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 TrigonometryE. Duyckinck, and George Long, 1824 - 333 σελίδες |
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Σελίδα xv
... opposite to the greater angle , nor that the equal sides are opposite to equal angles , nor , lastly , that things equal to the same thing are equal to one another ? By a scientific mind this information will not be thought lightly of ...
... opposite to the greater angle , nor that the equal sides are opposite to equal angles , nor , lastly , that things equal to the same thing are equal to one another ? By a scientific mind this information will not be thought lightly of ...
Σελίδα 20
... opposite sides equal to one another , but all its sides are not equal , nor its angles right angles . XXIX . All other four sided figures besides these , are called Trapeziums . XXX . Parallel straight lines , are such as are in the ...
... opposite sides equal to one another , but all its sides are not equal , nor its angles right angles . XXIX . All other four sided figures besides these , are called Trapeziums . XXX . Parallel straight lines , are such as are in the ...
Σελίδα 23
... opposite * Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz , AB to DE , and AC to DF ; and let the angle BAC be also equal to the angle EDF : then shall the base BC be ...
... opposite * Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz , AB to DE , and AC to DF ; and let the angle BAC be also equal to the angle EDF : then shall the base BC be ...
Σελίδα 24
... opposite , shall be equal , each to each . Which was to be demonstrated . PROP . V. THEOR . The angles at the base of an Isosceles triangle are equal to one another ; and if the equal sides be produced , the angles upon the other side ...
... opposite , shall be equal , each to each . Which was to be demonstrated . PROP . V. THEOR . The angles at the base of an Isosceles triangle are equal to one another ; and if the equal sides be produced , the angles upon the other side ...
Σελίδα 25
... opposite ; therefore the angle FBC is equal to the angle GCB , and the angle BCF to the angle CBG . Now , since it has been demonstrated , that the whole angle ABG is equal to the whole ACF , and the part CBG , to the part BCF the ...
... opposite ; therefore the angle FBC is equal to the angle GCB , and the angle BCF to the angle CBG . Now , since it has been demonstrated , that the whole angle ABG is equal to the whole ACF , and the part CBG , to the part BCF the ...
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ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet multiple opposite angle parallel parallelepipeds parallelogram perpendicular polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle shewn side BC sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore
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 |