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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Página 4
... coincide " in part , without coinciding altogether . " 4. A superficies is that which has only length and breadth . " COR . The extremities of a superficies are lines ; and the intersections of one superficies with another are also ...
... coincide " in part , without coinciding altogether . " 4. A superficies is that which has only length and breadth . " COR . The extremities of a superficies are lines ; and the intersections of one superficies with another are also ...
Página 7
... coincide in all their points of this kind are two circles , which have equal radii ; two triangles , which have all their sides equal respectively , & c . POSTULATES . 1. LET it be granted that a straight line may be drawn from any one ...
... coincide in all their points of this kind are two circles , which have equal radii ; two triangles , which have all their sides equal respectively , & c . POSTULATES . 1. LET it be granted that a straight line may be drawn from any one ...
Página 8
... coincide throughout their whole extent . They then fill the same space . 9. The whole is greater than any of its parts . 10. The whole is equal to the sum of all its parts . 11. All right angles are equal to one another . 12. " Two ...
... coincide throughout their whole extent . They then fill the same space . 9. The whole is greater than any of its parts . 10. The whole is equal to the sum of all its parts . 11. All right angles are equal to one another . 12. " Two ...
Página 9
... coincides with the point E ; wherefore the base BC shall coincide with the base EF ( cor . def . 3. ) , and shall be equal to it . Therefore also the whole triangle ABC shall coincide with the whole triangle DEF , so that the spaces ...
... coincides with the point E ; wherefore the base BC shall coincide with the base EF ( cor . def . 3. ) , and shall be equal to it . Therefore also the whole triangle ABC shall coincide with the whole triangle DEF , so that the spaces ...
Página 20
... coinciding with one another , which is impossible ( 11. Ax . ) . The angles AGH , GHD therefore are not unequal , that is , they are equal to one another . Now , the angle EGB is equal to AGH ( 8. 1. ) ; and AGH is proved to be equal to ...
... coinciding with one another , which is impossible ( 11. Ax . ) . The angles AGH , GHD therefore are not unequal , that is , they are equal to one another . Now , the angle EGB is equal to AGH ( 8. 1. ) ; and AGH is proved to be equal to ...
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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 |