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 7
... XI . " Two straight lines cannot be drawn through the fame point , " parallel to the fame ftraight line , without coinciding with 66 one another . Book I. PROPO Book I. late . T PROPOSITION I. PROBLEM . O OF GEOMETRY . 7.
... XI . " Two straight lines cannot be drawn through the fame point , " parallel to the fame ftraight line , without coinciding with 66 one another . Book I. PROPO Book I. late . T PROPOSITION I. PROBLEM . O OF GEOMETRY . 7.
Página 8
... PROPOSITION I. PROBLEM . O defcribe an equilateral triangle upon a given finite ftraight line . Let AB be the given ftraight line ; it is required to describe an equilateral triangle upon it . From the centre A , at the distance AB , de ...
... PROPOSITION I. PROBLEM . O defcribe an equilateral triangle upon a given finite ftraight line . Let AB be the given ftraight line ; it is required to describe an equilateral triangle upon it . From the centre A , at the distance AB , de ...
Página 292
... propositions are added . PROP . VI . F , as the greater of any two fides of a triangle to the lefs , fo the radius to the tangent of a cer- tain angle ; then will the radius be to the tangent of the difference between that angle and ...
... propositions are added . PROP . VI . F , as the greater of any two fides of a triangle to the lefs , fo the radius to the tangent of a cer- tain angle ; then will the radius be to the tangent of the difference between that angle and ...
Página 352
... proposition of the eleventh Book , that author argues , " that two ftraight lines " cannot have a common fegment , for this reason , that a έν ftraight line does not meet a ftraight line in more points " than one , otherwise they ...
... proposition of the eleventh Book , that author argues , " that two ftraight lines " cannot have a common fegment , for this reason , that a έν ftraight line does not meet a ftraight line in more points " than one , otherwise they ...
Página 359
... proposition is , " that when one triangle is included within " another , the fum of all the three fides of the included tri- angle is less than the fum of all the three fides of the other , " and this is without doubt true , though , I ...
... proposition is , " that when one triangle is included within " another , the fum of all the three fides of the included tri- angle is less than the fum of all the three fides of the other , " and this is without doubt true , though , I ...
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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