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 26
... base , and on the same side of it , 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 ...
... base , and on the same side of it , 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 ...
Σελίδα 27
... base BC equal to the base EF . The angle BAC is equal to the angle EDF . For , if the triangle ABC be applied to the triangle DEF , so that the point B be on E , and the straight line BC upon EF ; the point C shall also coincide with ...
... base BC equal to the base EF . The angle BAC is equal to the angle EDF . For , if the triangle ABC be applied to the triangle DEF , so that the point B be on E , and the straight line BC upon EF ; the point C shall also coincide with ...
Σελίδα 28
... base AD is equal to the base ( 4. 1. ) DB , and the straight line AB is divided into two equal parts in the point D. Which was to be done . A D B PROP . XI . PROB . To draw a straight line at right angles to a given straight line , from ...
... base AD is equal to the base ( 4. 1. ) DB , and the straight line AB is divided into two equal parts in the point D. Which was to be done . A D B PROP . XI . PROB . To draw a straight line at right angles to a given straight line , from ...
Σελίδα 29
... base CF is also equal ( 11. Def . 1. ) to the base CG ; therefore the angle CHF is equal ( 8. 1. ) to the angle CHG ; and they are adjacent angles ; now when a straight line standing on a straight line makes the adjacent angles equal to ...
... base CF is also equal ( 11. Def . 1. ) to the base CG ; therefore the angle CHF is equal ( 8. 1. ) to the angle CHG ; and they are adjacent angles ; now when a straight line standing on a straight line makes the adjacent angles equal to ...
Σελίδα 31
... base AB is equal ( 4. 1. ) to the base CF , and the triangle AEB to the triangle CEF , and the remaining angles to the re- maining angles , each to each , to which the equal sides are oppo- B A E G F D. site ; wherefore the angle BAE is ...
... base AB is equal ( 4. 1. ) to the base CF , and the triangle AEB to the triangle CEF , and the remaining angles to the re- maining angles , each to each , to which the equal sides are oppo- B A E G F D. site ; wherefore the angle BAE is ...
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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 |