Verwandte Artikel zu Elements of the conic sections, the first three books,...

Elements of the conic sections, the first three books, tr. [by A. Marshall.]. - Softcover

 
9781235894107: Elements of the conic sections, the first three books, tr. [by A. Marshall.].

Zu dieser ISBN ist aktuell kein Angebot verfügbar.

Inhaltsangabe

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1817 Excerpt: ...the ellipsis passes through the points A, B: it passes likewise through D (4. cor. 1. 2.), because GD is equal to CA; and through E, because CD is equal toCE. PROP. XXV. Prob. A straight line being given in position and magnitude, and a point without it being given; to describe an ellipsis, of which that straight line shall be one of the axes, and which shall pass through that given point; but the given point must be so situated, that a perpendicular drawn from it may fall between the extremities of the given straight line. Kg. 19. Let AB be the straight line given in position and magnitude, and K the given point, so situated, that a perpendicular drawn from it towards AB may fall between the extremities A, B; it is required to describe an ellipsis which may have AB for one of the axes, and which may pass through K. Draw KL at right angles to AB, and find a straight line DE such, that the square of Find a mean proportional X between AL and LE (13. 6. AB may be to the square of DE, as the rec-Book ii. tangle ALB to the square of KL; and place vv--' DE perpendicular to AB, so that they mutually bisect each other: and by the last prop, with the same AB, DE, as the axes, describe an ellipsis; this ellipsis will pass through (2. cor. 15. 2.) the point K. PROP. XXVI. Prob. To find a diameter, the centre, the axes, and the foci of an ellipsis given in position. Draw two straight lines parallel to each other, and terminated both ways by the ellipsis; the straight line which bisects them is (4. cor. 13. 2.) a diameter; and the point bisecting that diameter is (3. 2.) the centre. Elem.); then to the three straight lines, X, KL, and AB, find a fourth proportional (12. 6. Elem.) which will be the straight line DE wanted. For the square of X, that is, the rectangle ALB ...

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Reseña del editor

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1817 Excerpt: ...the ellipsis passes through the points A, B: it passes likewise through D (4. cor. 1. 2.), because GD is equal to CA; and through E, because CD is equal toCE. PROP. XXV. Prob. A straight line being given in position and magnitude, and a point without it being given; to describe an ellipsis, of which that straight line shall be one of the axes, and which shall pass through that given point; but the given point must be so situated, that a perpendicular drawn from it may fall between the extremities of the given straight line. Kg. 19. Let AB be the straight line given in position and magnitude, and K the given point, so situated, that a perpendicular drawn from it towards AB may fall between the extremities A, B; it is required to describe an ellipsis which may have AB for one of the axes, and which may pass through K. Draw KL at right angles to AB, and find a straight line DE such, that the square of Find a mean proportional X between AL and LE (13. 6. AB may be to the square of DE, as the rec-Book ii. tangle ALB to the square of KL; and place vv--' DE perpendicular to AB, so that they mutually bisect each other: and by the last prop, with the same AB, DE, as the axes, describe an ellipsis; this ellipsis will pass through (2. cor. 15. 2.) the point K. PROP. XXVI. Prob. To find a diameter, the centre, the axes, and the foci of an ellipsis given in position. Draw two straight lines parallel to each other, and terminated both ways by the ellipsis; the straight line which bisects them is (4. cor. 13. 2.) a diameter; and the point bisecting that diameter is (3. 2.) the centre. Elem.); then to the three straight lines, X, KL, and AB, find a fourth proportional (12. 6. Elem.) which will be the straight line DE wanted. For the square of X, that is, the rectangle ALB ...

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

(Keine Angebote verfügbar)

Buch Finden:



Kaufgesuch aufgeben

Sie finden Ihr gewünschtes Buch nicht? Wir suchen weiter für Sie. Sobald einer unserer Buchverkäufer das Buch bei AbeBooks anbietet, werden wir Sie informieren!

Kaufgesuch aufgeben

Weitere beliebte Ausgaben desselben Titels

9781173799304: Elements Of The Conic Sections, The First Three Books, Tr. [by A. Marshall.].

Vorgestellte Ausgabe

ISBN 10:  1173799303 ISBN 13:  9781173799304
Verlag: Nabu Press, 2011
Softcover