement has been developed and presented earlier, which takes into ac...

Information about the worms’ production technology of spiroid cylindrical gears is given. A method profile analytical calculation a disk abrasive tool proposed, providing possibility to grinding wheels for various types ruled helical surfaces: Archimedean, convolute, involute, etc. The use methodology makes it possible achieve high accuracy in processing active (working) side surfaces hardened ...

Firstly, a nonlinear control system based on the Riemannian manifold is defined from perspective of holism, and expression system's state equation in local coordinate given. The geometric structure discussed. influence systems studied. controllability observability Secondly, using properties involute distribution fully geodesic submanifolds, parts manifolds are Controllable structured decomposi...

| Gear theory is reexamined and we nd optimal shapes for gears. As optimality criteria, we allow: (1) minimal frictional losses (highest eeciency) assuming linear law of friction or (2) uniform maximum stress (it will wear out slowly and last the longest) assuming Hertzian contacts or (3) uniform maximal temperature, assuming we are in a high power limit in which all heat is removed by the lubr...