1. A machining tool with a cutting surface adapted to provide a variable projected machining width during machining, the machining tool comprising:
the cutting surface, which includes a first cutting edge and a second cutting edge that extend to a tip of the machining tool; and
a back surface that forms a first acute angle with the cutting surface at the first cutting edge and a second acute angle with the cutting surface at the second cutting edge;
wherein:
a cross section of the cutting surface of the machining tool normal to a centerline of the machining tool is concave between the first cutting edge and the second cutting edge; and
a cross section of the back surface of the machining tool normal to the centerline of the machining tool is convex between the first cutting edge and the second cutting edge.
2. A machining tool according to claim 1, wherein the machining tool is one of a diamond machining tool, a sapphire machining tool, a silicon-carbide machining tool, a tungsten machining tool, or a tungsten-carbide machining tool.
3. A machining tool according to claim 1, wherein the cutting surface includes:
a first substantially planar section extending from the first cutting edge; and
a second substantially planar section extending from the second cutting edge.
4. A machining tool according to claim 3, wherein:
the first substantially planar section and the second substantially planar section meet at an apex in a center of the cutting surface; and
the cross section of the cutting surface of the machining tool normal to the centerline of the machining tool has a V-shape.
5. A machining tool according to claim 3, wherein the first substantially planar section and the second substantially planar section meet at an apex that is displaced from a center of the cutting surface.
6. A machining tool according to claim 3, wherein the cutting surface further includes a third substantially planar section extending between the first substantially planar section and the second substantially planar section.
7. A machining tool according to claim 1, wherein the cutting surface includes a substantially smoothly curved concave surface section.
8. A machining tool according to claim 7, wherein the substantially smoothly curved concave surface section extends from the first cutting edge to the second cutting edge.
9. A machining tool according to claim 7, wherein the substantially smoothly curved concave surface of the cutting surface is symmetrical about a center of the cutting surface.
10. A machining tool according to claim 7, wherein the substantially smoothly curved concave surface of the cutting surface is asymmetrical about a center of the cutting surface.
11. A machining tool according to claim 7, wherein the cross section of the cutting surface is one of circular, parabolic, or hyperbolic.
12. A machining tool according to claim 7, wherein the cutting surface further includes a substantially planar section.
13. A machining tool according to claim 1, wherein the back surface includes:
a first substantially planar section extending from the first cutting edge; and
a second substantially planar section extending from the second cutting edge.
14. A machining tool according to claim 1, wherein the back surface is a substantially smoothly curved convex surface extending from the first cutting edge to the second cutting edge.
15. The machining tool according to claim 1, wherein a maximum width of the cutting surface measured from the first cutting edge to the second cutting edge in a plane normal to the centerline of the machining tool is between about 1 nm and 1 mm.
16. The machining tool according to claim 1, wherein the tip of the machining tool is one of a pointed tip or a flat tip.
17. A method of manufacturing a machining tool having a concave cutting surface adapted to project a variable machining width during use, the method comprising the steps of:
a) providing a machining tool blank formed of tool material having a substantially planar cutting surface and a convex back surface, the substantially planar cutting surface and the convex back surface meeting at: i) a first cutting edge forming a first edge angle; and ii) a second cutting edge forming a second edge angle, the first cutting edge and the second cutting edge extending to a tip of the machining tool blank; and
b) machining the substantially planar cutting surface of the machining tool blank to remove a portion of the tool material of the machining tool blank from the substantially planar cutting surface and form the concave cutting surface of the machining tool, thereby reducing at least one of the first edge angle or the second edge angle.
18. A method according to claim 17, wherein the tool material of the machining tool blank is one of diamond, sapphire, silicon-carbide, tungsten, or tungsten-carbide.
19. A method according to claim 17, wherein machining the substantially planar cutting surface of the machining tool blank in step (b) includes at least one of reactive ion etching; plasma etching; laser ablation; focused ion beam machining; or three dimensional photolithography.
20. A method according to claim 17, wherein the first edge angle and the second edge angle are reduced in step (b).
The claims below are in addition to those above.
All refrences to claim(s) which appear below refer to the numbering after this setence.
I claim:
1. mop construction comprising: an elongated shaft, a mop head on a lower end of said shaft, said mop head having first and second relatively movable clamp members forming a jaw; and means medially located on said shaft for selectively opening and closing said jaw:
2. Mop construction in accordance with claim 1, in which said jaw extends in perpendicular orientation relative to said elongated shaft.
3. Mop construction comprising in combination, an elongated shaft having a lower end, a mop head on said lower end having first and second clamping members forming a transversely-extending jaw, means for manually opening and closing said jaw located on said shaft, and a descardable mopping planar sheet selectively engaged by said jaw.
4. The combination set forth in claim 3, further comprising an elongated bead projecting laterally of said planar sheet for engagement by said jaw.
5. The combination set forth in claim 3, further comprising: a magazine element including a plurality of sheets in stacked relation, said magazine element having a selectively openable cover overlying said sheets forming an opening through which said mop element is projected for engagement of an uppermost sheet.
6. The combination set forth in claim 5, said opening in said magazine element including a radially inwardly directed peripheral flange; and a cartridge element containing said plurality of sheets having an upwardly facing opening and having a peripheral rim surrounding said opening, said rim being selectively supported by said inwardly directed flange to position said sheets for serial engagement by said mop head.
7. The combination as set forth in claim 6, said magazine element having a selectively openable cover for maintaining moisture content in said sheets.
8. A disposable fibrous planar mopping sheet comprising: a first flexible lamina having a continuous peripheral edge, and means forming a bead inwardly disposed of said peripheral edge and projecting laterally of the plane of said lamina for selective engagement by a mop head.
9. A mopping sheet in accordance with claim 7, in which said means includes a second lamina adhered to said first lamina forming said bead.
10. A mopping sheet in accordance with claim 7, in which said last mentioned means includes a molded member having sheet-engaging means and forming said bead.