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, Edlemnts of Plane and Spherical TrigonometryW.E. Dean, 1836 - 311 sider |
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Side 281
... Euclid for having demon- strated the 13th proposition , which some affect to consider as self - evident ; for it proves that the circumstance on which the truth of that proposition depends is not obvious , nor that which at first sight ...
... Euclid for having demon- strated the 13th proposition , which some affect to consider as self - evident ; for it proves that the circumstance on which the truth of that proposition depends is not obvious , nor that which at first sight ...
Side 296
... Euclid's definition ; for , let A , B , C , D be four proportionals , according to the definition just given , and m any number ; and let the multiple of A by m , that is mA , be divided by B ; and first , let the quotient be the number ...
... Euclid's definition ; for , let A , B , C , D be four proportionals , according to the definition just given , and m any number ; and let the multiple of A by m , that is mA , be divided by B ; and first , let the quotient be the number ...
Side 304
... Euclid before M. le Sage , appears to have been sensible of this mistake . ( Memoires de l'Acad . des Sciences , 1756 , Hist . p . 77. ) A circumstance that renders this still more singular is , that another mistake of Euclid on the ...
... Euclid before M. le Sage , appears to have been sensible of this mistake . ( Memoires de l'Acad . des Sciences , 1756 , Hist . p . 77. ) A circumstance that renders this still more singular is , that another mistake of Euclid on the ...
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Vanlige uttrykk og setninger
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal arc AC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided draw Prob 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 wherefore