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 18
A D $ 9 $ E B с N. B. " When several angles are at one point B , any one of them is expressed by three letters , of which ... An acute angle is that which is less than a right angle : X. A figure is that which is inclosed by one or more ...
A D $ 9 $ E B с N. B. " When several angles are at one point B , any one of them is expressed by three letters , of which ... An acute angle is that which is less than a right angle : X. A figure is that which is inclosed by one or more ...
Σελίδα 20
An obtuse angled triangle , is that which has an obtuse angle . A XXIV . An acute angled triangle , is that whish has ... Of four sided figures , a square is that which has all its sides equal and all its angles right angles . XXVI .
An obtuse angled triangle , is that which has an obtuse angle . A XXIV . An acute angled triangle , is that whish has ... Of four sided figures , a square is that which has all its sides equal and all its angles right angles . XXVI .
Σελίδα 28
the angle ACB by the straight line CD . AB is cut into two equal parts in the point D. Because AC is equal to CB , and CD common to the ... PROB . a To draw a straight line at right angles to a given straight line , from a given point ...
the angle ACB by the straight line CD . AB is cut into two equal parts in the point D. Because AC is equal to CB , and CD common to the ... PROB . a To draw a straight line at right angles to a given straight line , from a given point ...
Σελίδα 29
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 one another , each of them is a right ...
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 one another , each of them is a right ...
Σελίδα 30
to CD ; therefore the angles CBE , EBD are two right angles . Now , the angle CBE is equal to the two angles CBA , ABE together ; add the angle EBD to each of these equals , and the two angles CBE , EBD , will be equal ( 2.
to CD ; therefore the angles CBE , EBD are two right angles . Now , the angle CBE is equal to the two angles CBA , ABE together ; add the angle EBD to each of these equals , and the two angles CBE , EBD , will be equal ( 2.
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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 |