. The Civil engineer and architect's journal, scientific and railway gazette. Architecture; Civil engineering; Science. This lemma is proved by that celebrated mathematician Thomas Simpson nearly as follows:âlet AC = »», CB=:«, BS=;a:; wis supposed to be greater than n. n + .r â .)«â .:?!; m â n .'.n â {â X : m -\- n -\- z '. '. n : m (Q) .'.n â \- X '. n '. : m -\-11 -\- X : m .'.n -\- X : X : : m -\- n â {- x '. n -\- X, thatis,sp : BS :: as : sp. /. because the angle ASP is common to the two triangles APS, EPS, they are similar; consequently, B P : A P :: n -\- x : m -\- h -\- x, but by
. The Civil engineer and architect's journal, scientific and railway gazette. Architecture; Civil engineering; Science. This lemma is proved by that celebrated mathematician Thomas Simpson nearly as follows:âlet AC = »», CB=:«, BS=;a:; wis supposed to be greater than n. n + .r â .)«â .:?!; m â n .'.n â {â X : m -\- n -\- z '. '. n : m (Q) .'.n â \- X '. n '. : m -\-11 -\- X : m .'.n -\- X : X : : m -\- n â {- x '. n -\- X, thatis,sp : BS :: as : sp. /. because the angle ASP is common to the two triangles APS, EPS, they are similar; consequently, B P : A P :: n -\- x : m -\- h -\- x, but by (Q) )i + .r : )» + « + * '. '. n '. m . : AP :: H : ?n; , ⢠, JiP \ BP '. '. m '. n which was to be demonstrated. S C or SP = K + ^ = the radius of the circle, is evidently equal â ""â ; andBSor;!r= «= . Now to return to the original horizontal figure A B CO. Suppose 0 B to be less than either O A or O C, or suppose n^ not. Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original London : [William Laxton]
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Keywords: ., boo, bookcentury1800, booksubjectarchitecture, booksubjectscience
