Αναζήτηση Εικόνες Χάρτες Play YouTube Ειδήσεις Gmail Drive Περισσότερα »
Είσοδος
Βιβλία Βιβλία
" Fig. 83,84. conjugate diameters is equal to the sum of the squares of the axes ; but in an hyperbola the difference of the squares of any two conjugate diameters is equal to the difference of the squares of the axes. "
A Course of Mathematics: Designed for the Use of the Officers and Cadets, of ... - Σελίδα 266
των Isaac Dalby - 1813
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Mathematics: Compiled from the Best Authors and Intended to be the ..., Τόμος 2

1801 - 658 σελίδες
...equal to the difference of the squares of the semiaxe^ Or, the square of the distance between the foci is equal to the difference of the squares of the two axes. That is, CF'^CA^S^Ca*, or, F/* — AB1— «i». • For, to the focus F draw the ordinate FE ; which, by the...

A Treatise on Fluxions: In Two Volumes, Τόμος 2

Colin MacLaurin - 1801 - 428 σελίδες
...ca1, as CA* + caz to ca1; consequently CtP + CL1 is equal toCAx+c«% or CA^ + CD1; that is, the sum of the squares of any two conjugate diameters is equal to the sum of the squaresof theaxis ABaod DE. 617. Any rectangle gh/k (Jig. 273) in the plane of the circle...

A Course of Mathematics in Two Volumes for the Use of Academies as Well as ...

Charles Hutton - 1807 - 464 σελίδες
...the Difference of the Squares of the Seijiiaxes ; Or, the Square of the Distance between the Foci, is equal to the Difference of the Squares of the two Axes. That is, CF1 = CA* - ca% or pf * = AB* — ab*. For, to the focus F draw the ordinate FE ; which, by the definition,...

Elements of the Conic Sections

Robert Simson - 1809 - 220 σελίδες
...together with the rectangle EFD, that is, to the (5. 2. Elem.) square of CD. •CoR. 3. Hence the sum of the squares of any two conjugate diameters is equal to the sum of the squares of the axes. Let CD, CL be the semi-axis, and CA, C1J conjugate semi-diameters ;...

A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - 1811 - 442 σελίδες
...to the Difference of the Squares of the Semiaxes ; Or, the Square of the Distance between the Foci, is equal to the Difference of the Squares of the two Axes. That is, CF* = CAZ - ca% or Ff Z = ABZ - ab*. b For, to the focus F draw the ordinate FE ; which, by the definition,...

A Course of Mathematics: In Three Volumes : Composed for the Use of the ...

Charles Hutton - 1811 - 494 σελίδες
...to the Difference of the Squares of the Semiaxes; Or, the Square of the Distance between the Foci, is equal to the Difference of the Squares of the two Axes. Ft, That is, CF* = CAl — ca1, or Ff 1 = AB1 — ab1. For, to the focus F draw the ordinate FE ; which,...

A Course of Mathematics: For the Use of Academies as Well as Private Tuition

Charles Hutton - 1812 - 620 σελίδες
...the Difference of the Squares of the Semiaxes ; . . Or, the Square of the Distance between the Foci, is equal to the Difference of the Squares of the two Axes. That is,cp* = CA* — ca9, or *f* = AB* — ab*. b F6r, to the focus F draw the ordinate »i ; which, by....

Elements of the Conic Sections

Robert Simson - 1817 - 298 σελίδες
...together with the rectangle EFD, that is, to the (5. 2. Elem.) square of CD. COR. 3. Hence the sum of the squares of any two conjugate diameters is equal to the sum of the squares of the axis. Let CD, CL be (he semiaxes, and CA, CB conjugate semidiameters ; let...

Elements of conic sections deduced from the cone

Abram Robertson - 1818 - 196 σελίδες
...Fig. 83,84. conjugate diameters is equal to the sum of the squares of the axes ; but in an hyperbola the difference of the squares of any two conjugate...diameters is equal to the difference of the squares of the axes. For the rest remaining, as in the last two articles, let AB, DE be the axes, and then the angles...

British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Τόμος 5

William Nicholson - 1819 - 406 σελίδες
...semi-diameter, which is conjugate to that passing through the point of contact. 8. In every ellipsis, the sum of the squares of any two conjugate diameters is equal to the sum of the. squares of the two axes. 9. In every .ellipsis, the angles F GI, /GH, (fig. 1), made by...




  1. Η βιβλιοθήκη μου
  2. Βοήθεια
  3. Σύνθετη Αναζήτηση Βιβλίων
  4. Λήψη ePub
  5. Λήψη PDF