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 TrigonometryW.E. Dean, 1839 - 318 sider |
Inni boken
Resultat 1-5 av 36
Side 109
... 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 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 . X. 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 ...
Side 124
... 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 remaining side of the first . III . 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 remaining side of the first . III . A straight line is said to be cut in ...
Side 126
... proportionally : And if the sides , or the sides produced , be cut proportionally , the straight line which joins the points of sec- tion will be parallel to the remaining side of the triangle . 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 sec- tion will be parallel to the remaining side of the triangle . Let DE be drawn parallel to BC , one of ...
Side 133
... proportional between the base and its segment adja- cent to that side . For in the triangles BDA , ADC , BD : DA :: DA : DC ( 4. 6. ) ; and in the trian- gles ABC , BDA , BC : BA :: BA : BD ( 4. 6. ) ; and in the trian- gles ABC , ACD ...
... proportional between the base and its segment adja- cent to that side . For in the triangles BDA , ADC , BD : DA :: DA : DC ( 4. 6. ) ; and in the trian- gles ABC , BDA , BC : BA :: BA : BD ( 4. 6. ) ; and in the trian- gles ABC , ACD ...
Side 134
... proportional , CE is found . Which was to be done . PROP . XII . PROB . E To find a fourth proportional to three given straight lines . Let A , B , C be the three given straight lines ; it is required to find a fourth proportional to A ...
... proportional , CE is found . Which was to be done . PROP . XII . PROB . E To find a fourth proportional to three given straight lines . Let A , B , C be the three given straight lines ; it is required to find a fourth proportional to A ...
Andre utgaver - Vis alle
Elements of Geometry: Containing the First Six Books of Euclid with a ... John Playfair Uten tilgangsbegrensning - 1855 |
Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1847 |
Elements of Geometry: Containing the First Six Books of Euclid with a ... John Playfair Uten tilgangsbegrensning - 1856 |
Vanlige uttrykk og setninger
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 opposite angle parallel parallelogram parallelopipeds perpendicular polygon prism PROB produced proportional 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 parallelopipeds spherical angle spherical triangle square straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore