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 xi
... diameter of the circle , and of which the one is demonftrated to be greater than the circumference of that circle , and the other to be lefs . In the fame man- ner , the quadrature of the circle is performed only by approximation , or ...
... diameter of the circle , and of which the one is demonftrated to be greater than the circumference of that circle , and the other to be lefs . In the fame man- ner , the quadrature of the circle is performed only by approximation , or ...
Página 3
... diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . XIV . A femicircle is the figure contained by a diameter and the part of the circumference cut off by the diameter . B 2 ...
... diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . XIV . A femicircle is the figure contained by a diameter and the part of the circumference cut off by the diameter . B 2 ...
Página 35
... diameter bisects them , that is , divides them in two equal parts . N. B. A parallelogram is a four fided figure , of which the oppofite fides are parallel ; and the diame- ter is the ftraight line joining two of its oppofite angles ...
... diameter bisects them , that is , divides them in two equal parts . N. B. A parallelogram is a four fided figure , of which the oppofite fides are parallel ; and the diame- ter is the ftraight line joining two of its oppofite angles ...
Página 36
... diameter bifects them ; for AB being equal to CD , and BC common , the two AB , BC are equal to the two DC , CB , each to each ; and the angle ABC is equal to the angle BCD ; therefore the triangle ABC is equal to the triangle BCD , and ...
... diameter bifects them ; for AB being equal to CD , and BC common , the two AB , BC are equal to the two DC , CB , each to each ; and the angle ABC is equal to the angle BCD ; therefore the triangle ABC is equal to the triangle BCD , and ...
Página 38
... 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 ; therefore the triangle ABC is equal to the triangle ...
... 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 ; therefore the triangle ABC is equal to the triangle ...
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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