In the same preface is included (a) the famous problem known by Pappus's name, often enunciated thus: Having given a number of straight lines, to find the geometric locus of a point such that the lengths of the perpendiculars upon, or (more generally) the lines drawn from it obliquely at given inclinations to, the given lines satisfy the condition that the product of certain of them may bear a constant ratio to the product of the remaining ones; (Pappus does not express it in this form but by means of composition of ratios, saying that if the ratio is given which is compounded of the ratios of pairs - one of one set and one of another - of the lines so drawn, and of the ratio of the odd one, if any, to a given straight line, the point will lie on a curve given in position), (b) the theorems which were rediscovered by and named after Paul Guldin, but appear to have been discovered by Pappus himself. [Please select]
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351; compare the Kabistan with the Persian piece--which has the floral and which the geometric figures. [Please select]
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Its geometric grounds matched those of the park, itself a monument to bad taste in landscape. [Please select]
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—Other words, kindred to the above, containing this root-form are: geometric, geometrical, geometrician, geographic, geologize, geologist. [Please select]
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Architecture, correspondingly, in one of its aspects, is geometric pattern made fixed and enduring. [Please select]
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The accurate geometric and linear patterns would hardly arise. [Please select]
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Still higher forms are marvelously intricate and graceful, yet not less geometric and symmetrical. [Please select]
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In front, facing the hill-slope and not a half-mile distant, was the geometric arrangement of sandbags that marked the contour of the German first-line trenches. [Please select]
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The Epeira, therefore, is versed in the geometric secrets of the Ammonite and the _Nautilus pompilus_; she uses, in a simpler form, the logarithmic line dear to the Snail. [Please select]
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