The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected; and Some of Euclid's Demonstrations Restored. Also the Book of Euclid's Data, in Like Manner Corrected |
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Side 120
Book V. or , if the multiple of the first be greater than that of the fecond , the multiple of the third is alfo greater than that of the fourth . See N. VI . Magnitudes which have the fame ratio are called proportionals , N. B. When ...
Book V. or , if the multiple of the first be greater than that of the fecond , the multiple of the third is alfo greater than that of the fourth . See N. VI . Magnitudes which have the fame ratio are called proportionals , N. B. When ...
Side 121
Invertendo , by inverfion : When there are four proportionals , and it is inferred , that the fecond is to the first , as the fourth to the third . Prop . B. book 5 . XV . · Componendo , by compofition , when there are four proportion- ...
Invertendo , by inverfion : When there are four proportionals , and it is inferred , that the fecond is to the first , as the fourth to the third . Prop . B. book 5 . XV . · Componendo , by compofition , when there are four proportion- ...
Side 122
Book V. fecond , as the third to its excess above the fourth . Prop . E. book 5 . XVIII . Ex aequali ( fc . diftantia ) , or ex aequo , from equality of di- ftance ; when there is any number of magnitudes more than two , and as many ...
Book V. fecond , as the third to its excess above the fourth . Prop . E. book 5 . XVIII . Ex aequali ( fc . diftantia ) , or ex aequo , from equality of di- ftance ; when there is any number of magnitudes more than two , and as many ...
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The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1793 |
The Elements of Euclid: Viz the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1803 |
The Elements of Euclid, Viz; The First Six Books: Together With the Eleventh ... Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
Vanlige uttrykk og setninger
added alfo alſo altitude angle ABC angle BAC bafe baſe becauſe Book Book XI centre circle circle ABCD circumference common cone cylinder defcribed definition demonftrated diameter divided double draw drawn equal equal angles equiangular equimultiples fame fame multiple fecond fegment fhall fides fimilar firft firſt folid folid angle fore four fourth fquare fquare of AC ftraight line given angle given ftraight line given in fpecies given in pofition given magnitude given ratio greater Greek half join lefs leſs magnitude manner meet oppofite parallel parallelogram perpendicular plane produced PROP propofition proportionals pyramid reafon rectangle rectangle contained remaining right angles ſquare Take taken THEOR theſe third triangle ABC wherefore whole