## 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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Resultat 6-10 av 31

Side 85

... the angular points of the figure about which it is described . 7.

sides are called pentagons ; those ELEMENTS.

... the angular points of the figure about which it is described . 7.

**Polygons**of fivesides are called pentagons ; those ELEMENTS.

Side 86

of seven sides , heptagons ; those of eight sides , octagons ; and so on . 8. A

**Polygons**of five sides are called pentagons ; those of six sides , hexagons ; thoseof seven sides , heptagons ; those of eight sides , octagons ; and so on . 8. A

**polygon**, which is at once equilateral and equiangular , is called a regular**polygon**... Side 87

To inscribe a regular

have only to divide the circumference into as many equal parts as the

has sides : for the arcs being equal ( see fig . Prop . XV . B. 4. ) , the chords AB ,

BC ...

To inscribe a regular

**polygon**of a certain number of sides in a given circle , wehave 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. ) , the chords AB ,

BC ...

Side 99

Any regular

severally biseçted , the chords of those semi - arcs will form a new regular

we may ...

Any regular

**polygon**being inscribed , if the arcs subtended by its sides beseverally biseçted , the chords of those semi - arcs will form a new regular

**polygon**of double the number of sides : thus , from having an inscribed square ,we may ...

Side 130

Cor . From this , it is manifest , that if three straight lines be proportionals , as the

first is to the third , so is any triangle upon the first similar , and similarly described

triangle upon the second . a > PROP . XX . THEOR . .. Similar

Cor . From this , it is manifest , that if three straight lines be proportionals , as the

first is to the third , so is any triangle upon the first similar , and similarly described

triangle upon the second . a > PROP . XX . THEOR . .. Similar

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Elements of Geometry: Containing the First Six Books of Euclid with a ... John Playfair Uten tilgangsbegrensning - 1855 |

Elements of Geometry: Containing the First Six Books of Euclid, with a ... Euclid,John Playfair Uten tilgangsbegrensning - 1853 |

Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1847 |

### Vanlige uttrykk og setninger

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 spherical square straight line taken tangent THEOR third touch triangle ABC wherefore whole