## 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 TrigonometryB. & S. Collins; W. E. Dean, printer, 1836 - 311 sider |

### Inni boken

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**propositions**in the fifth book of Euclid's elements , according to the text and arrangement in Simson's edition . 12mo . Corrected and improved . BONNYCASTLE'S ALGEBRA : with Notes and Observa- tions , designed for the use of Schools ... Side

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**propositions**in the Second Book are expressed Algebraically , by way of Scholium , to each**proposition**. Several Theorems , Lemmas , Corollaries , and Scholiums , are interspersed throughout the whole work , not contained in any ... Side

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**propositions**of the fifth Book than those of any other of the Elements . In the second Book , also , some algebraic signs have been introduced , for the sake of representing more readily the addition and subtraction of the rectangles on ... Side 1

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**proposition**, requiring no formal demonstration to prove the truth of it ; but is received and assented to as soon as mentioned . Such as , the whole of any thing is greater than a part of it ; or , the whole is equal to all its parts ... Side 2

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**proposition**to be true , by proving that some absurdity would necessarily follow if the**proposition**advanced were false . This is sometimes called Reductio ad Absurdum ; because it shows the absurdity and falsehood of all suppositions ...### Andre utgaver - Vis alle

Elements Of Geometry John Playfair,William Wallace,John Davidsons Ingen forhåndsvisning tilgjengelig - 2023 |

Elements Of Geometry John Playfair,William Wallace,John Davidsons Ingen forhåndsvisning tilgjengelig - 2023 |

### Vanlige uttrykk og setninger

ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles 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 PROP 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 third touches the circle triangle ABC triangle DEF wherefore