## 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 65

Side 23

Ax . ) BG : But it has been

Ax . ) BG : But it has been

**shewn**that BC is equal to BG ; wherefore AL and BC are each of them equal to BG ; and things that are equal to the same are equal to one another ; therefore the straight line AŁ is equal to BC . Side 33

than the angle B ACB ; but it is not ; therefore the side AC is not less than AB ; and it has been

than the angle B ACB ; but it is not ; therefore the side AC is not less than AB ; and it has been

**shewn**that it is not equal to AB ; therefore AC is greater than AB . Wherefore the greater angle , & c . Q. E. D. 2 PROP . XX . THEOR . Side 34

... DB ; but it has been

... DB ; but it has been

**shewn**that BA , AC are greater that BE , EC ; much more then are BA , AC B greater than BD , DC . Again , because the exterior angle of a triangle ( 16. 1. ) is greater than the interior and opposite angle ... Side 37

than the base EF ; but it is not ; therefore the angle BAC is not less than the angle EDF ; and it was

than the base EF ; but it is not ; therefore the angle BAC is not less than the angle EDF ; and it was

**shewn**tbat it is E B not equal to it : therefore F the angle BAC is greater than the angle EDF . Wherefore , if two triaugles , & c . Side 41

to the angle GKD ; and it was

to the angle GKD ; and it was

**shewn**that the angle AGK is equal to the angle GHF ; therefore also AGK is equal to GKD ; and they are alternate angles ; therefore AB is parallel ( 27.1 . ) to CD . Wherefore straight lines , & c .### Hva folk mener - Skriv en omtale

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Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1836 |

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 - 1855 |

### Vanlige uttrykk og setninger

ABC is equal ABCD altitude angle ABC angle BAC arch base bisected Book called centre circle circle ABC circumference coincide common cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular Euclid exterior angle extremity fall fore four fourth given given straight line greater half inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism produced PROP proportionals proposition proved radius ratio reason rectangle contained rectilineal figure right angles segment shewn sides similar sine solid square straight line taken tangent THEOR thing third touches triangle ABC wherefore whole