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 20
Of four sided figures , a square is that which has all its sides equal and all its angles right angles . XXVI . An oblong , is that which has all its angles right angles , " ut has not all its sides equal . XXVII .
Of four sided figures , a square is that which has all its sides equal and all its angles right angles . XXVI . An oblong , is that which has all its angles right angles , " ut has not all its sides equal . XXVII .
Σελίδα 50
To describe a square upon a given straight line . Let AB be the given straight line : it is required to describe a square upon AB . From the point A draw ( 11. 1. ) AC at right angles to AB ; and make ( 3. 1. ) ...
To describe a square upon a given straight line . Let AB be the given straight line : it is required to describe a square upon AB . From the point A draw ( 11. 1. ) AC at right angles to AB ; and make ( 3. 1. ) ...
Σελίδα 51
therefore each of the opposite angles ABE , BED is a right an- А B gle ; wherefore the figure ADEB is rectangular , and it has been demonstrated that it is equilateral ; it is therefore a square , and it is described upon the given ...
therefore each of the opposite angles ABE , BED is a right an- А B gle ; wherefore the figure ADEB is rectangular , and it has been demonstrated that it is equilateral ; it is therefore a square , and it is described upon the given ...
Σελίδα 52
Ax . ) to one another ; therefore the parallelogram BL is equal to the square GB : And in the same manner , by joining AE , BK , it is demonstrated that the parallelogram CL is equal to the square HC . Therefore , the whole square BDEC ...
Ax . ) to one another ; therefore the parallelogram BL is equal to the square GB : And in the same manner , by joining AE , BK , it is demonstrated that the parallelogram CL is equal to the square HC . Therefore , the whole square BDEC ...
Σελίδα 53
DC , placing a point between the two “ sides of the rectangle Also , instead of the square of a line , for “ instance of AD , we shall frequently in what filliws write AD2 . ” " The sign + placed between the names of two magnitudes ...
DC , placing a point between the two “ sides of the rectangle Also , instead of the square of a line , for “ instance of AD , we shall frequently in what filliws write AD2 . ” " The sign + placed between the names of two magnitudes ...
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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 |