Elements of Geometry;: Containing the First Six Books of Euclid, with Two Books on the Geometry of Solids. To which are Added, Elements of Plane and Spherical TrigonometryBell & Bradfute, and G. G. & J. Robinson, London., 1795 - 400 páginas |
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Página 130
... second the fame ratio that the third has to the fourth . VI . Magnitudes are faid to be proportionals , when the first has the fame ratio to the fecond that the third has to the fourth ; and the third to the fourth the fame ratio which ...
... second the fame ratio that the third has to the fourth . VI . Magnitudes are faid to be proportionals , when the first has the fame ratio to the fecond that the third has to the fourth ; and the third to the fourth the fame ratio which ...
Página 131
... second has to the third , and of the ratio which the third has to the fourth , and fo on unto the laft magnitude . For example , if A , B , C , D be four magnitudes of the fame kind , the first A is faid to have to the laft D the ratio ...
... second has to the third , and of the ratio which the third has to the fourth , and fo on unto the laft magnitude . For example , if A , B , C , D be four magnitudes of the fame kind , the first A is faid to have to the laft D the ratio ...
Página 132
... second is to the first , as the fourth to the third . Prop . A. book 5 . XVI . Componendo , by compofition : When there are four propor- tionals , and it is inferred , that the first , together with the fecond , fecond , is to the ...
... second is to the first , as the fourth to the third . Prop . A. book 5 . XVI . Componendo , by compofition : When there are four propor- tionals , and it is inferred , that the first , together with the fecond , fecond , is to the ...
Página 133
... second , as the third to its excefs above the fourth . Prop . D. book 5 . XIX . Ex aequali ( fc . diftantia ) , or ex aequo , from equality of di- ftance ; when there is any number of magnitudes more than two , and as many others , fo ...
... second , as the third to its excefs above the fourth . Prop . D. book 5 . XIX . Ex aequali ( fc . diftantia ) , or ex aequo , from equality of di- ftance ; when there is any number of magnitudes more than two , and as many others , fo ...
Página 134
... second is to the third of the first rank , fo is the last but two to the last but one of , the fecond rank ; and as the third is to the fourth of the first rank , so is the third from the laft to the last but two of the fecond rank ...
... second is to the third of the first rank , fo is the last but two to the last but one of , the fecond rank ; and as the third is to the fourth of the first rank , so is the third from the laft to the last but two of the fecond rank ...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ... Formerly Chairman Department of Immunology John Playfair Sin vista previa disponible - 2015 |
Términos y frases comunes
ABCD alfo alſo angle ABC angle ACB angle BAC arch bafe baſe BC is equal becauſe the angle bifected Book VII cafe centre circle ABC circumference co-fine cylinder defcribed demonftrated diameter draw drawn equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle faid fame manner fame plane fame ratio fame reaſon fecond fegment femicircle fhall fhewn fimilar fince firft firſt folid fore fquare of AC ftraight line AB fuch given ftraight line gnomon greater impoffible infcribed interfect join lefs leſs Let ABC line BC magnitudes muſt oppofite angle parallel parallelepiped parallelogram perpendicular polygon prifm propofition proportionals radius rectangle contained rectilineal figure remaining angle right angles ſhall ſpace ſquare tangent thefe THEOR theſe thoſe touches the circle triangle ABC wherefore