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 TrigonometryJ.B. Lippincott, 1857 - 317 pagine |
Dall'interno del libro
Risultati 1-5 di 52
Pagina 4
... definition , except that of EUCLID , has ever been given , from which the properties of proportionals can be deduced ... definitions in the first Book , and particularly on that of a straight line . A new axiom is also introduced in the ...
... definition , except that of EUCLID , has ever been given , from which the properties of proportionals can be deduced ... definitions in the first Book , and particularly on that of a straight line . A new axiom is also introduced in the ...
Pagina 5
... Definitions , Propositions , Axioms , Theorems , Problems , Lemmas , Scho liums , Corollaries , & c . 3. A Definition ... definition ought to be clear , and expressed in words that are common and perfectly well understood . 4. An Axiom ...
... Definitions , Propositions , Axioms , Theorems , Problems , Lemmas , Scho liums , Corollaries , & c . 3. A Definition ... definition ought to be clear , and expressed in words that are common and perfectly well understood . 4. An Axiom ...
Pagina 7
... on . In like manner , ( 3. Ax . ) designates the third axiom ; ( 2. Post . ) the second postulate ; ( Def . 3. ) the third definition , and so on 7. An Indirect or Negative Demonstration ly occurs . Το OF GEOMETRY . BOOK I. 9.
... on . In like manner , ( 3. Ax . ) designates the third axiom ; ( 2. Post . ) the second postulate ; ( Def . 3. ) the third definition , and so on 7. An Indirect or Negative Demonstration ly occurs . Το OF GEOMETRY . BOOK I. 9.
Pagina 8
... DEFINITIONS . 1. " A POINT is that which has position , but not magnitude * . " ( See Notes . ) 2. A line is length without breadth . " COROLLARY . The extremities of a line are points ; and the intersections " of one line with another ...
... DEFINITIONS . 1. " A POINT is that which has position , but not magnitude * . " ( See Notes . ) 2. A line is length without breadth . " COROLLARY . The extremities of a line are points ; and the intersections " of one line with another ...
Pagina 12
... Definition ) to AB ; and because the point B is the centre of the cir- cle 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 cir- cle 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 ...
Altre edizioni - Visualizza tutto
Elements of Geometry: Containing the First Six Books of Euclid, with a ... Euclid,John Playfair Visualizzazione completa - 1853 |
Elements of Geometry: Containing the First Six Books of Euclid, with a ... Euclid,John Playfair Visualizzazione completa - 1851 |
Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Visualizzazione completa - 1836 |
Parole e frasi comuni
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal given straight line greater Hence hypotenuse inscribed join less Let ABC magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular plane polygon prism PROB PROP proportional proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore