The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored. Also the Book of Euclid's Data, in Like Manner Corr |
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Side 197
A cone is a folid figure defcribed by the revolution of a right angled triangle about one of the fides containing the right angle , which fide remains fixed . If the fixed fide be equal to the other fide containing the right angle ...
A cone is a folid figure defcribed by the revolution of a right angled triangle about one of the fides containing the right angle , which fide remains fixed . If the fixed fide be equal to the other fide containing the right angle ...
Side 198
The axis of a cone is the fixed ftraight line about which the triangle revolves . XX . The base of a cone is the circle described by that fide containing the right angle , which revolves . XXI . A cylinder is a folid figure described by ...
The axis of a cone is the fixed ftraight line about which the triangle revolves . XX . The base of a cone is the circle described by that fide containing the right angle , which revolves . XXI . A cylinder is a folid figure described by ...
Side 269
EVERY cone is the third part of a cylinder which has the fame bafe , and is of an with it . Let à cone have the fame base with a cylinder , viz . the circle ABCD , and the fame altitude . The cone is the third part of the cylinder ...
EVERY cone is the third part of a cylinder which has the fame bafe , and is of an with it . Let à cone have the fame base with a cylinder , viz . the circle ABCD , and the fame altitude . The cone is the third part of the cylinder ...
Side 270
... prisms be erected of the same altitude with the cylinder , and fo on , there must at length ree Lemma . main fome fegments of the cylinder which together are less c than the excess of the cylinder above the triple of the cone .
... prisms be erected of the same altitude with the cylinder , and fo on , there must at length ree Lemma . main fome fegments of the cylinder which together are less c than the excess of the cylinder above the triple of the cone .
Side 271
Therefore the rest of the cylin- Book XII . der , that is , the prifm of which the base is the polygon AEBFCGDH , and of which the altitude is the fame with that of the cylinder , is greater than the triple of the cone : But this prifm ...
Therefore the rest of the cylin- Book XII . der , that is , the prifm of which the base is the polygon AEBFCGDH , and of which the altitude is the fame with that of the cylinder , is greater than the triple of the cone : But this prifm ...
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The Elements of Euclid: Viz the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1803 |
The Elements of Euclid, Viz; The First Six Books: Together With the Eleventh ... Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
Vanlige uttrykk og setninger
added alfo alſo altitude angle ABC angle BAC bafe baſe becauſe Book Book XI centre circle circle ABCD circumference common cone cylinder defcribed definition demonftrated diameter divided double draw drawn equal equal angles equiangular equimultiples fame fame multiple fecond fegment fhall fides fimilar firft firſt folid fore four fourth fquare fquare of BC ftraight line given angle given in fpecies given in pofition given magnitude given ratio given ſtraight line greater Greek half join lefs leſs magnitude manner meet oppofite parallel parallelogram perpendicular plane produced PROP propofition proportionals pyramid reaſon rectangle rectangle contained remaining right angles ſquare Take taken THEOR theſe third triangle ABC wherefore whole