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 38
... half of the parallelogram EBCA , because the diameter 34. AB bifects c it ; and the triangle DBC is the half of the paral- lelogram DBCF , because the diameter DC bifects it : But the 7. Ax . halves of equal things are equal d ...
... half of the parallelogram EBCA , because the diameter 34. AB bifects c it ; and the triangle DBC is the half of the paral- lelogram DBCF , because the diameter DC bifects it : But the 7. Ax . halves of equal things are equal d ...
Página 39
... half of the parallelogram GBCA , because the 34. 1 . diameter AB bifects it ; and the triangle DEF is the half of the parallelogram DEFH , because the diameter DF bifects it : But the halves of equal things are equal d ; therefore the d ...
... half of the parallelogram GBCA , because the 34. 1 . diameter AB bifects it ; and the triangle DEF is the half of the parallelogram DEFH , because the diameter DF bifects it : But the halves of equal things are equal d ; therefore the d ...
Página 53
... half the line . Let the ftraight line AB be divided into two equal parts in the point C , and into two unequal parts at the point D ; the rectangle AD , DB , together with the fquare of CD , is equal to the fquare of CB . Upon CB ...
... half the line . Let the ftraight line AB be divided into two equal parts in the point C , and into two unequal parts at the point D ; the rectangle AD , DB , together with the fquare of CD , is equal to the fquare of CB . Upon CB ...
Página 54
... half the line bifected , is equal to the fquare of the straight line which is made up of the half and the part produced ... Let the ftraight line AB be bifected in C , and produced to the point D ; the rectangle AD , DB , together with ...
... half the line bifected , is equal to the fquare of the straight line which is made up of the half and the part produced ... Let the ftraight line AB be bifected in C , and produced to the point D ; the rectangle AD , DB , together with ...
Página 57
... 2. From the demonftration it is manifeft , that fince " the fquare of CD is quadruple of the fquare of CB , the fquare of any line is quadruple of the fquare of half that 86 line . " PRO.P. Book II . 2 11. I. c . 5. 1 OF GEOMETRY . 37.
... 2. From the demonftration it is manifeft , that fince " the fquare of CD is quadruple of the fquare of CB , the fquare of any line is quadruple of the fquare of half that 86 line . " PRO.P. Book II . 2 11. I. c . 5. 1 OF GEOMETRY . 37.
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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