## 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 1-5 av 28

Side 6

The

sides , a quadrilateral ; that of five , a pentagon ; that of six , a hexagon ; and so

on . 18. Of three sided figures , an equilateral triangle is that which has three

equal ...

The

**polygon**of three sides , the simplest of all , is called a triangle ; that of foursides , a quadrilateral ; that of five , a pentagon ; that of six , a hexagon ; and so

on . 18. Of three sided figures , an equilateral triangle is that which has three

equal ...

Side 7

An equilateral

equilateral , when they have their sides equal to each other , and placed in the

same ...

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 mutuallyequilateral , when they have their sides equal to each other , and placed in the

same ...

Side 24

When this proposition is applied to

ABC , each re - entrant angle must be regarded as greater ... Every convex

of ...

When this proposition is applied to

**polygons**, which have re - entrant angles , asABC , each re - entrant angle must be regarded as greater ... Every convex

**polygon**is such that a straight line , drawn at pleasure , cannot meet the contourof ...

Side 41

Draw the diagonal CE , cutting off the triangle CDE ; draw DF parallel to CE ,

meeting AE produced , and join CF : the

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**. D For the ... Side 43

... having the side FG of a given length , is equal to the given B rectangle AEFH (

Th . 36. 1. ) . G COR . A

having one of its sides of a given length . F ELEMENTS OF G E O M E T R Y. OF ...

... having the side FG of a given length , is equal to the given B rectangle AEFH (

Th . 36. 1. ) . G COR . A

**polygon**may be converted into an equivalent rectangle ,having one of its sides of a given length . F ELEMENTS OF G E O M E T R Y. OF ...

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