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 |
Dentro del libro
Página 17
If two lines are such that they cannot coincide in any two points , “ without coinciding altogether , each of them is called a straight - line . ” " Cor . Hence two straight lines cannot inclose a space . Neither can “ two straight ...
If two lines are such that they cannot coincide in any two points , “ without coinciding altogether , each of them is called a straight - line . ” " Cor . Hence two straight lines cannot inclose a space . Neither can “ two straight ...
Página 21
... are equal to one another VII . Things which are halves of the same thing , are equal to one another . VIII . Magnitudes which coincide with one another , that is , which exactly fill the same space , are equal to one another . IX .
... are equal to one another VII . Things which are halves of the same thing , are equal to one another . VIII . Magnitudes which coincide with one another , that is , which exactly fill the same space , are equal to one another . IX .
Página 24
For , if the triangle ABC be applied to the triangle DEF , so that the point A may be on D , and the straight line AB upon DE ; the point B shall coincide with the point E , because AB is equal to DE ; and AB coincidivg with DE ...
For , if the triangle ABC be applied to the triangle DEF , so that the point A may be on D , and the straight line AB upon DE ; the point B shall coincide with the point E , because AB is equal to DE ; and AB coincidivg with DE ...
Página 27
For , if the triangle ABC be applied to the triangle DEF , so that the point B be on É , and the straight line BC upon EF ; the point C Ë shall also coincide with the point F , because BC is equal to EF : therefore BC coinciding with EF ...
For , if the triangle ABC be applied to the triangle DEF , so that the point B be on É , and the straight line BC upon EF ; the point C Ë shall also coincide with the point F , because BC is equal to EF : therefore BC coinciding with EF ...
Página 81
Upon the same straight line , and upon the same side of it , there cannot bé two similar segments of circles , not coinciding with one another . If it be possible , let the two similar segments of circles , viz .
Upon the same straight line , and upon the same side of it , there cannot bé two similar segments of circles , not coinciding with one another . If it be possible , let the two similar segments of circles , viz .
Comentarios de la gente - Escribir un comentario
No encontramos ningún comentario en los lugares habituales.
Otras ediciones - Ver todas
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 |