## 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 TrigonometryW. E. Dean, 1851 - 317 sider |

### Inni boken

Side 12

... the remainder ( 3 . K H D E F Ax . ) BG : But it has been

... the remainder ( 3 . K H D E F 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 12 ELEMENTS. Side 22

...

...

**shewn**that B A it is not equal to AB ; therefore AC is greater than AB . PROP . XX . THEOR . Any two sides of a triangle are together greater than the third side . Let ABC be a triangle ; any two sides of it together are greater than ... Side 23

...

...

**shewn**that BA , AC are greater than BE , EC ; much more then are BA , AC great- › er than BD , DC . B D A E Again , because the exterior angle of a triangle ( 16. 1. ) is greater than the interior and opposite angle , the exte- rior ... Side 25

... the an- gle BAC is not less than the angle EDF and it was

... the an- gle BAC is not less than the angle EDF and it was

**shewn**that it is not equal to it : therefore the angle BAC is greater than the angle EDF . B AA PROP . XXVI . THEOR . If two triangles have OF GEOMETRY . 25 BOOK I. Side 29

...

...

**shewn**that the angle AGK is equal to the angle GHF ; therefore also AGK is equal to GKD ; and they are alter- nate angles ; therefore AB is parallel C ( 27. 1. ) to CD . G B E H -F K D PROP . XXXI . PROB . To draw a straight line ...### Andre utgaver - Vis alle

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 Two ... Euclid,John Playfair Uten tilgangsbegrensning - 1795 |

Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1857 |

### Vanlige uttrykk og setninger

ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROB PROP proportional proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR touches the circle triangle ABC triangle DEF wherefore