The Elements of Euclid |
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Página 84
Book III . a Take K , L the centers of the circles , and join BK , KC , EL , LF . and becaufe the circumference BGC is equal to the circum- a . 1. 3 . A D K L B CE G H b . 27.3 . C. 4. 1 . 2. 10. I. b . 4. I. c . 28.
Book III . a Take K , L the centers of the circles , and join BK , KC , EL , LF . and becaufe the circumference BGC is equal to the circum- a . 1. 3 . A D K L B CE G H b . 27.3 . C. 4. 1 . 2. 10. I. b . 4. I. c . 28.
Página 184
Book VI . the circumference EF , the fame multiple is the angle EHN of the angle EHF . and if the circumference BL be equal to the circumfe- rence EN , the angle BGL is alfo equal to the angle EHN ; and if the circumference BL be ...
Book VI . the circumference EF , the fame multiple is the angle EHN of the angle EHF . and if the circumference BL be equal to the circumfe- rence EN , the angle BGL is alfo equal to the angle EHN ; and if the circumference BL be ...
Página 185
... CGK . in the fame manner the fectors EHF , FHM , MHN may be proved equal to one another . therefore what multiple foever the circumfe- rence BL is of the circumference BC , the fame multiple is the sector BGL of the sector BGC . for ...
... CGK . in the fame manner the fectors EHF , FHM , MHN may be proved equal to one another . therefore what multiple foever the circumfe- rence BL is of the circumference BC , the fame multiple is the sector BGL of the sector BGC . for ...
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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