## 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 |

### Inni boken

Resultat 1-5 av 57

Side 6

Two lines are said to be parallel , when being situated in the same plane , they

cannot meet , how far soever , either way , both of them be

figure , terminated on all sides by straight lines , is called a rectilineal figure , or ...

Two lines are said to be parallel , when being situated in the same plane , they

cannot meet , how far soever , either way , both of them be

**produced**. 16. A planefigure , terminated on all sides by straight lines , is called a rectilineal figure , or ...

Side 7

That a terninated straight line may be

And that a circle may be described from any centre , at any distance from that cer

AXIOMS . 1. THINGS which are equal to the same OF GEOMETRY .. BOOK 2 7 ...

That a terninated straight line may be

**produced**to any length in a straight line . 3.And that a circle may be described from any centre , at any distance from that cer

AXIOMS . 1. THINGS which are equal to the same OF GEOMETRY .. BOOK 2 7 ...

Side 13

... together equal to four right angles . Cor . 2. And hence , all the angles made by

any number of straight lines meeting in one point , are together equal to four right

angles . PROP . IX . THEOR . If one side of a triangle be

... together equal to four right angles . Cor . 2. And hence , all the angles made by

any number of straight lines meeting in one point , are together equal to four right

angles . PROP . IX . THEOR . If one side of a triangle be

**produced**, the exterior ... Side 19

For , if it be not parallel , AB and CD being

D , or E B towards A , C ; let them be

point G ; therefore GEF G is a triangle , and its exterior D angle AEF is greater ( 9.

1. ) ...

For , if it be not parallel , AB and CD being

**produced**shall meet either towards B ,D , or E B towards A , C ; let them be

**produced**and meet towards B , D in thepoint G ; therefore GEF G is a triangle , and its exterior D angle AEF is greater ( 9.

1. ) ...

Side 21

If a straight line , cutting two other lines , make the sum of the two interior angles

on the same side , less than two right angles , those two lines will meet if

and CD ...

If a straight line , cutting two other lines , make the sum of the two interior angles

on the same side , less than two right angles , those two lines will meet if

**produced**. Let the straight line EF ( see last figure , ) make with the two lines KLand CD ...

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Elements of Geometry: Containing the First Six Books of Euclid: With a ... John Playfair Uten tilgangsbegrensning - 1819 |

Elements of Geometry: Containing the First Six Books of Euclid: With a ... John Playfair Uten tilgangsbegrensning - 1854 |

Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1824 |

### 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