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 79
... Ratio is a mutual relation of two magnitudes , of the same kind , to one another in respect of quantity . IV . Magnitudes are said to be of the same kind , when the less can be multiplied ... ratio of C to D ; or the ratio of BOOK FIFTH . 79.
... Ratio is a mutual relation of two magnitudes , of the same kind , to one another in respect of quantity . IV . Magnitudes are said to be of the same kind , when the less can be multiplied ... ratio of C to D ; or the ratio of BOOK FIFTH . 79.
Pagina 80
... ratio compounded of the ratios of A to B , B to C , C to D : A may also be said to have to D the ratio compounded of the ratios which are the same with the ratio of E to F , G to H , and K to L. In like manner , the same things being ...
... ratio compounded of the ratios of A to B , B to C , C to D : A may also be said to have to D the ratio compounded of the ratios which are the same with the ratio of E to F , G to H , and K to L. In like manner , the same things being ...
Pagina 83
... ratio to the second which the third has to the fourth , and if any equimultiples whatever be taken of the first and third , and any whatever of the second and fourth ; the multiple of the first shall have the same ratio to the multiple ...
... ratio to the second which the third has to the fourth , and if any equimultiples whatever be taken of the first and third , and any whatever of the second and fourth ; the multiple of the first shall have the same ratio to the multiple ...
Pagina 85
... ratio to the same than the less has ; and the same magnitude has a greater ratio to the less than it has to the greater . Let A + B be a magnitude greater than A , and C a third magni- tude ; A + B has to C a greater ratio than A has to ...
... ratio to the same than the less has ; and the same magnitude has a greater ratio to the less than it has to the greater . Let A + B be a magnitude greater than A , and C a third magni- tude ; A + B has to C a greater ratio than A has to ...
Pagina 86
... ratio to A than it has to A + B ( V. Def . 7 ) . Therefore , & c . Q. E. D. PROP . IX . THEOR . Magnitudes which have the same ratio to the same magnitude are equal to one another ; and those to which the same magnitude has the same ...
... ratio to A than it has to A + B ( V. Def . 7 ) . Therefore , & c . Q. E. D. PROP . IX . THEOR . Magnitudes which have the same ratio to the same magnitude are equal to one another ; and those to which the same magnitude has the same ...
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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