The Elements of Euclid |
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Página 437
The preceding Demonstration is the Analysis of this Problem , A parallelogram AC which has a given angle ABC being given in magnitude , and the excefs of the fquare of BC one of its fides above the fquare of the other BA being given ...
The preceding Demonstration is the Analysis of this Problem , A parallelogram AC which has a given angle ABC being given in magnitude , and the excefs of the fquare of BC one of its fides above the fquare of the other BA being given ...
Página 442
Dat . fquare of BF ; FB , BC are each of them given f . and the ratio of FB to BA is given ; therefore AB , BC are given . 8. 22. 6 . h . 1. 6 . k . 14. 5 . The Compofition is as follows . N Let GHK be the given angle to which the angle ...
Dat . fquare of BF ; FB , BC are each of them given f . and the ratio of FB to BA is given ; therefore AB , BC are given . 8. 22. 6 . h . 1. 6 . k . 14. 5 . The Compofition is as follows . N Let GHK be the given angle to which the angle ...
Página 463
as the fquare of the straight lines BC , CD taken together is to the square of BD , which ratio is the next thing said to be given in the Analyfis . and because four times the fquare ...
as the fquare of the straight lines BC , CD taken together is to the square of BD , which ratio is the next thing said to be given in the Analyfis . and because four times the fquare ...
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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
Información bibliográfica
| Título | The Elements of Euclid |
| Autor | Euclid |
| Editor | Robert Simson |
| Editor | A. Foulis, 1838 |
| Procedencia del original | de la Universidad de Virginia |
| Digitalizado | 6 Oct. 2010 |
| Largo | 466 páginas |
| Exportar cita | BiBTeX EndNote RefMan |