## 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 TrigonometryCollins & Hannay, 1860 - 333 sider |

### Inni boken

Resultat 1-3 av 77

Side 56

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**produced**to any point ; the rectangle contained by the whole line thus**produced**, and the part of it**produced**, together with the square of half the line bisected , is equal to the square of the straight line which is made up of the ...Side 60

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**produced**to any point , the square of the whole line thus**produced**, and the square of the part of it produc ed , are together double of the square of half the line bisected , and of the square of the line made up of the half and the ...Side 181

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**produced**in that plane ( 2. Post . 1. ) ; let it be**produced**to D : Then ABC and ABD are two straight lines , and they have the common segment AB , which is impossible ( Cor . def . 3 . A B D 1. ) . Therefore ABC is not a straight line ...### Andre utgaver - Vis alle

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### Vanlige uttrykk og setninger

ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder demonstrated diameter draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet multiple opposite angle parallel parallelogram perpendicular polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle side BC sine solid angle solid parallelopipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore