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 6
... produced ever fo far both ways , do not meet . L POSTULATES . I. ET it be granted that a straight line may be drawn from any one point to any other point . II . That a terminated straight line may be produced to any length in a straight ...
... produced ever fo far both ways , do not meet . L POSTULATES . I. ET it be granted that a straight line may be drawn from any one point to any other point . II . That a terminated straight line may be produced to any length in a straight ...
Página 9
... produce the ftraight lines DA , DB , to E and F , from the centre B , at the distance BC , defcribed the circle CGH , and from the centre D , at the distance DG , describe the circle GKL . AL fhall be equal to BC . Because the point B ...
... produce the ftraight lines DA , DB , to E and F , from the centre B , at the distance BC , defcribed the circle CGH , and from the centre D , at the distance DG , describe the circle GKL . AL fhall be equal to BC . Because the point B ...
Página 11
... produced , the angles upon the other fide of the base shall also be equal . Let ABC be an ifofceles triangle , of which the fide AB is equal to AC , and let the straight lines AB , AC be produced to D and E , the angle ABC fhall be ...
... produced , the angles upon the other fide of the base shall also be equal . Let ABC be an ifofceles triangle , of which the fide AB is equal to AC , and let the straight lines AB , AC be produced to D and E , the angle ABC fhall be ...
Página 13
... produce AC , AD to E , F ; therefore , because AC is e- qual to AD in the triangle ACD , the angles ECD , DC upon the other fide of the base CD are e- qual a to one another , but the angle ECD is greater than the angle BCD ; wherefore ...
... produce AC , AD to E , F ; therefore , because AC is e- qual to AD in the triangle ACD , the angles ECD , DC upon the other fide of the base CD are e- qual a to one another , but the angle ECD is greater than the angle BCD ; wherefore ...
Página 17
... produced to any length both ways , and let C be a point without it . It is required to draw a straight line perpendicu- lar to AB from the point C. Take any point D up- on the other fide of AB , and from the centre C , at the distance ...
... produced to any length both ways , and let C be a point without it . It is required to draw a straight line perpendicu- lar to AB from the point C. Take any point D up- on the other fide of AB , and from the centre C , at the distance ...
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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