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 25
... angle FBC is equal to the angle GCB , which are the angles upon the other side of the base . Therefore , the angles at the base , & c . Q. E. D. COROLLARY . Hence every equilateral triangle is also equiangular . PROP . VI . THEOR .
... angle FBC is equal to the angle GCB , which are the angles upon the other side of the base . Therefore , the angles at the base , & c . Q. E. D. COROLLARY . Hence every equilateral triangle is also equiangular . PROP . VI . THEOR .
Σελίδα 26
THEOR . If two triangles have two sides of the one equal to two sides of the other each to each , and have likewise their bases equal ; the angle which is contained by the two sides of the one shall be equal to the angle contained . by ...
THEOR . If two triangles have two sides of the one equal to two sides of the other each to each , and have likewise their bases equal ; the angle which is contained by the two sides of the one shall be equal to the angle contained . by ...
Σελίδα 30
THEOR . > If , at a point in a straight line , two other straight lines , upon the opposite sides of it , make the adjacent angles together equal to two right angles , these two straight lines are in one and the same straight line .
THEOR . > If , at a point in a straight line , two other straight lines , upon the opposite sides of it , make the adjacent angles together equal to two right angles , these two straight lines are in one and the same straight line .
Σελίδα 31
THEOR . If one side of a triangle be produced , the exterior angle is greater than either of the interior , and opposite angles . Let ABC be a triangle , and let its side BC be produced to D , the exterior angle ACD is greater than ...
THEOR . If one side of a triangle be produced , the exterior angle is greater than either of the interior , and opposite angles . Let ABC be a triangle , and let its side BC be produced to D , the exterior angle ACD is greater than ...
Σελίδα 32
THEOR . Any two angles of a triangle are together less than two right angles . Let ABC be any triangle ; any A two of its angles together are less than two right angles . Produce BC to D ; and because ACD is the exterior angle of the ...
THEOR . Any two angles of a triangle are together less than two right angles . Let ABC be any triangle ; any A two of its angles together are less than two right angles . Produce BC to D ; and because ACD is the exterior angle of the ...
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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 |