The Elements of Euclid |
Dentro del libro
Resultados 1-3 de 88
Página 69
IF two circles touch each other internally , the straight line which joins their centers being produced fhall pass ... if poffible , as FGDH , and join AF , AG . and because AG , GF are greater than FA , that is than FH , for FA is ...
IF two circles touch each other internally , the straight line which joins their centers being produced fhall pass ... if poffible , as FGDH , and join AF , AG . and because AG , GF are greater than FA , that is than FH , for FA is ...
Página 445
b E , and join EC . the angle ACE being a right angle is given ; and the angle AEC is given ; therefore the triangle ACE is given in fpecies , and the ratio of EA to AC is therefore given . and EA is given in mag- nitude , because the ...
b E , and join EC . the angle ACE being a right angle is given ; and the angle AEC is given ; therefore the triangle ACE is given in fpecies , and the ratio of EA to AC is therefore given . and EA is given in mag- nitude , because the ...
Página 10
through E the center of the sphere : join DE , DA , DC : bý def . 1. DA , DC are equal , and AE , EC are alfo equal , and DE is common ; therefore ( 8. 1. ) the angles DEA , DEC are equal ; wherefore the arches DA , DC are equal ...
through E the center of the sphere : join DE , DA , DC : bý def . 1. DA , DC are equal , and AE , EC are alfo equal , and DE is common ; therefore ( 8. 1. ) the angles DEA , DEC are equal ; wherefore the arches DA , DC are equal ...
Comentarios de la gente - Escribir un comentario
No encontramos ningún comentario en los lugares habituales.
Otras ediciones - Ver todas
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