The Elements of Euclid |
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Página 85
Na circle , the angle in a semicircle is a right angle ; IN but the angle in a segment greater than a femicircle is ... BAC is equal to the two angles ABC , ACB . but FAC , the exterior angle of the triangle ABC , is equal b to the two ...
Na circle , the angle in a semicircle is a right angle ; IN but the angle in a segment greater than a femicircle is ... BAC is equal to the two angles ABC , ACB . but FAC , the exterior angle of the triangle ABC , is equal b to the two ...
Página 96
Let ABC be the given circle , and DEF the given triangle ; it is required to infcribe in the circle ABC a triangle equiangular to the triangle DEF . a Draw the straight line GAH touching the circle in the point b . 23. 1.
Let ABC be the given circle , and DEF the given triangle ; it is required to infcribe in the circle ABC a triangle equiangular to the triangle DEF . a Draw the straight line GAH touching the circle in the point b . 23. 1.
Página 418
LXXIV . a triangle has a given obtufe angle ; the excefs of the fquare of the fide which fubtends the obtuse an- gle above the fquares of the fides which contain it , fhall have a given ratio to the triangle . Let the triangle ABC have ...
LXXIV . a triangle has a given obtufe angle ; the excefs of the fquare of the fide which fubtends the obtuse an- gle above the fquares of the fides which contain it , fhall have a given ratio to the triangle . Let the triangle ABC have ...
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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 |