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 55
... tangent , and the point in com- mon , the point of contact . 3. Circles are said to touch one another , which meet , but do not cut one another . 4. Straight lines are said to be equally dis- tant from the centre of a circle , when the ...
... tangent , and the point in com- mon , the point of contact . 3. Circles are said to touch one another , which meet , but do not cut one another . 4. Straight lines are said to be equally dis- tant from the centre of a circle , when the ...
Página 68
... tangent to a circle is perpendicular to the diameter drawn from the point of contact . COR . 3. It follows , likewise , that tangents at each extremity of the dia- meter are parallel ( Cor . Th . 20. B. I. ) ; and , conversely ...
... tangent to a circle is perpendicular to the diameter drawn from the point of contact . COR . 3. It follows , likewise , that tangents at each extremity of the dia- meter are parallel ( Cor . Th . 20. B. I. ) ; and , conversely ...
Página 69
... tangent AB ; therefore AB , GH are parallel . If both lines cut the circle , as GH , JK , and intercept equal arcs GJ , HK ; let the diameter FE bisect one of the chords , as GH : it will also bisect the arc GEH , so that EG is equal to ...
... tangent AB ; therefore AB , GH are parallel . If both lines cut the circle , as GH , JK , and intercept equal arcs GJ , HK ; let the diameter FE bisect one of the chords , as GH : it will also bisect the arc GEH , so that EG is equal to ...
Página 78
... tangent , it follows that the angle included by two tangents , drawn from the same point , is bisected by a line B B A D F D B E A F D E A F drawn from the centre of the circle to that point ; for this line forms the hypo- tenuse common ...
... tangent , it follows that the angle included by two tangents , drawn from the same point , is bisected by a line B B A D F D B E A F D E A F drawn from the centre of the circle to that point ; for this line forms the hypo- tenuse common ...
Página 81
... tangents passing through the point A. For , by producing the tangent FD till it meets the circumference AG , and joining E and the point of intersection , and also A and the point where this last line will in- tersect the circumference ...
... tangents passing through the point A. For , by producing the tangent FD till it meets the circumference AG , and joining E and the point of intersection , and also A and the point where this last line will in- tersect the circumference ...
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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 |