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 |
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Σελίδα 64
... and BD is also equal to the rectilineal figure A ; therefore the rectilineal figure A is equal to the square of EH : Wherefore a square has been made equal to the given rectilineal figure A , viz . the square described upon EH .
... and BD is also equal to the rectilineal figure A ; therefore the rectilineal figure A is equal to the square of EH : Wherefore a square has been made equal to the given rectilineal figure A , viz . the square described upon EH .
Σελίδα 93
I. A RECTILINEAL figure is said to be inscribed in another rectilineal figure , when all the angles of the inscribed figure are upon the sides of the figure in which it is inscribed , each upon each . II , In like manner , a figure is ...
I. A RECTILINEAL figure is said to be inscribed in another rectilineal figure , when all the angles of the inscribed figure are upon the sides of the figure in which it is inscribed , each upon each . II , In like manner , a figure is ...
Σελίδα 94
A circle is said to be described about a rectilineal figure , when the circumference of the circle passes through all the angular points of the figure about which it is described . VII . A straight line is said to be placed in a circle ...
A circle is said to be described about a rectilineal figure , when the circumference of the circle passes through all the angular points of the figure about which it is described . VII . A straight line is said to be placed in a circle ...
Σελίδα 123
5. ) , A : C :: D : F . In the same manner may the proposition be demonstrated , whatever be the number of ratios . Therefore , & c . Q. E. D. > OF GEOMETRY BOOK VI . DEFINITIONS S IMILAR rectilineal figures OF GEOMETRY . BOOK V. 123.
5. ) , A : C :: D : F . In the same manner may the proposition be demonstrated , whatever be the number of ratios . Therefore , & c . Q. E. D. > OF GEOMETRY BOOK VI . DEFINITIONS S IMILAR rectilineal figures OF GEOMETRY . BOOK V. 123.
Σελίδα 124
DEFINITIONS S IMILAR rectilineal figures are those which have their several angles equal , each to each , and the sides about the equal angles proportionals . II . Two sides of one figure are said to be reciprocally proportional to two ...
DEFINITIONS S IMILAR rectilineal figures are those which have their several angles equal , each to each , and the sides about the equal angles proportionals . II . Two sides of one figure are said to be reciprocally proportional to two ...
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ABC is equal ABCD altitude angle ABC angle BAC arch base bisected Book called centre circle circle ABC circumference coincide common cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular Euclid exterior angle extremity fall fore four fourth given given straight line greater half inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism produced PROP proportionals proposition proved radius ratio reason rectangle contained rectilineal figure right angles segment shewn sides similar sine solid square straight line taken tangent THEOR thing third touches triangle ABC wherefore whole
Πληροφορίες βιβλιογραφίας
| Τίτλος | 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 |
| Συγγραφέας | John Playfair |
| Εκδότης | E. Duyckinck, and George Long, 1824 |
| Πρωτότυπο από | Πανεπιστήμιο της Ιντιάνα |
| Ψηφιοποιήθηκε στις | 15 Ιαν. 2009 |
| Μέγεθος | 333 σελίδες |
| Εξαγωγή αναφοράς | BiBTeX EndNote RefMan |