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 ix
termine two straight lines that shall differ very little from one another , not more , for instance , than the four hundred and ninety - seventh part of the diameter of the circle , and of which the one shall be greater than the ...
termine two straight lines that shall differ very little from one another , not more , for instance , than the four hundred and ninety - seventh part of the diameter of the circle , and of which the one shall be greater than the ...
Página xv
If , for example , it be alleged , that it is needless to demonstrate that any two sides of a triangle are greater than the third ; it may be replied , that this is no doubt a truth which , without proof , most men will be inclined to ...
If , for example , it be alleged , that it is needless to demonstrate that any two sides of a triangle are greater than the third ; it may be replied , that this is no doubt a truth which , without proof , most men will be inclined to ...
Página 23
PROB From the greater of two given straight lines to cut off a part equal to the less . Let AB and C be the two given straight lines , whereof AB is the greater . It is required to cut off from AB , the greater , a part equal to C ...
PROB From the greater of two given straight lines to cut off a part equal to the less . Let AB and C be the two given straight lines , whereof AB is the greater . It is required to cut off from AB , the greater , a part equal to C ...
Página 25
For , if AB be not equal to AC , one of them is greater than the other : Let AB be the greater , and from it cut ( 3. 1. ) off DB equal to AC the less , and join DC ; therefore , beΑ . cause in the triangles DBC , ACB , DB is equal to ...
For , if AB be not equal to AC , one of them is greater than the other : Let AB be the greater , and from it cut ( 3. 1. ) off DB equal to AC the less , and join DC ; therefore , beΑ . cause in the triangles DBC , ACB , DB is equal to ...
Página 26
to the angle ADC : But the angle ACD is greater than the angle BCD , therefore the angle ADC is greater also than BCD ; much more then is the angle BDC greater than the angle A NB BCD . Again , because CB is equal to DB , the angle BDC ...
to the angle ADC : But the angle ACD is greater than the angle BCD , therefore the angle ADC is greater also than BCD ; much more then is the angle BDC greater than the angle A NB BCD . Again , because CB is equal to DB , the angle BDC ...
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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 |