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 67
An angle in a segment is the angle contained by two straight lines drawn from any point in the circumference of the segment , to the extremities of the straight line which is the base of the segment . VII .
An angle in a segment is the angle contained by two straight lines drawn from any point in the circumference of the segment , to the extremities of the straight line which is the base of the segment . VII .
Página 72
Ax. ) than the remainder GD , that is GD is less than KD : And because M MK , DK are drawn to the point K within the triangle MLD from M , D , the extremities of its side MD ; E MK , KD are less ( 21. 1. ) than ML ; LD , whereof MK is ...
Ax. ) than the remainder GD , that is GD is less than KD : And because M MK , DK are drawn to the point K within the triangle MLD from M , D , the extremities of its side MD ; E MK , KD are less ( 21. 1. ) than ML ; LD , whereof MK is ...
Página 77
The straight line drawn at right angles to the diameter of a circle , from the extremity of it , falls without the circle ; and no straight line can be drawn between that straight line and the circumference , from the extremity of the ...
The straight line drawn at right angles to the diameter of a circle , from the extremity of it , falls without the circle ; and no straight line can be drawn between that straight line and the circumference , from the extremity of the ...
Página 78
B D COR From this it is manifest , that the straight line which is drawn at right angles to the diameter of a circle from the extremity of it , touches the circle ; and that it touches it only in one point ; because , if it did meet the ...
B D COR From this it is manifest , that the straight line which is drawn at right angles to the diameter of a circle from the extremity of it , touches the circle ; and that it touches it only in one point ; because , if it did meet the ...
Página 88
to the base GB ; and the circle described from the centre G , at the distance GA , shall pass through the point B ; let this be the circle AHB : And because from the point A the extremity of the diameter AE , AD is drawn at right angles ...
to the base GB ; and the circle described from the centre G , at the distance GA , shall pass through the point B ; let this be the circle AHB : And because from the point A the extremity of the diameter AE , AD is drawn at right angles ...
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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 |