The first six books of the elements of Euclid : with a commentary and geometrical exercises ; to which are annexed a treatise on solid geometry, and short essays on ancient geometrical analysis, and the theory of transversals (1861)
Lardner, Dionysius, 1793-1859 · London : Print. for Taylor and Walton · leaf 52
s less than the radius of the circle, andtherefore the point H is within it. Since the point H is within thecircle and L without it, the one circle must intersect the other. It is evident, that if the sum. of the lines B and C were equal tothe line A, the points H and K would coincide; for then the… … 34 ELEMENTS OF EUCLID. in the former case the circles would touch externally, and in the latter internally. If the line A were greater than the sum of B and C, it is easy toperceive that the circles would not meet, one being wholly outside theother; and if B were greater than the sum of A and C,…
Geometry
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