The Elements of Euclid |
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Página 305
Book of the Elements , where the proportion of numbers " to one another is defined , and treated of , yet without giving any " Definition of the ratio of numbers ; tho ' fuch a Definition was " as neceffary and useful to be given in ...
Book of the Elements , where the proportion of numbers " to one another is defined , and treated of , yet without giving any " Definition of the ratio of numbers ; tho ' fuch a Definition was " as neceffary and useful to be given in ...
Página 321
Clavius in hist Obfervations upon it , rightly judges that the Definition of Com- pound ratio might have been made after the fame manner in which the Definitions of Duplicate and Triplicate ratio are given , viz .
Clavius in hist Obfervations upon it , rightly judges that the Definition of Com- pound ratio might have been made after the fame manner in which the Definitions of Duplicate and Triplicate ratio are given , viz .
Página 333
Definition . upon this account it was neceffary to amend the Definition of fimilar folid figures , and to place the Definition of a folid angle before it . and from this and the 10. Definition , it is fufficiently plain how much the ...
Definition . upon this account it was neceffary to amend the Definition of fimilar folid figures , and to place the Definition of a folid angle before it . and from this and the 10. Definition , it is fufficiently plain how much the ...
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added alfo alſo altitude angle ABC angle BAC bafe baſe becauſe bifected Book Book XI circle circle ABCD circumference common cone cylinder defcribed Definition demonftrated diameter divided double draw drawn equal equal angles equiangular equimultiples excefs fame fame multiple fecond fegment fhall fhewn fides fimilar firft firſt folid folid angle fore four fourth fquare fquare of BC ftraight line given angle given ftraight line given in fpecies given in pofition given magnitude given ratio greater Greek half join lefs magnitude manner meet oppofite parallel parallelogram perpendicular plane produced PROP Propofition proportionals pyramid reafon rectangle remaining right angles ſphere taken THEOR theſe third thro triangle ABC wherefore whole