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 xii
It contains the rudiments of what is properly called the Geometrical Analysis , and has itself an analytical form ; and for these reasons , I would willingly reserve it , or rather a compend of it , for a separate work , intended as an ...
It contains the rudiments of what is properly called the Geometrical Analysis , and has itself an analytical form ; and for these reasons , I would willingly reserve it , or rather a compend of it , for a separate work , intended as an ...
Σελίδα 17
If two lines are such that they cannot coincide in any two points , “ without coinciding altogether , each of them is called a straight - line . ” " Cor . Hence two straight lines cannot inclose a space . Neither can “ two straight ...
If two lines are such that they cannot coincide in any two points , “ without coinciding altogether , each of them is called a straight - line . ” " Cor . Hence two straight lines cannot inclose a space . Neither can “ two straight ...
Σελίδα 18
... or DBA ; and that which is contained by BD , CB is called the angle DBC , or CBD ; but , if there be only one angle at ' a point , it may be expressed by a letter placed at that point ; as the • angle at E. " VII .
... or DBA ; and that which is contained by BD , CB is called the angle DBC , or CBD ; but , if there be only one angle at ' a point , it may be expressed by a letter placed at that point ; as the • angle at E. " VII .
Σελίδα 19
A circle is a plane figure contained by one line , which is called the circumference , and is such that all straight lines drawn from a certain point within the figure to the circumference , are equal to one another . XII .
A circle is a plane figure contained by one line , which is called the circumference , and is such that all straight lines drawn from a certain point within the figure to the circumference , are equal to one another . XII .
Σελίδα 20
All other four sided figures besides these , are called Trapeziums . XXX . Parallel straight lines , are such as are in the same plane , and which being produced ever so far both ways , do not meet . 2 POSTULATES .
All other four sided figures besides these , are called Trapeziums . XXX . Parallel straight lines , are such as are in the same plane , and which being produced ever so far both ways , do not meet . 2 POSTULATES .
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Συχνά εμφανιζόμενοι όροι και φράσεις
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 |