## 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

Resultat 1-5 av 76

Side 8

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**meet**together , but are not in the same straight line . L N. B. ' When several angles are at one point B , any one of them is ex- ' pressed by three letters , of which the letter that is at the vertex of the an- ' gle , that is , at the ... Side 11

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**meet**. POSTULATES . 1. LET it be granted that a straight line may be drawn from any one point to any other point . 2. That a terminated straight line may be produced to any length in a straight line . 3. And that a circle may be ... Side 27

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**meet**to- wards B , D. In like manner it may be demonstrated that they do not**meet**towards A , C ; but those straight lines which**meet**neither way , though produced ever so far , are parallel ( 30. Def . ) A E B G C F D to one another ... Side 28

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**meet**on the side of EF on which the two angles are that are less than two right angles . For , if not , KL and CD are either parallel , or they**meet**on the other side of EF ; but they are not parallel ; for the angles KGH , GHC would ... Side 29

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**meet**towards L and D , they must**meet**if produced towards K and C. COR . 2. If BGH is a right angle , GHD will be a right angle also ; therefore every line perpendicular to one of two parallels , is perpendicular to the other . COR . 3 ...### Andre utgaver - Vis alle

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

### 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