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 xiv
To this objection , if there be any force in it , the present treatise is certainly as much exposed as any other ; for no attempt . is here made to abridge the Elements , by considering as self - evident any thing that admits of being ...
To this objection , if there be any force in it , the present treatise is certainly as much exposed as any other ; for no attempt . is here made to abridge the Elements , by considering as self - evident any thing that admits of being ...
Σελίδα xv
... 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 ; and it is exactly that which we receive from Euclid's demonstration .
... 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 ; and it is exactly that which we receive from Euclid's demonstration .
Σελίδα 21
I. THINGS which are equal to the same thing are equal to one another . II . If equals be added to equals , the wholes are equal . III . If equals be taken from equals , the remainders are equal . IV . If equals be added to unequals ...
I. THINGS which are equal to the same thing are equal to one another . II . If equals be added to equals , the wholes are equal . III . If equals be taken from equals , the remainders are equal . IV . If equals be added to unequals ...
Σελίδα 22
Definition ) to AB ; and because the point B is the centre of the circle ACE , BC is equal to AB : But it has been proved that CA is equal to AB ; therefore - CA , CB are each of them equal to AB ; now things which are equal to the same ...
Definition ) to AB ; and because the point B is the centre of the circle ACE , BC is equal to AB : But it has been proved that CA is equal to AB ; therefore - CA , CB are each of them equal to AB ; now things which are equal to the same ...
Σελίδα 23
Ax . ) BG : But it has been shewn that BC is equal to BG ; wherefore AL and BC are each of them equal to BG ; and things that are equal to the same are equal to one another ; therefore the straight line AŁ is equal to BC .
Ax . ) BG : But it has been shewn that BC is equal to BG ; wherefore AL and BC are each of them equal to BG ; and things that are equal to the same are equal to one another ; therefore the straight line AŁ is equal to BC .
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Συχνά εμφανιζόμενοι όροι και φράσεις
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 |