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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Resultat 1-5 av 47
Side 4
... that no definition , except that of Euclid , has ever been given , from which the properties of proportionals can be deduced by reasonings , which , at the same time that they are perfectly rigorous , are also simple and direct .
... that no definition , except that of Euclid , has ever been given , from which the properties of proportionals can be deduced by reasonings , which , at the same time that they are perfectly rigorous , are also simple and direct .
Side 5
In Geometry there are several general terms or principles ; such as , Definitions , Propositions , Axioms , Theorems , Problems , Lemmas , Scholiums , Corollaries , & c . 3. A Definition is the explication of any term or word in a ...
In Geometry there are several general terms or principles ; such as , Definitions , Propositions , Axioms , Theorems , Problems , Lemmas , Scholiums , Corollaries , & c . 3. A Definition is the explication of any term or word in a ...
Side 7
The expression ( 15. 1. ) denotes the fifteenth proposition , first book , and so on . In like manner , ( 3. Ax . ) designates the third axiom ; ( 2. Post . ) the second postulate ; ( Def . 3. ) the third definition , and so on . 29.
The expression ( 15. 1. ) denotes the fifteenth proposition , first book , and so on . In like manner , ( 3. Ax . ) designates the third axiom ; ( 2. Post . ) the second postulate ; ( Def . 3. ) the third definition , and so on . 29.
Side 8
... are equal , the A С quantities are said to be proportional : thus , if ; then , A is to B A B D B as C to D. And the abbreviations of the proportion is , A : B :: C : D ; it is sometimes written A : B = C : D . DEFINITIONS . 1.
... are equal , the A С quantities are said to be proportional : thus , if ; then , A is to B A B D B as C to D. And the abbreviations of the proportion is , A : B :: C : D ; it is sometimes written A : B = C : D . DEFINITIONS . 1.
Side 12
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 ...
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Vanlige uttrykk og setninger
ABCD altitude angle ABC angle BAC base bisected Book called centre chord circle circle ABC circumference coincide common consequently construction cosine definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular equilateral Euclid exterior angle extremity fall fore four fourth given given straight line greater half Hence inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism PROB produced PROP proportional proposition proved radius ratio reason rectangle contained rectilineal figure remaining right angles segment shewn sides similar sine solid spherical square straight line taken tangent THEOR third touch triangle ABC wherefore whole
Bibliografisk informasjon
| Tittel | 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 |
| Forfatter | John Playfair |
| Utgiver | W. E. Dean, 1840 |
| Original fra | Pennsylvania State-universitetet |
| Digitalisert | 22. mar 2010 |
| Lengde | 317 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |