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 85
... of the circle passes through all the angular points of the figure about which it is described . 7. Polygons of five sides are called pentagons ; those.
... of the circle passes through all the angular points of the figure about which it is described . 7. Polygons of five sides are called pentagons ; those.
Página 86
Polygons of five sides are called pentagons ; those of six sides , hexa- gons ; those of seven sides , heptagons ; those of eight sides , octagons ; and so on . 8. A polygon , which is at once equilateral and equiangular , is called a ...
Polygons of five sides are called pentagons ; those of six sides , hexa- gons ; those of seven sides , heptagons ; those of eight sides , octagons ; and so on . 8. A polygon , which is at once equilateral and equiangular , is called a ...
Página 87
To inscribe a regular polygon of a certain number of sides in a given circle , we have only to divide the circumference into as many equal parts as the polygon has sides : for the arcs being equal ( see fig . Prop . XV . B. 4. ) ...
To inscribe a regular polygon of a certain number of sides in a given circle , we have only to divide the circumference into as many equal parts as the polygon has sides : for the arcs being equal ( see fig . Prop . XV . B. 4. ) ...
Página 99
Any regular polygon being inscribed , if the arcs subtended by its sides be severally bisected , the chords of those semi - arcs will form a new regular polygon of double the number of sides : thus , from having an inscribed square ...
Any regular polygon being inscribed , if the arcs subtended by its sides be severally bisected , the chords of those semi - arcs will form a new regular polygon of double the number of sides : thus , from having an inscribed square ...
Página 130
... if three straight lines be propor- tionals , as the first is to the third , so is any triangle upon the first to a similar , and similarly described triangle upon the second . > PROP . XX . THEOR . Similar polygons may be 130 ELEMENTS.
... if three straight lines be propor- tionals , as the first is to the third , so is any triangle upon the first to a similar , and similarly described triangle upon the second . > PROP . XX . THEOR . Similar polygons may be 130 ELEMENTS.
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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 |