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 TrigonometryW.E. Dean, 1836 - 311 páginas |
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... 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 ...
Página 1
... 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 ...
Página 3
... 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 word , therefore , or hence , frequently OF GEOMETRY . BOOK I.
... 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 word , therefore , or hence , frequently OF GEOMETRY . BOOK I.
Página 4
... 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 ...
Página 24
... Definitions 24 and 25 , where the four angles of a quadrilateral are said to be right , in the case of the rectan- gle and the square . COR . 3. The sum of the angles of a pentagon is equal to two right an- gles multiplied by 5-2 ...
... Definitions 24 and 25 , where the four angles of a quadrilateral are said to be right , in the case of the rectan- gle and the square . COR . 3. The sum of the angles of a pentagon is equal to two right an- gles multiplied by 5-2 ...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Vista de fragmentos - 1836 |
Términos y frases comunes
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided draw Prob equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROP 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
Información bibliográfica
| Título | 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 |
| Autor | John Playfair |
| Edición | 6 |
| Editor | W.E. Dean, 1836 |
| Largo | 311 páginas |
| Exportar cita | BiBTeX EndNote RefMan |