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 22
To describe an equilateral triangle upon a given finite straight line 1 ܪ Let AB be the given straight line ; it is required to describe an equilateral triangle upon it ... CA , CB to the points À , B ; ABC is an equilateral triangle .
To describe an equilateral triangle upon a given finite straight line 1 ܪ Let AB be the given straight line ; it is required to describe an equilateral triangle upon it ... CA , CB to the points À , B ; ABC is an equilateral triangle .
Σελίδα 23
Let AB and C be the two given straight lines , whereof AB is the greater . ... and their other angles shall be equal , each to each , viz . those to which the equal sides are opposite * Let ABC , DEF be two triangles which have the two ...
Let AB and C be the two given straight lines , whereof AB is the greater . ... and their other angles shall be equal , each to each , viz . those to which the equal sides are opposite * Let ABC , DEF be two triangles which have the two ...
Σελίδα 24
Let ABC be an isosceles triangle , of which the side AB is equal to AC , and let the straight lines AB , AC be produced to D and E , the angle ABC shall be equal to the angle ACB , and the angle CBD to the angle BCE .
Let ABC be an isosceles triangle , of which the side AB is equal to AC , and let the straight lines AB , AC be produced to D and E , the angle ABC shall be equal to the angle ACB , and the angle CBD to the angle BCE .
Σελίδα 25
Let ABC be a triangle having the angle ABC equal to the angle ACB ; the side AB is also equal to the side AC . For , if AB be not equal to AC , one of them is greater than the other : Let AB be the greater , and from it cut ( 3. 1. ) ...
Let ABC be a triangle having the angle ABC equal to the angle ACB ; the side AB is also equal to the side AC . For , if AB be not equal to AC , one of them is greater than the other : Let AB be the greater , and from it cut ( 3. 1. ) ...
Σελίδα 26
Join CD , and if possible let CB be equal to DB ; then , in the case D in which the vertex of each of the ... shall be equal to the angle contained . by the two sides of the other . ľ Let ABC , DEF be two triangles having the two sides ...
Join CD , and if possible let CB be equal to DB ; then , in the case D in which the vertex of each of the ... shall be equal to the angle contained . by the two sides of the other . ľ Let ABC , DEF be two triangles having the two sides ...
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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 |