Elements of Geometry, Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids: To which are Added, Elements of Plane and Spherical TrignonometryBell & Bradfute, 1875 - 257 pagine |
Dall'interno del libro
Risultati 1-5 di 48
Pagina 2
... diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . XIV . A semicircle is the figure contained by a diameter and the part of the circumference cut off by the diameter . XV ...
... diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . XIV . A semicircle is the figure contained by a diameter and the part of the circumference cut off by the diameter . XV ...
Pagina 47
... diameter of a circle which is not the centre , of all the straight lines which can be drawn from it to the circumference , the greatest is that in which the centre is , and the other part of that diameter is the least ; and , of any ...
... diameter of a circle which is not the centre , of all the straight lines which can be drawn from it to the circumference , the greatest is that in which the centre is , and the other part of that diameter is the least ; and , of any ...
Pagina 48
... diameter ; and of the rest , that which is nearer to the least is always less than the more remote : And only two equal straight lines can be drawn from the point unto the circumference , one upon each side of the least . D the Let ABC ...
... diameter ; and of the rest , that which is nearer to the least is always less than the more remote : And only two equal straight lines can be drawn from the point unto the circumference , one upon each side of the least . D the Let ABC ...
Pagina 49
... diameter of the circle ABC : and because in FG , the diameter of the circle ABC , there is taken the point D , which is F not the centre , DG is the greatest line from it to the circumference , and DC greater ( III . 7 ) than DB , and ...
... diameter of the circle ABC : and because in FG , the diameter of the circle ABC , there is taken the point D , which is F not the centre , DG is the greatest line from it to the circumference , and DC greater ( III . 7 ) than DB , and ...
Pagina 52
... diameter is AD , and the centre E ; and let BC be nearer to the centre than FG ; AD is greater than any straight line BC which is not a diameter , and BC greater than FG . A B E H DC From the centre draw EH , EK perpendi- culars to BC ...
... diameter is AD , and the centre E ; and let BC be nearer to the centre than FG ; AD is greater than any straight line BC which is not a diameter , and BC greater than FG . A B E H DC From the centre draw EH , EK perpendi- culars to BC ...
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ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore given circle given point given straight line hypotenuse inscribed less Let ABC Let the straight meet multiple opposite angle parallel parallelogram perpendicular plane polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius rectangle contained rectilineal figure remaining angle right angles segment semicircle similar sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC straight line drawn tangent THEOR third three straight lines touches the circle triangle ABC triangle DEF wherefore