We have seen that a true simple-harmonic vibration may be regarded as theorthogonal projection of uniform circular motion; it was pointed out by P.
In the first place, each of these figures may be conceived as an orthogonal projection of a closed plane-faced polyhedron.
If we imagine a point Q to describe a circle of radius a with the angular velocity [sigma], its orthogonal projection P on a fixed diameter AA' will execute a vibration of this character.
Again, since the shortest distance between any two conjugate lines cuts the central axis at right angles, the orthogonal projections of two conjugate lines on a plane perpendicular to the central axis will be parallel (fig.
If we project both polyhedra orthogonally on a plane perpendicular to the axis of the paraboloid, we obtain two figures which are reciprocal, except that corresponding lines are orthogonal instead of parallel.
The work done by a force acting on a particle, in any infinitely small displacement, is defined as the product of the force into the orthogonal projection of the displacement on the direction of the force; i.
Clerk Maxwell, who showed amongst other things that a reciprocal can always be drawn to any figure which is the orthogonal projection of a plane-faced polyhedron.
We may describe, through all the points in an electric field which have the same potential, surfaces called equipotential surfaces, and these will be everywhere perpendicular or orthogonal to the lines of electric force.
Orthogonal trajectories of the converging sections of a cylinder.
The intersection of this conoid by a cylinder about the same axis is an orthogonal trajectory for a series of parallel sections.
True and principal properties of the orthogonal trajectories of the parallel sections of an elliptical or circular cylinder.
Right conoid, having for directrices the axis of the circular cylinder and an orthogonal trajectory.
There exists upon every surface two systems of orthogonal lines, such that every straight line subject to move by gliding over either of them, and remaining normal to the surface, will engender a developable surface.
A younger and shorter stolon was supported so that it projected at about 45o above the horizon, and its movement was traced by the sameorthogonal method.
During a part of the 20th anorthogonal tracing was made by applying a cube of wood to the vertical glass and bringing the apex of the stolon at successive periods into a line with one edge; a dot being made each time on the glass.
In order to discover the form of the stream of current lines we have to determine the orthogonal trajectories to this family of coaxial circles.
It is objected to on the ground that it has no character of precision, and that photographs of the skull have the common defect of being central, not orthogonal projections, such as anthropometry requires.
I have already mentioned the want of precision in photographing the skull, the common defect being central not orthogonal projection such as anthropometry requires.
