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 64
Let ABCD be a parallelogram , of which the diameters are AC and BD ; the sum of the squares of AC and BD is equal to the sum of the squares of AB , BC , CD , DA . Let AC and BD intersect one another in E : and because the vertical ...
Let ABCD be a parallelogram , of which the diameters are AC and BD ; the sum of the squares of AC and BD is equal to the sum of the squares of AB , BC , CD , DA . Let AC and BD intersect one another in E : and because the vertical ...
Página 69
Let ABCD be a circle , and AC , BD two straight lines in it , which cut one another in the point E , and do not both pass through the centre : AC , BD do not bisect one another . For if it is possible , let AE be equal to EC , and BE to ...
Let ABCD be a circle , and AC , BD two straight lines in it , which cut one another in the point E , and do not both pass through the centre : AC , BD do not bisect one another . For if it is possible , let AE be equal to EC , and BE to ...
Página 70
... is always greater than one more remote from it : And from the same point there can be drawn only two straight lines that are equal to one another , one upon each side of the shortest line . Let ABCD be a circle , and AD its diameter ...
... is always greater than one more remote from it : And from the same point there can be drawn only two straight lines that are equal to one another , one upon each side of the shortest line . Let ABCD be a circle , and AD its diameter ...
Página 76
Let ABCD be a circle , of which the diА. ameter is AD , and the centre E ; and let B BC be nearer to the centre than FG ; AD is greater than any straight line BC which is not a diameter , and BC greater than FG .
Let ABCD be a circle , of which the diА. ameter is AD , and the centre E ; and let B BC be nearer to the centre than FG ; AD is greater than any straight line BC which is not a diameter , and BC greater than FG .
Página 80
Let ABCD be a circle , and BAD , BED angles in the game segment BAED : The angles BAD , BED are equal E to one another . A Take F the centre of the circle ABCD : And , first , let the segment BAED be great er than a semicircle ...
Let ABCD be a circle , and BAD , BED angles in the game segment BAED : The angles BAD , BED are equal E to one another . A Take F the centre of the circle ABCD : And , first , let the segment BAED be great er than a semicircle ...
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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 |