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 TrigonometryE. Duyckinck, and George Long, 1824 - 333 σελίδες |
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Σελίδα vii
... circumference of a circle , are left out , as tending to perplex one who has advanced no farther than the ele- ments of the science . The 27th , 28th , and 29th of the sixth are changed for easier and more simple proposi- tions , which ...
... circumference of a circle , are left out , as tending to perplex one who has advanced no farther than the ele- ments of the science . The 27th , 28th , and 29th of the sixth are changed for easier and more simple proposi- tions , which ...
Σελίδα viii
... circumference , I must not be supposed to mean , that a straight line is to be made equal to the circumference exactly a problem which , as is well known , Geometry has never been able to resolve . All that is proposed is , to de ...
... circumference , I must not be supposed to mean , that a straight line is to be made equal to the circumference exactly a problem which , as is well known , Geometry has never been able to resolve . All that is proposed is , to de ...
Σελίδα ix
... circumference of that circle , and the other less . In the same manner , the quadrature of the circle is performed only by approximation , or by finding two rectangles nearly equal to one another , one of them greater , and another less ...
... circumference of that circle , and the other less . In the same manner , the quadrature of the circle is performed only by approximation , or by finding two rectangles nearly equal to one another , one of them greater , and another less ...
Σελίδα 19
... circumference , and is such that all straight lines drawn from a cer- tain point within the figure to the circumference , are equal to one another . XII . And this point is called the centre of the circle . XIII . A diameter of a circle ...
... circumference , and is such that all straight lines drawn from a cer- tain point within the figure to the circumference , are equal to one another . XII . And this point is called the centre of the circle . XIII . A diameter of a circle ...
Σελίδα 66
... circumference . I. A straight line is said to touch a circle , when it meets the circle , and being produced does not cut it . II . Circles are said to touch one another , which meet , but do not cut one another . III . Straight lines ...
... circumference . I. A straight line is said to touch a circle , when it meets the circle , and being produced does not cut it . II . Circles are said to touch one another , which meet , but do not cut one another . III . Straight lines ...
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ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet multiple opposite angle parallel parallelepipeds parallelogram perpendicular polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle shewn side BC sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore