## 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 31

Side 10

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**polygons**, by more than four straight lines . 19. Of three sided figures , an equilateral triangle is that which has three equal sides . 20. An isosceles triangle is that which has only two sides equal . ΔΔΔ 21. A scalene triangle is ... Side 31

... right angle . SCHOLIUM . When ( Cor . 1. ) is applied to

... right angle . SCHOLIUM . When ( Cor . 1. ) is applied to

**polygons**, which have re - entrant angles , as ABC each re - entrant angle must be regarded as greater than two right angles . And , by joining BD , BE , BF , OF GEOMETRY . BOOK I. Side 32

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**polygons**with salient angles , which might otherwise be named convex**polygons**. Every convex**polygon**is such that a straight line , drawn at pleasure , cannot meet the contour of the**polygon**in more than two points . A PROP . XXXIII ... Side 45

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**polygon**ABCDE will be equivalent to the**polygon**ABCF , which has one side less than the original**polygon**. For the triangles CDE , CFE , have the base ČE common , and they are between the same paral- lels ; since their vertices D , F ... Side 46

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**polygon**; for , by suc- cessively diminishing the number of its sides , one being retrenched at each step of the process , the equivalent triangle will at length be found . COR . Since a triangle may be converted into an equivalent ...### 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 a ... John Playfair Uten tilgangsbegrensning - 1857 |

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