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
Resultados 11-15 de 30
Página 119
If magnitudes , taken separately , be proportionals , they will also be proportionals when taken jointly , that is , if the first be to the second as the third to the fourth , the first and second together will be to the second as the ...
If magnitudes , taken separately , be proportionals , they will also be proportionals when taken jointly , that is , if the first be to the second as the third to the fourth , the first and second together will be to the second as the ...
Página 120
If four magnitudes be proportionals , they are also proportionals by con . version , that is , the first is to its excess above the second , as the third to its excess above the fourth . If A : B :: C : D , by conversion , A : A - B ...
If four magnitudes be proportionals , they are also proportionals by con . version , that is , the first is to its excess above the second , as the third to its excess above the fourth . If A : B :: C : D , by conversion , A : A - B ...
Página 122
If the first has to the second the same ratio which the third has to the fourth ; and the fifth to the second , the saine ratio which the sixth has to the fourth ; the first and fifth , together , shall have to the second , the same ...
If the first has to the second the same ratio which the third has to the fourth ; and the fifth to the second , the saine ratio which the sixth has to the fourth ; the first and fifth , together , shall have to the second , the same ...
Página 125
... the first and third , any equimultiples whatever have been taken , viz . the base HC , and the triangle AHC ; and of the base CD and triangle ACD , the second and fourth , have been taken any equimultiples whatever , viz . the base ...
... the first and third , any equimultiples whatever have been taken , viz . the base HC , and the triangle AHC ; and of the base CD and triangle ACD , the second and fourth , have been taken any equimultiples whatever , viz . the base ...
Página 134
PROB . a To find a fourth proportional to three given straight lines . Let A , B , C be the three given straight lines ; it is required to find a fourth proportional to A , B , C. Take two straight lines DE , DF , containing any angle ...
PROB . a To find a fourth proportional to three given straight lines . Let A , B , C be the three given straight lines ; it is required to find a fourth proportional to A , B , C. Take two straight lines DE , DF , containing any angle ...
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 |