21:["$","div",null,{"data-slot":"card","className":"bg-card text-card-foreground flex flex-col gap-6 rounded-xl border py-6 shadow-sm w-full max-w-4xl mx-auto hover:shadow-lg hover:border-primary/50 transition-all duration-200 cursor-pointer","children":[["$","div",null,{"data-slot":"card-header","className":"@container/card-header grid auto-rows-min grid-rows-[auto_auto] items-start gap-2 px-6 has-data-[slot=card-action]:grid-cols-[1fr_auto] [.border-b]:pb-6","children":["$","div",null,{"className":"flex justify-between items-start gap-4","children":[["$","div",null,{"className":"space-y-1","children":[["$","div",null,{"data-slot":"card-title","className":"text-xl font-bold hover:text-primary transition-colors","children":"Putnam 1942 A6"}],["$","p",null,{"className":"text-sm text-muted-foreground","children":["Source: ","Putnam 1942"]}]]}],["$","div",null,{"className":"text-xs text-muted-foreground whitespace-nowrap","children":"3/1/2022"}]]}]}],["$","div",null,{"data-slot":"card-content","className":"px-6 space-y-4","children":["$","div",null,{"className":"prose dark:prose-invert max-w-none","children":["$","div",null,{"className":"latex","children":["$","span",null,{"className":"__Latex__","dangerouslySetInnerHTML":{"__html":"Any circle in the

xy

-plane is \"represented\" by a point on the vertical line through the center of the circle and at a distance \"above\" the plane of the circle equal to the radius of the circle.\nShow that the locus of the representations of all the circles which cut a fixed circle at a constant angle is a portion of a one-sheeted hyperboloid.\nBy consideration of a suitable family of circles in the plane, demonstrate the existence of two families of rulings on the hyperboloid."}}]}]}]}],["$","div",null,{"data-slot":"card-footer","className":"items-center px-6 [.border-t]:pt-6 flex flex-wrap gap-2","children":[["$","span","Putnam",{"data-slot":"badge","className":"inline-flex items-center justify-center rounded-full border px-2 py-0.5 text-xs font-medium w-fit whitespace-nowrap shrink-0 [&>svg]:size-3 gap-1 [&>svg]:pointer-events-none focus-visible:border-ring focus-visible:ring-ring/50 focus-visible:ring-[3px] aria-invalid:ring-destructive/20 dark:aria-invalid:ring-destructive/40 aria-invalid:border-destructive transition-[color,box-shadow] overflow-hidden border-transparent bg-secondary text-secondary-foreground [a&]:hover:bg-secondary/90","children":"Putnam"}],["$","span","Hyperboloid",{"data-slot":"badge","className":"inline-flex items-center justify-center rounded-full border px-2 py-0.5 text-xs font-medium w-fit whitespace-nowrap shrink-0 [&>svg]:size-3 gap-1 [&>svg]:pointer-events-none focus-visible:border-ring focus-visible:ring-ring/50 focus-visible:ring-[3px] aria-invalid:ring-destructive/20 dark:aria-invalid:ring-destructive/40 aria-invalid:border-destructive transition-[color,box-shadow] overflow-hidden border-transparent bg-secondary text-secondary-foreground [a&]:hover:bg-secondary/90","children":"Hyperboloid"}]]}]]}]

A6

Problems(1)