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 vi
... that of ordinary discourse , cannot express , without much tediousness and circumlocution , the relations of mathematical quantities , when taken in their utmost generality , and when no assistance can be received from diagrams .
... that of ordinary discourse , cannot express , without much tediousness and circumlocution , the relations of mathematical quantities , when taken in their utmost generality , and when no assistance can be received from diagrams .
Página 17
... a superficies are lines ; and the intersections of one superficies with another are also lines . " V. A plane superficies is that in which any two points being taken , the straight line between them lies wholly in that superficies .
... a superficies are lines ; and the intersections of one superficies with another are also lines . " V. A plane superficies is that in which any two points being taken , the straight line between them lies wholly in that superficies .
Página 21
If equals be taken from equals , the remainders are equal . IV . If equals be added to unequals , the wholes are unequal V If equals be taken from unequals , the remainders are unequal . VI . Things which are doubles of the same thing ...
If equals be taken from equals , the remainders are equal . IV . If equals be added to unequals , the wholes are unequal V If equals be taken from unequals , the remainders are unequal . VI . Things which are doubles of the same thing ...
Página 53
The sign + placed between the names of two magnitudes , signi" fies that those magnitudes are to be added together , and the sign " -placed between them , signifies that the latter is to be taken away « from the former .
The sign + placed between the names of two magnitudes , signi" fies that those magnitudes are to be added together , and the sign " -placed between them , signifies that the latter is to be taken away « from the former .
Página 68
If any two points be taken in the circumference of a circle , the straight line which joins them shuli fali within the circle . Let ABC be a circle , and A , B any two points in the circumference : the straight line drawn from A to B с ...
If any two points be taken in the circumference of a circle , the straight line which joins them shuli fali within the circle . Let ABC be a circle , and A , B any two points in the circumference : the straight line drawn from A to B с ...
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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 |