## 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 79

Side 4

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**straight line**. A new axiom is also introduced in the room of the 12th , for the purpose of demonstrating more easily some of the properties of parallel lines . In the third Book , the re- marks concerning the angles made by a straight ... Side 6

... A Problem is a proposition or a question proposed , which requires a so- lution . As , to draw one line perpendicular to another ; or to divide

... A Problem is a proposition or a question proposed , which requires a so- lution . As , to draw one line perpendicular to another ; or to divide

**a line**into two equal parts . 9. Solution of a problem is the resolution or answer**given**to it . Side 12

... given point , and BC the

... given point , and BC the

**given straight line**; it is required to draw , from the point A , a straight line equal to ... straight lines DA , BD , to E and F ; from the centre B , at the distance BC , describe ( 3. Post . ) the circle CGH ... Side 13

... straight line AL is equal to BC . Wherefore , from the given point A , a straight line AL has been drawn equal to the

... straight line AL is equal to BC . Wherefore , from the given point A , a straight line AL has been drawn equal to the

**given straight line**BC . PROP . III . PROB . From the greater of two**given straight lines**to cut off a part equal to ... Side 17

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**given straight line**; it is required to divide it into two equal parts . Describe ( 1. 1. ) upon it an equilateral triangle ABC , and bisect ( 9. 1. ) the angle ACB by the straight line CD . AB is cut into two equal parts in the point D ...### 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