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
... touch a circle , when it meets the cir- cle , and being produced does not cut it . And that line which has but . one point in common with the circumference , is called a tangent , and the point in com- mon , the point of contact . 3 ...
... touch a circle , when it meets the cir- cle , and being produced does not cut it . And that line which has but . one point in common with the circumference , is called a tangent , and the point in com- mon , the point of contact . 3 ...
Página 59
... touch one another internally , they cannot have the same centre . Let the two circles ABC , CDE , touch one another internally in the point C ; they have not the same centre . For , if they have , let it be F ; join FC , and draw any ...
... touch one another internally , they cannot have the same centre . Let the two circles ABC , CDE , touch one another internally in the point C ; they have not the same centre . For , if they have , let it be F ; join FC , and draw any ...
Página 63
... touch each other internally , the straight line which joins their centres being produced , will pass through the point of contact . Let the two circles ABC , ADE , touch each other internally in the point A , and let F be the centre of ...
... touch each other internally , the straight line which joins their centres being produced , will pass through the point of contact . Let the two circles ABC , ADE , touch each other internally in the point A , and let F be the centre of ...
Página 64
... touch each other inter- nally . PROP . XII . THEOR . If two circles touch each other externally , the straight line which joins their centres will pass through the point of contact . Let the two circles ABC , ADE , touch each other ...
... touch each other inter- nally . PROP . XII . THEOR . If two circles touch each other externally , the straight line which joins their centres will pass through the point of contact . Let the two circles ABC , ADE , touch each other ...
Página 69
... touch the circumfe- rence , and if , at the same time , the intercepted arcs EJF , EKF are equal , EF must be a diameter ( Th . 1. 3. ) ; and therefore AB , CD ( Cor . 3. Th . 16. 3. ) , are parallel . But if only one of the lines , as ...
... touch the circumfe- rence , and if , at the same time , the intercepted arcs EJF , EKF are equal , EF must be a diameter ( Th . 1. 3. ) ; and therefore AB , CD ( Cor . 3. Th . 16. 3. ) , are parallel . But if only one of the lines , as ...
Otras ediciones - Ver todas
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 |