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 17
The extremities of a line are points ; and the inter . " sections of one line with another are also points . ” III . " If two lines are such that they cannot coincide in any two points , “ without coinciding altogether , each of them is ...
The extremities of a line are points ; and the inter . " sections of one line with another are also points . ” III . " If two lines are such that they cannot coincide in any two points , “ without coinciding altogether , each of them is ...
Σελίδα 25
... there cannot be two triangles , that have their sides which are terminated in one extremity of the base equal to one another , and likewise those which are terminated in the other extremity , equal to one another .
... there cannot be two triangles , that have their sides which are terminated in one extremity of the base equal to one another , and likewise those which are terminated in the other extremity , equal to one another .
Σελίδα 26
Therefore , upon the same base , and on the same side of it , there cannot be two triangles that have their sides wbich are terminated in one extremity of the base equal to one another , and likewise those which are terminated in the ...
Therefore , upon the same base , and on the same side of it , there cannot be two triangles that have their sides wbich are terminated in one extremity of the base equal to one another , and likewise those which are terminated in the ...
Σελίδα 27
... there can be two triangles EDF , EGF , that have their sides which are terminated in one extremity of the base equal to one another , and likewise their sides terminated in the other extremity ; but this is impossible ( 7. 1. ) ...
... there can be two triangles EDF , EGF , that have their sides which are terminated in one extremity of the base equal to one another , and likewise their sides terminated in the other extremity ; but this is impossible ( 7. 1. ) ...
Σελίδα 43
The straight lines which join the extremities of two equal and parallel straight lines , towards the same parts , are also themselves equal and parallel . Let AB , CD , be equal and parallel straight lines , and joined towards the same ...
The straight lines which join the extremities of two equal and parallel straight lines , towards the same parts , are also themselves equal and parallel . Let AB , CD , be equal and parallel straight lines , and joined towards the same ...
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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 |