The Elements of Euclid |
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Página 234
Book XI . altitude of the folid CD to the altitude of the folid AB ; that is , the bafes of the folid parallelepipeds AB , CD are reciprocally pro- portional to their altitudes . Next , Let the bafes of the folids AB , CD be ...
Book XI . altitude of the folid CD to the altitude of the folid AB ; that is , the bafes of the folid parallelepipeds AB , CD are reciprocally pro- portional to their altitudes . Next , Let the bafes of the folids AB , CD be ...
Página 260
THEO R. HE bafes and altitudes of equal pyramids having triangular bafes are reciprocally proportional . and ... viz . the base ABC is to the bafe DEF , as the altitude of the pyramid DEFH to the altitude of the pyramid ABCG .
THEO R. HE bafes and altitudes of equal pyramids having triangular bafes are reciprocally proportional . and ... viz . the base ABC is to the bafe DEF , as the altitude of the pyramid DEFH to the altitude of the pyramid ABCG .
Página 275
But let the bafes and altitudes of the cylinders AX , EO , be re- ciprocally proportional , viz . the bafe ABCD to the base EFGH , as the altitude MN to the altitude KL . the cylinder AX is equal to the cylinder EO .
But let the bafes and altitudes of the cylinders AX , EO , be re- ciprocally proportional , viz . the bafe ABCD to the base EFGH , as the altitude MN to the altitude KL . the cylinder AX is equal to the cylinder EO .
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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 |