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 xi
... four hundred and ninety - feventh part of the diameter of the circle , and of which the one is demonftrated to be greater than the circumference of that circle , and the other to be lefs . In the fame man- ner , the quadrature of the ...
... four hundred and ninety - feventh part of the diameter of the circle , and of which the one is demonftrated to be greater than the circumference of that circle , and the other to be lefs . In the fame man- ner , the quadrature of the ...
Página 4
... four straight lines . XVIII . Multilateral figures , or polygons , by more than four straight lines . XIX . Of three fided figures , an equilateral triangle is that which has three equal fides . XX . An ifofceles triangle is that which ...
... four straight lines . XVIII . Multilateral figures , or polygons , by more than four straight lines . XIX . Of three fided figures , an equilateral triangle is that which has three equal fides . XX . An ifofceles triangle is that which ...
Página 5
... four fided figures , a fquare is that which has all its fides equal , and all its angles right angles . XXVI . An oblong , is that which has all its angles right angles , but has not all its fides equal . XXVII . A rhombus , is that ...
... four fided figures , a fquare is that which has all its fides equal , and all its angles right angles . XXVI . An oblong , is that which has all its angles right angles , but has not all its fides equal . XXVII . A rhombus , is that ...
Página 19
... four right angles . COR . 2. And hence , all the angles made by any number of lines meeting in cne point , are together equal to four right angles . PROP . C 2 3 Ax . Book I. PROP . XVI . THEOR . I than OF GEOMETRY . 19.
... four right angles . COR . 2. And hence , all the angles made by any number of lines meeting in cne point , are together equal to four right angles . PROP . C 2 3 Ax . Book I. PROP . XVI . THEOR . I than OF GEOMETRY . 19.
Página 31
... four angles KGH , HGL , CHG , GHD are together equal to four right angles d , of which the two KGH , CHG are by fup- pofition less than two right angles ; therefore the other two , HGL , GHD are greater than two right angles . Therefore ...
... four angles KGH , HGL , CHG , GHD are together equal to four right angles d , of which the two KGH , CHG are by fup- pofition less than two right angles ; therefore the other two , HGL , GHD are greater than two right angles . Therefore ...
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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