The Elements of Euclid |
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Página 20
Book I. b than the angle ACB ; but it is not ; therefore the fide AC is not lefs than AB . and it has been fhewn that it is not equal to AB . therefore AC is greater than AB . wherefore the greater angle , & c . Q. E. D. b . 18. 1 .
Book I. b than the angle ACB ; but it is not ; therefore the fide AC is not lefs than AB . and it has been fhewn that it is not equal to AB . therefore AC is greater than AB . wherefore the greater angle , & c . Q. E. D. b . 18. 1 .
Página 130
Book V. B and D , N and K are equimultiples ; if M be greater than N , G is greater than K ; and if equal , equal ; and if lefs , lefs ; but b . 5. Def . 5. G is greater than K , therefore M is greater than N. but H is not greater than ...
Book V. B and D , N and K are equimultiples ; if M be greater than N , G is greater than K ; and if equal , equal ; and if lefs , lefs ; but b . 5. Def . 5. G is greater than K , therefore M is greater than N. but H is not greater than ...
Página 336
Book XI . quired that B , C , D together be greater than A , from each of thefe taking away B , C , the remaining one D must be greater than the excess of A above B and C. take therefore any magnitude D which is less than A ...
Book XI . quired that B , C , D together be greater than A , from each of thefe taking away B , C , the remaining one D must be greater than the excess of A above B and C. take therefore any magnitude D which is less than A ...
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Términos y frases comunes
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 |