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 páginas |
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Página vi
... proportionals can be deduced by reasonings , which , at the same time that they are perfectly rigorous , are also simple and direct . As to the defects , the prolixness and ob- scurity , that have so often been complained of in the ...
... proportionals can be deduced by reasonings , which , at the same time that they are perfectly rigorous , are also simple and direct . As to the defects , the prolixness and ob- scurity , that have so often been complained of in the ...
Página 108
... proportionals , when the first has the same ratio to the second that the third has to the fourth ; and the third to the fourth the same ratio which the fifth has to the sixth , and so on whatever be their number . " When four magnitudes ...
... proportionals , when the first has the same ratio to the second that the third has to the fourth ; and the third to the fourth the same ratio which the fifth has to the sixth , and so on whatever be their number . " When four magnitudes ...
Página 109
... proportionals . IX . When three magnitudes are continual proportionals , the second is said to be a mean proportional between the other two . X. When there is any number of magnitudes of the same kind , the first is said to have to the ...
... proportionals . IX . When three magnitudes are continual proportionals , the second is said to be a mean proportional between the other two . X. When there is any number of magnitudes of the same kind , the first is said to have to the ...
Página 110
... proportionals , the ratio of the first to the fourth is said to be triplicate of the ratio of the first to the second , or of the ratio of the second to the third , & c . " So also , if there are five continual proportionals ; the ratio ...
... proportionals , the ratio of the first to the fourth is said to be triplicate of the ratio of the first to the second , or of the ratio of the second to the third , & c . " So also , if there are five continual proportionals ; the ratio ...
Página 111
... proportionals when taken two and two of each rank , and it is inferred , that the first is to the last of the first rank of magnitudes , as the first is to the last of the others ; Of this there are the two following kinds which arise ...
... proportionals when taken two and two of each rank , and it is inferred , that the first is to the last of the first rank of magnitudes , as the first is to the last of the others ; Of this there are the two following kinds which arise ...
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Términos y frases comunes
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
Información bibliográfica
| Título | 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 Trigonometry |
| Autor | John Playfair |
| Editor | E. Duyckinck, and George Long, 1824 |
| Procedencia del original | Universidad de Indiana |
| Digitalizado | 15 Ene. 2009 |
| Largo | 333 páginas |
| Exportar cita | BiBTeX EndNote RefMan |