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 1
4. An Axiom , or Maxim , is a self - evident proposition , requiring no formal demonstration to prove the truth of it ; but is received and assented to as soon as mentioned . Such as , the whole of any thing is greater than a part of it ...
4. An Axiom , or Maxim , is a self - evident proposition , requiring no formal demonstration to prove the truth of it ; but is received and assented to as soon as mentioned . Such as , the whole of any thing is greater than a part of it ...
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An obtuse angle is that which is greater than a right angle . 9. An acute angle is that which is less than a right angle . 10. A figure is that which is enclosed by one or more boundaries . — The word area denotes the quantity of space ...
An obtuse angle is that which is greater than a right angle . 9. An acute angle is that which is less than a right angle . 10. A figure is that which is enclosed by one or more boundaries . — The word area denotes the quantity of space ...
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The whole is greater than any of its parts . 10. The whole is equal to the sum of all its parts . 11. All right angles are equal to one another . 12. " Two straight lines which intersect one another , cannot be both " rallel to the same ...
The whole is greater than any of its parts . 10. The whole is equal to the sum of all its parts . 11. All right angles are equal to one another . 12. " Two straight lines which intersect one another , cannot be both " rallel to the same ...
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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 off DB equal to AC the less , and join DC ; therefore , because in the triangles DBC , ACB , DB is equal to AC , and BC ...
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 off DB equal to AC the less , and join DC ; therefore , because in the triangles DBC , ACB , DB is equal to AC , and BC ...
Página 13
Ax . ) to the remaining angle ABD , the less to the greater , which is impossible ; therefore BE is not in the same straight line with BC . And in like manner , it may be demonstrated , that no other can be in the same straight line ...
Ax . ) to the remaining angle ABD , the less to the greater , which is impossible ; therefore BE is not in the same straight line with BC . And in like manner , it may be demonstrated , that no other can be in the same straight line ...
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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 cosine 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, Elements of Plane and Spherical Trigonometry |
| Autor | John Playfair |
| Edición | 6 |
| Editor | W.E. Dean, 1836 |
| Largo | 311 páginas |
| Exportar cita | BiBTeX EndNote RefMan |