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 70
... Similar fegments of a circle , are thofe in which the an- gles are equal , or which contain equal angles . PROP . I. PROB . To - fi O find the centre of a given circle . Let ABC be the given circle ; it is required to find its centre ...
... Similar fegments of a circle , are thofe in which the an- gles are equal , or which contain equal angles . PROP . I. PROB . To - fi O find the centre of a given circle . Let ABC be the given circle ; it is required to find its centre ...
Página 166
... similar to the whole triangle ABC , and to one another . Because the angle BAC is equal to the angle ADB , each of them being a right angle , and that the angle at B is com- mon A mon to the two triangles ABC , ABD ; 166 ELEMENTS.
... similar to the whole triangle ABC , and to one another . Because the angle BAC is equal to the angle ADB , each of them being a right angle , and that the angle at B is com- mon A mon to the two triangles ABC , ABD ; 166 ELEMENTS.
Página 204
... Similar folid figures are fuch as are contained by the fame number of fimilar planes fimilarly fituated , and having like inclinations to one another . ! X. A pyramid is a solid figure contained by planes that are con- ftituted betwixt ...
... Similar folid figures are fuch as are contained by the fame number of fimilar planes fimilarly fituated , and having like inclinations to one another . ! X. A pyramid is a solid figure contained by planes that are con- ftituted betwixt ...
Página 206
... twe revolving oppofite fides of the parallelogram . XXIII . Similar cones and cylinders are those which have their axes and the diameters of their bafes proportionals . 1 PROP . Book VII . Ο PROP . I. THE OR . 206 ELEMENTS.
... twe revolving oppofite fides of the parallelogram . XXIII . Similar cones and cylinders are those which have their axes and the diameters of their bafes proportionals . 1 PROP . Book VII . Ο PROP . I. THE OR . 206 ELEMENTS.
Página 240
... SIMILAR folid parallelepipeds are to one another in the triplicate ratio of their homologous fides . Let AG , KQ be two fimilar parallelepipeds , of which AB and KL are two homologous fides ; the ratio of the folid AG to the folid KQ is ...
... SIMILAR folid parallelepipeds are to one another in the triplicate ratio of their homologous fides . Let AG , KQ be two fimilar parallelepipeds , of which AB and KL are two homologous fides ; the ratio of the folid AG to the folid KQ is ...
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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