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 |
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Página 66
A straight line is said to touch a circle , when it meets the circle , and being produced does not cut it . II . Circles are said to touch one another , which meet , but do not cut one another . III . Straight lines are said to be ...
A straight line is said to touch a circle , when it meets the circle , and being produced does not cut it . II . Circles are said to touch one another , which meet , but do not cut one another . III . Straight lines are said to be ...
Página 70
If two circles 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 bave not the same centre ...
If two circles 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 bave not the same centre ...
Página 73
Therefore one circumference of a circle canG pot cut another in more than two points . Q. E. D. PROP . XI . THEOR . If two circles touch each other internally , the straight line which joins their centres being produced , will pass ...
Therefore one circumference of a circle canG pot cut another in more than two points . Q. E. D. PROP . XI . THEOR . If two circles touch each other internally , the straight line which joins their centres being produced , will pass ...
Página 74
Let the two circles ABC , ADE , touch each other externally ia the point A ; and let F be the centre of the circle ABC ... One circle cannot touch another in more points than one , whether it touches it on the inside or outside .
Let the two circles ABC , ADE , touch each other externally ia the point A ; and let F be the centre of the circle ABC ... One circle cannot touch another in more points than one , whether it touches it on the inside or outside .
Página 75
Nor can two circles touch one another on the outside in more than one point : For , if it be possible , let the circle ACK touch the circle ABC in the points A , C , and join AC : Therefore , because the ...
Nor can two circles touch one another on the outside in more than one point : For , if it be possible , let the circle ACK touch the circle ABC in the points A , C , and join AC : Therefore , because the ...
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Términos y frases comunes
ABC is equal ABCD altitude angle ABC angle BAC arch base bisected Book called centre circle circle ABC circumference coincide common cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular Euclid exterior angle extremity fall fore four fourth given given straight line greater half inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism produced PROP proportionals proposition proved radius ratio reason rectangle contained rectilineal figure right angles segment shewn sides similar sine solid square straight line taken tangent THEOR thing third touches triangle ABC wherefore whole
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 |
| Editor | E. Duyckinck, and George Long, 1824 |
| Procedencia del original | Universidad de Indiana |
| Digitalizado | 15 Ene. 2009 |
| Largo | 333 páginas |
| Exportar cita | BiBTeX EndNote RefMan |