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
... described from any centre , at any distance from that centre . AXIOM S. I. T HINGS which are equal to the fame thing are equal to one another . II . If equals be added to equals , the wholes are equal . III . If equals be taken from ...
... described from any centre , at any distance from that centre . AXIOM S. I. T HINGS which are equal to the fame thing are equal to one another . II . If equals be added to equals , the wholes are equal . III . If equals be taken from ...
Página 45
... described equal to the given rectilineal figure ABCD , having the angle FKM equal to the given angle E. Which was to be done . COR . From this it is manifest how to a given straight line to apply a parallelogram , which shall have an ...
... described equal to the given rectilineal figure ABCD , having the angle FKM equal to the given angle E. Which was to be done . COR . From this it is manifest how to a given straight line to apply a parallelogram , which shall have an ...
Página 46
... described upon the fide BC is equal to the fquares described upon BA , AC . On BC describe a the fquare BDEC , and on BA , AC the fquares GB , HC ; and through A draw b AL parallel to BD or CE , and join AD , FC ; then , becaufe each of ...
... described upon the fide BC is equal to the fquares described upon BA , AC . On BC describe a the fquare BDEC , and on BA , AC the fquares GB , HC ; and through A draw b AL parallel to BD or CE , and join AD , FC ; then , becaufe each of ...
Página 47
... described upon one of the fides of a triangle , be equal to the fquares described upon the other two fides of it ; the angle contained by thefe two fides is a right angle . If the fquare defcribed upon BC , one of the fides of the ...
... described upon one of the fides of a triangle , be equal to the fquares described upon the other two fides of it ; the angle contained by thefe two fides is a right angle . If the fquare defcribed upon BC , one of the fides of the ...
Página 93
... described ; and it is e- vident , that if the angle ABD be greater than the angle BAD , the centre E falls without the segment ABC , which therefore is lefs than a femicircle : but if the angle ABD be lefs than BAD , the centre E falls ...
... described ; and it is e- vident , that if the angle ABD be greater than the angle BAD , the centre E falls without the segment ABC , which therefore is lefs than a femicircle : but if the angle ABD be lefs than BAD , the centre E falls ...
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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