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 60
If any point be taken without a circle , and straight lines be drawn from it to the circumference , whereof one passes through the centre ; of those which fall upon the concave circumference , the greatest is that which passes through ...
If any point be taken without a circle , and straight lines be drawn from it to the circumference , whereof one passes through the centre ; of those which fall upon the concave circumference , the greatest is that which passes through ...
Página 62
It is obvious , that besides this , no other circumference can pass through the same points ; for the centre , lying in the per- pendicular DF bisecting the chord AB , and at the same time in the perpendicular EF A F 12 bisecting the ...
It is obvious , that besides this , no other circumference can pass through the same points ; for the centre , lying in the per- pendicular DF bisecting the chord AB , and at the same time in the perpendicular EF A F 12 bisecting the ...
Página 63
... the straight line which joins their centres being produced , will pass through the point of contact . ... the straight line which joins the cen- tres F , G , being produced , passes through the point A. H D G F E B For , if not ...
... the straight line which joins their centres being produced , will pass through the point of contact . ... the straight line which joins the cen- tres F , G , being produced , passes through the point A. H D G F E B For , if not ...
Página 64
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 externally in the point A ; and let F be the centre of ...
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 externally in the point A ; and let F be the centre of ...
Página 65
... bisects the angle at the centre , and passes through the middle of the arc subtended by that chord . ... hence every straight line which passes through two of the points just mentioned , will necessarily pass through the third ...
... bisects the angle at the centre , and passes through the middle of the arc subtended by that chord . ... hence every straight line which passes through two of the points just mentioned , will necessarily pass through the third ...
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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
ABCD altitude angle ABC angle BAC base bisected Book called centre chord circle circumference coincide common consequently construction cosine cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular equilateral Euclid exterior angle extremities fall fore four fourth given given straight line greater half Hence inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism Prob produced PROP proportional proposition proved radius ratio reason rectangle contained rectilineal figure remaining right angles segment shewn sides similar sine solid spherical square straight line taken tangent THEOR third touch 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 |
| Edición | 6 |
| Editor | W.E. Dean, 1836 |
| Largo | 311 páginas |
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