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 TrigonometryJ.B. Lippincott, 1857 - 317 pagine |
Dall'interno del libro
Risultati 1-5 di 37
Pagina 7
... proportional between them . The roots of quantities are some- times expressed by means of fractional indices : thus , the cube root of AXBXC may be expressed by AXBXC , or ( AXBX C ) , and so on . 28. Numbers in a parenthesis , such as ...
... proportional between them . The roots of quantities are some- times expressed by means of fractional indices : thus , the cube root of AXBXC may be expressed by AXBXC , or ( AXBX C ) , and so on . 28. Numbers in a parenthesis , such as ...
Pagina 107
... proportional between the other two . 10. When there is any number of magnitudes of the same kind , the first is said to have to the last the ratio compounded of the ratio which the first has to the second , and of the ratio which the ...
... proportional between the other two . 10. When there is any number of magnitudes of the same kind , the first is said to have to the last the ratio compounded of the ratio which the first has to the second , and of the ratio which the ...
Pagina 121
... proportional to two sides of another , when one of the sides of the first is to one of the sides of the second , as the remaining side of the second is to the re- maining side of the first . 3. A straight line is said to be cut in ...
... proportional to two sides of another , when one of the sides of the first is to one of the sides of the second , as the remaining side of the second is to the re- maining side of the first . 3. A straight line is said to be cut in ...
Pagina 123
... proportionally : And if the sides , or the sides produced , be cut proportionally , the straight line which joins the points of section will be parallel to the remaining side of the tri- ungle . Let DE be drawn parallel to BC , one of ...
... proportionally : And if the sides , or the sides produced , be cut proportionally , the straight line which joins the points of section will be parallel to the remaining side of the tri- ungle . Let DE be drawn parallel to BC , one of ...
Pagina 129
... proportional between the segments of the base ; and also that each of the sides is a mean proportional between the base , and its segment adjacent to that side . For in the triangles BDA , ADC , triangles ABC , BDA , triangles ABC , ACD ...
... proportional between the segments of the base ; and also that each of the sides is a mean proportional between the base , and its segment adjacent to that side . For in the triangles BDA , ADC , triangles ABC , BDA , triangles ABC , ACD ...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ... Euclid,John Playfair Visualizzazione completa - 1853 |
Elements of Geometry: Containing the First Six Books of Euclid, with a ... Euclid,John Playfair Visualizzazione completa - 1851 |
Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Visualizzazione completa - 1836 |
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 described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal given straight line greater Hence hypotenuse inscribed join less Let ABC magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular plane polygon prism PROB PROP proportional proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore