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 29
Pagina 32
... difference of the rectangles contained by the undivided line , and the whole and remaining part of the divided line . PROP . II . THEOR . If a straight line be divided into any two parts , the rectangles contained by the whole and each ...
... difference of the rectangles contained by the undivided line , and the whole and remaining part of the divided line . PROP . II . THEOR . If a straight line be divided into any two parts , the rectangles contained by the whole and each ...
Pagina 34
... difference of the squares of two unequal lines AC , CD , is equal to the rect- angle contained by their sum and difference , or that AC2_CD2 = ( AC + CD ) ( AC - CD ) . PROP . VI . THEOR . If a straight line be bisected , and produced ...
... difference of the squares of two unequal lines AC , CD , is equal to the rect- angle contained by their sum and difference , or that AC2_CD2 = ( AC + CD ) ( AC - CD ) . PROP . VI . THEOR . If a straight line be bisected , and produced ...
Pagina 35
... difference of the lines . PROP . VIII . THEOR . If a straight line be divided into any two parts , four times the rectangle contained by the whole line , and one of the parts , to- gether with the square of the other part , is equal to ...
... difference of the lines . PROP . VIII . THEOR . If a straight line be divided into any two parts , four times the rectangle contained by the whole line , and one of the parts , to- gether with the square of the other part , is equal to ...
Pagina 36
... difference of the lines AB and BC ; four times the rectangle contained by any two lines , together with the square of their difference , is equal to the square of the sum of the lines . COR . 2. From the demonstration it is manifest ...
... difference of the lines AB and BC ; four times the rectangle contained by any two lines , together with the square of their difference , is equal to the square of the sum of the lines . COR . 2. From the demonstration it is manifest ...
Pagina 42
... difference between the square of the line drawn to the opposite angle , and the square of one of the equal sides . Fig . 1 . A Fig . 2 . A Let ABC be an isosceles triangle , and let a straight line be drawn from any point D in the base ...
... difference between the square of the line drawn to the opposite angle , and the square of one of the equal sides . Fig . 1 . A Fig . 2 . A Let ABC be an isosceles triangle , and let a straight line be drawn from any point D in the base ...
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Elements of Geometry; Containing the First Six Books of Euclid, With Two ... John 1748-1819 Playfair Anteprima non disponibile - 2021 |
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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