## 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 83

Side 4

A plane rectilineal angle is the inclination of two straight lines to one another ,

which

several angles are at one point B , any one of them is expressed by three letters ,

of ...

A plane rectilineal angle is the inclination of two straight lines to one another ,

which

**meet**together , but are not in the same straight line . D $ B c N. B. “ Whenseveral angles are at one point B , any one of them is expressed by three letters ,

of ...

Side 6

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

cannot

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 19

Let the straight line EF , which falls upon the two straight lines AB , CD make the

alternate angles AEF , EFD equal to one another ; AB is parallel to CD . For , if it

be not parallel , AB and CD being produced shall

Let the straight line EF , which falls upon the two straight lines AB , CD make the

alternate angles AEF , EFD equal to one another ; AB is parallel to CD . For , if it

be not parallel , AB and CD being produced shall

**meet**either towards B , D , or ... 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

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

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**ifproduced . Let the straight line EF ( see last figure , ) make with the two lines KL

and CD ...

Side 23

Through the point C draw CE A parallel to the straight line AB ; and because AB

is parallel to E CE , and AC

equal ( 21. 1. ) Again , because AB is parallel to CE , and BD B С D falls upon

them ...

Through the point C draw CE A parallel to the straight line AB ; and because AB

is parallel to E CE , and AC

**meets**them , the alternate angles BAC , ACE areequal ( 21. 1. ) Again , because AB is parallel to CE , and BD B С D falls upon

them ...

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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