The Elements of Euclid |
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Página 109
And if thro ' the points A , B , C , D , E , F there be drawn straight lines touching the circle , an equilateral and equiangular hexagon fhall be defcribed about it , which may be demonftrated from what has been faid of the pentagon ...
And if thro ' the points A , B , C , D , E , F there be drawn straight lines touching the circle , an equilateral and equiangular hexagon fhall be defcribed about it , which may be demonftrated from what has been faid of the pentagon ...
Página 157
Next , Let each of the angles at C , F be not less than a right angle . the triangle ABC is also in this cafe equiangular to the tri- angle DEF . The fame conftruction being made , it may be proved in like manner that BC is equal to BG ...
Next , Let each of the angles at C , F be not less than a right angle . the triangle ABC is also in this cafe equiangular to the tri- angle DEF . The fame conftruction being made , it may be proved in like manner that BC is equal to BG ...
Página 166
1. remaining angle AGB . wherefore the triangle FCD is equiangular to the triangle GAB . again , at the points G , B in the ftraight line GB make the angle BGH equal to the an- gle DFE , and the angle GBH equal to FDE ; therefore the ...
1. remaining angle AGB . wherefore the triangle FCD is equiangular to the triangle GAB . again , at the points G , B in the ftraight line GB make the angle BGH equal to the an- gle DFE , and the angle GBH equal to FDE ; therefore the ...
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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 |