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 38
Pagina 42
... the rectangle BD.DC is the excess of DA2 above BA2 . Thirdly , When the point D is in the middle of the base , the truth of the proposition is manifest ( I. 47. ) ' BOOK THIRD . DEFINITIONS . A. The radius of 42 ELEMENTS OF GEOMETRY .
... the rectangle BD.DC is the excess of DA2 above BA2 . Thirdly , When the point D is in the middle of the base , the truth of the proposition is manifest ( I. 47. ) ' BOOK THIRD . DEFINITIONS . A. The radius of 42 ELEMENTS OF GEOMETRY .
Pagina 43
... radius of a circle is the straight line drawn from the centre to the 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 an ...
... radius of a circle is the straight line drawn from the centre to the 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 an ...
Pagina 73
... radius of the given circle , so that the rectangle con- tained by the whole and one of the parts may be equal to the square of the other ( II . 11 ) . Apply in the circle , on each side of a given point , a line equal to the greater of ...
... radius of the given circle , so that the rectangle con- tained by the whole and one of the parts may be equal to the square of the other ( II . 11 ) . Apply in the circle , on each side of a given point , a line equal to the greater of ...
Pagina 77
... radius of the circle . And if , through the points A , B , C , D , E , F , there be drawn straight lines touching the circle , an equilateral and equiangular hexagon shall be described about it , which may be demonstrated from what has ...
... radius of the circle . And if , through the points A , B , C , D , E , F , there be drawn straight lines touching the circle , an equilateral and equiangular hexagon shall be described about it , which may be demonstrated from what has ...
Pagina 120
... radius ; and if from these points two straight lines be drawn to any point whatsoever in the circumference of the circle , the ratio of these lines will be the same with the ratio of the segments intercepted between the two first ...
... radius ; and if from these points two straight lines be drawn to any point whatsoever in the circumference of the circle , the ratio of these lines will be the same with the ratio of the segments intercepted between the two first ...
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Elements of Geometry; Containing the First Six Books of Euclid, With Two ... John 1748-1819 Playfair Anteprima non disponibile - 2021 |
Parole e frasi comuni
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