124281571
On finite plane sets containing for every pair of points an equidistant point
Consider the set shown in Figure 1, consisting of the points 2 in E whose circular polar coordinates are ( 1 , T T / 3 ) , (1,0) , ( 1 , T T / 6 ) , ( 1 , T T / 3 ) , (1,TT/2) , ( \ T 2 , I T / 4 ) , and ( 0 , 0 ) . If this set lay on the union of two circles then at least three of the f i rs t five points listed above would lie together on one of these c i rc les , which must therefore be the unit circle about (0,0) . Evidently no other circle with the same centre can contain both (0, 0) and (NT2,IT/4) . An X can also be constructed by adjoining to the o above set the point (2 sinTr/12, TT/12) .
124628297
On the non-existence of a type of regular graphs of girth $5$
124310136
A new proof of a theorem of Dirac
121338541
Enumeration of Triangulations of the Disk
A method of draining oil from a transmission housing, of an oil-injected screw compressor comprising a compressor housing containing rotor means and a transmission housing. A shaft of the compressor extends into the transmission housing from the compressor housing and the transmission housing is underslung relative to the compression housing. The first portion of the compressor intake stroke, or rotation, is prevented from being filled with intake gas such that a depression is created. Said depression is applied via a bore to a sump portion of the transmission housing, so that the absolute pressure differential between the sump and the suction portion of the rotor means draws oil out of the sump and into the rotor spaces. A compressor employing this method of draining oil is also described.
122388919
Enumeration of quadrangular dissections of the disk
124806549
Sur les ensembles de sommets indépendants dans les graphes chromatiques minimaux
123473446
Hesse's theorem for a quadrilateral whose sides touch a conic