Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical Trigonometry |
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Página 52
Therefore , the whole square BDEC is equal to the two squares GB , HC ; and the square BDEC is described upon the straight line BC , and the squares GB , HC upon BA , AC : wherefore the square upon the side BC is equal to the squares ...
Therefore , the whole square BDEC is equal to the two squares GB , HC ; and the square BDEC is described upon the straight line BC , and the squares GB , HC upon BA , AC : wherefore the square upon the side BC is equal to the squares ...
Página 64
... and BD is also equal to the rectilineal figure A ; therefore the rectilineal figure A is equal to the square of EH : Wherefore a square has been made equal to the given rectilineal figure A , viz . the square described upon EH .
... and BD is also equal to the rectilineal figure A ; therefore the rectilineal figure A is equal to the square of EH : Wherefore a square has been made equal to the given rectilineal figure A , viz . the square described upon EH .
Página 81
The opposite angles of any quadrilateral figure described in a circle , aré together equal to two right angles . > Let ABCD be a quadrilateral figure in the circle ABCD ; any two of its opposite angles are together equal to two right ...
The opposite angles of any quadrilateral figure described in a circle , aré together equal to two right angles . > Let ABCD be a quadrilateral figure in the circle ABCD ; any two of its opposite angles are together equal to two right ...
Página 82
from the centre D , at the distance of any of the three DA , DØ , DC , describe a circle ; this shall pass through the other points ; and the circle of which ABC is a segment is described : and because ...
from the centre D , at the distance of any of the three DA , DØ , DC , describe a circle ; this shall pass through the other points ; and the circle of which ABC is a segment is described : and because ...
Página 83
From the centre E , at the distance of any of the three AE , EB , EC , describe a circle , this shall pass through the other points ; and the circle of which ABC is a segment described : also ...
From the centre E , at the distance of any of the three AE , EB , EC , describe a circle , this shall pass through the other points ; and the circle of which ABC is a segment described : also ...
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Términos y frases comunes
ABC is equal ABCD altitude angle ABC angle BAC arch base bisected Book called centre circle circle ABC circumference coincide common cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular Euclid exterior angle extremity fall fore four fourth given given straight line greater half inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism produced PROP proportionals proposition proved radius ratio reason rectangle contained rectilineal figure right angles segment shewn sides similar sine solid square straight line taken tangent THEOR thing third touches triangle ABC wherefore whole
Información bibliográfica
| Título | Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical Trigonometry |
| Autor | John Playfair |
| Editor | E. Duyckinck, and George Long, 1824 |
| Procedencia del original | Universidad de Indiana |
| Digitalizado | 15 Ene. 2009 |
| Largo | 333 páginas |
| Exportar cita | BiBTeX EndNote RefMan |