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 8
... fore CA , AB , BC are equal to one another ; and the triangle ABC is therefore equilateral , and it is defcribed upon the gi- ven straight line AB . Which was required to be done . om . PROP . II . PROB . ROM a given point to draw a ...
... fore CA , AB , BC are equal to one another ; and the triangle ABC is therefore equilateral , and it is defcribed upon the gi- ven straight line AB . Which was required to be done . om . PROP . II . PROB . ROM a given point to draw a ...
Página 12
... fore , because in the triangles DBC , ACB , DB is equal to AC , and BC common to both , the two fides DB , BC are equal to the two AC , CB , each to each ; but the angle DBC is alfo equal to the angle ACB ; therefore the base DC is ...
... fore , because in the triangles DBC , ACB , DB is equal to AC , and BC common to both , the two fides DB , BC are equal to the two AC , CB , each to each ; but the angle DBC is alfo equal to the angle ACB ; therefore the base DC is ...
Página 15
... fore the angle DAF is equal to the angle EAF ; wherefore the given rectilineal angle BAC is bifected by B the straight line AF . Which was to be done . T PROP . X. PROB . E c8 . I. F O bisect a given finite straight line , that is , to ...
... fore the angle DAF is equal to the angle EAF ; wherefore the given rectilineal angle BAC is bifected by B the straight line AF . Which was to be done . T PROP . X. PROB . E c8 . I. F O bisect a given finite straight line , that is , to ...
Página 22
... DA is equal to AC , the angle ADC is like- wife equalb to ACD ; but the angle BCD is greater than the angle ACD there- B D fore the angle BCD is greater than the angle ADC ; and be- caufe . с c 19. I. cause the angle BCD of 22 ELEMENTS.
... DA is equal to AC , the angle ADC is like- wife equalb to ACD ; but the angle BCD is greater than the angle ACD there- B D fore the angle BCD is greater than the angle ADC ; and be- caufe . с c 19. I. cause the angle BCD of 22 ELEMENTS.
Página 24
... fore FK is equal to A : Again , because G is the centre of the circle LKH , GH is equal to GK ; but GH is equal to C ; therefore alfo GK is equal to C ; and FG is equal to B ; there- fore the three straight lines KF , FG , GK , are ...
... fore FK is equal to A : Again , because G is the centre of the circle LKH , GH is equal to GK ; but GH is equal to C ; therefore alfo GK is equal to C ; and FG is equal to B ; there- fore the three straight lines KF , FG , GK , are ...
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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