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 198
A cylinder is a folid figure described by the revolution of a right angled parallelogram about one of its fides which remains fixed . XXII . The axis of a cylinder is the fixed straight line about which the parallelogram revolves .
A cylinder is a folid figure described by the revolution of a right angled parallelogram about one of its fides which remains fixed . XXII . The axis of a cylinder is the fixed straight line about which the parallelogram revolves .
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
Upon the square ABCD erect a prism of the fame altitude with the cylinder ; this prifm is greater than half of the cylinder ; because if a square be defcribed about the circle , and a prism erected upon the fquare , of the fame altitude ...
Upon the square ABCD erect a prism of the fame altitude with the cylinder ; this prifm is greater than half of the cylinder ; because if a square be defcribed about the circle , and a prism erected upon the fquare , of the fame altitude ...
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 ...
Side 272
Therefore the reft of the cone , that is , the pyramid , of which the base is the polygon AEBFCGDH , and of which the vertex is the fame with that of the cone , is greater than the third part E of the cylinder . But this pyramid is the ...
Therefore the reft of the cone , that is , the pyramid , of which the base is the polygon AEBFCGDH , and of which the vertex is the fame with that of the cone , is greater than the third part E of the cylinder . But this pyramid is the ...
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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
Bibliografisk informasjon
| Tittel | 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 |
| Forfatter | Euclid |
| Utgiver | E. Wingrove, London, and J. Balfour, Edinburgh, 1793 |
| Original fra | Harvard University |
| Digitalisert | 17. apr 2019 |
| Lengde | 520 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |