Elements of Geometry;: Containing the First Six Books of Euclid, with Two Books on the Geometry of Solids. To which are Added, Elements of Plane and Spherical TrigonometryBell & Bradfute, and G. G. & J. Robinson, London., 1795 - 400 páginas |
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Página 54
... difference of the fquares of two unequal lines AC , CD , is equal to the rectangle contained by their fum and difference . PROP . VI . THEOR . TF a ftraight line be bifected , and produced to any point ; the rectangle contained by the ...
... difference of the fquares of two unequal lines AC , CD , is equal to the rectangle contained by their fum and difference . PROP . VI . THEOR . TF a ftraight line be bifected , and produced to any point ; the rectangle contained by the ...
Página 56
... difference of the lines . " 66 6 IF ; PRO P. VIII . THE OR . Fa ftraight line be divided into any two parts , four times the rectangle contained by the whole line , and one of the parts , together with the fquare of the other part , is ...
... difference of the lines . " 66 6 IF ; PRO P. VIII . THE OR . Fa ftraight line be divided into any two parts , four times the rectangle contained by the whole line , and one of the parts , together with the fquare of the other part , is ...
Página 57
... difference , is equal to the fquare of the fum of the " lines . " " COR . 2. From the demonftration it is manifeft , that fince " the fquare of CD is quadruple of the fquare of CB , the fquare of any line is quadruple of the fquare of ...
... difference , is equal to the fquare of the fum of the " lines . " " COR . 2. From the demonftration it is manifeft , that fince " the fquare of CD is quadruple of the fquare of CB , the fquare of any line is quadruple of the fquare of ...
Página 126
... is the fifth part of the D whole , contains three ; therefore c 30. 3. BC their difference contains two of the fame parts : bifect c 1 BC in E ; therefore BE , EC are , I BC 126 ELEMENTS Book IV. cumference FABCD, and the angle AFE ...
... is the fifth part of the D whole , contains three ; therefore c 30. 3. BC their difference contains two of the fame parts : bifect c 1 BC in E ; therefore BE , EC are , I BC 126 ELEMENTS Book IV. cumference FABCD, and the angle AFE ...
Página 139
... difference of the numbers is of unity . Let mA and nA be multiples of the magnitude A by the numbers m and n , and let m be greater than n ; mA — nA contains A as oft as m - n contains unity , or mA — nA = m - n.A . Let m ― nq ; then m ...
... difference of the numbers is of unity . Let mA and nA be multiples of the magnitude A by the numbers m and n , and let m be greater than n ; mA — nA contains A as oft as m - n contains unity , or mA — nA = m - n.A . Let m ― nq ; then m ...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ... Formerly Chairman Department of Immunology John Playfair Sin vista previa disponible - 2015 |
Términos y frases comunes
ABCD alfo alſo angle ABC angle ACB angle BAC arch bafe baſe BC is equal becauſe the angle bifected Book VII cafe centre circle ABC circumference co-fine cylinder defcribed demonftrated diameter draw drawn equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle faid fame manner fame plane fame ratio fame reaſon fecond fegment femicircle fhall fhewn fimilar fince firft firſt folid fore fquare of AC ftraight line AB fuch given ftraight line gnomon greater impoffible infcribed interfect join lefs leſs Let ABC line BC magnitudes muſt oppofite angle parallel parallelepiped parallelogram perpendicular polygon prifm propofition proportionals radius rectangle contained rectilineal figure remaining angle right angles ſhall ſpace ſquare tangent thefe THEOR theſe thoſe touches the circle triangle ABC wherefore