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, Edlemnts of Plane and Spherical Trigonometry |
Dentro del libro
Página 15
... but DB is equal to BA and AC together ; therefore BA and AC together are greater than B с BC . In the same manner it may be demonstrated OF GEOMETRY . BOOK I. 15.
... but DB is equal to BA and AC together ; therefore BA and AC together are greater than B с BC . In the same manner it may be demonstrated OF GEOMETRY . BOOK I. 15.
Página 16
In the same manner it may be demonstrated , that the sides AB , BC are greater than CA , and BC , CĂ greater than AB . SCHOLIUM . This may be demonstrated without producing any of the sides : thus , the line BC , for example , is the ...
In the same manner it may be demonstrated , that the sides AB , BC are greater than CA , and BC , CĂ greater than AB . SCHOLIUM . This may be demonstrated without producing any of the sides : thus , the line BC , for example , is the ...
Página 19
than the interior and opposite angle EFG ; but it is also equal to it , which is impossible : therefore , AB and CD being produced , do not meet towards B , D. In like manner it may be demonstrated that they do not meet towards A ...
than the interior and opposite angle EFG ; but it is also equal to it , which is impossible : therefore , AB and CD being produced , do not meet towards B , D. In like manner it may be demonstrated that they do not meet towards A ...
Página 29
In the same manner , it may be demonstrated that no other line but AD is parallel to BC ; AD is therefore parallel to it . PROP . XXXIV . A B THEOR . D E Equivalent triangles on the same side of bases which are equal and in the same ...
In the same manner , it may be demonstrated that no other line but AD is parallel to BC ; AD is therefore parallel to it . PROP . XXXIV . A B THEOR . D E Equivalent triangles on the same side of bases which are equal and in the same ...
Página 31
... are upon the same base FB , and between the same parallels FB , GC . Now the doubles of equals are equal ( 6. Ax . ) to one another ; therefore the parallelogram BL is equal to the square GB : And in the same manner , by joining AE ...
... are upon the same base FB , and between the same parallels FB , GC . Now the doubles of equals are equal ( 6. Ax . ) to one another ; therefore the parallelogram BL is equal to the square GB : And in the same manner , by joining AE ...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Vista de fragmentos - 1836 |
Términos y frases comunes
ABCD altitude angle ABC angle BAC base bisected Book called centre chord circle circumference coincide common consequently construction cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular equilateral Euclid exterior angle extremities fall fore four fourth given given straight line greater half Hence inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism Prob produced PROP proportional proposition proved radius ratio reason rectangle contained rectilineal figure remaining right angles segment shewn sides similar sine solid spherical square straight line taken tangent THEOR third touch 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, Edlemnts of Plane and Spherical Trigonometry |
| Autor | John Playfair |
| Edición | 6 |
| Editor | W.E. Dean, 1836 |
| Largo | 311 páginas |
| Exportar cita | BiBTeX EndNote RefMan |