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 6
A plane figure , terminated on all sides by straight lines , is called a rectilineal figure , or polygon , and the lines themselves taken together form the contour , or perimeter of the polygon . 17. The polygon of three sides ...
A plane figure , terminated on all sides by straight lines , is called a rectilineal figure , or polygon , and the lines themselves taken together form the contour , or perimeter of the polygon . 17. The polygon of three sides ...
Página 7
An equilateral polygon , is one which has all its sides equal ; an equiangular polygon , one which has all its angles equal . 32. Two polygons are mutually equilateral , when they have their sides equal to each other , and placed in the ...
An equilateral polygon , is one which has all its sides equal ; an equiangular polygon , one which has all its angles equal . 32. Two polygons are mutually equilateral , when they have their sides equal to each other , and placed in the ...
Página 24
When this proposition is applied to polygons , which have re - entrant angles , as ABC , each re - entrant angle must be regarded ... F Every convex polygon is such that a straight line , drawn at pleasure , cannot meet the contour of ...
When this proposition is applied to polygons , which have re - entrant angles , as ABC , each re - entrant angle must be regarded ... F Every convex polygon is such that a straight line , drawn at pleasure , cannot meet the contour of ...
Página 41
Draw the diagonal CE , cutting off the triangle CDE ; draw DF parallel to CE , meeting AE produced , and join CF : the polygon ABCDE will be equivalent to the polygon ABCF , which has one side less than the original polygon .
Draw the diagonal CE , cutting off the triangle CDE ; draw DF parallel to CE , meeting AE produced , and join CF : the polygon ABCDE will be equivalent to the polygon ABCF , which has one side less than the original polygon .
Página 43
... the rectangle GFKC , having the side FG of a given length , is equal to the given B G rectangle AEFH ( ' Th . 36. 2. ) . COR . A polygon may be converted into an equivalent rectangle , having one of its sides of a given length .
... the rectangle GFKC , having the side FG of a given length , is equal to the given B G rectangle AEFH ( ' Th . 36. 2. ) . COR . A polygon may be converted into an equivalent rectangle , having one of its sides of a given length .
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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 distance 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 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 |
| Editor | W. E. Dean, 1836 |
| Largo | 311 páginas |
| Exportar cita | BiBTeX EndNote RefMan |