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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As , to draw one line perpendicular to another ; or to divide a line into two equal parts . 9. ... A Corollary , or Consectary , is a consequence drawn immediately from some proposition or other premises . 12.
As , to draw one line perpendicular to another ; or to divide a line into two equal parts . 9. ... A Corollary , or Consectary , is a consequence drawn immediately from some proposition or other premises . 12.
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A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . 14. A semicircle is the figure contained by a diameter and the part of the circumference cut off by the diameter . 15.
A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . 14. A semicircle is the figure contained by a diameter and the part of the circumference cut off by the diameter . 15.
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D If from the ends of one side of a triangle , there be drawn two straight lines to a point within the triangle , these two lines shall be less than the other two sides of the triangle , but shall contain a greater angle .
D If from the ends of one side of a triangle , there be drawn two straight lines to a point within the triangle , these two lines shall be less than the other two sides of the triangle , but shall contain a greater angle .
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A perpendicular is the shortest line that can be drawn from a point , situated without a straight line , to that line : any two oblique lines drawn from the same point on different sides of the perpendicular , cutting off equal ...
A perpendicular is the shortest line that can be drawn from a point , situated without a straight line , to that line : any two oblique lines drawn from the same point on different sides of the perpendicular , cutting off equal ...
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For if AGH be not equal to E GHD , let KG be drawn making the angle KGH equal to GHD , L and produce KG to L ; then KL A G -B will be parallel to CD ( 19. 1. ) ; but AB is also parallel to CD ; K therefore two straight lines are C -D ...
For if AGH be not equal to E GHD , let KG be drawn making the angle KGH equal to GHD , L and produce KG to L ; then KL A G -B will be parallel to CD ( 19. 1. ) ; but AB is also parallel to CD ; K therefore two straight lines are C -D ...
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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 distance 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 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 |
| Editor | W. E. Dean, 1836 |
| Largo | 311 páginas |
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