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 |
Dentro del libro
Página xiii
The method of constructing the Trigonometrical Tables is explained , and a demonstration is added of those properties of the sines and cosines of arches , which are the soundation of those applications of Trigonometry lately introduced ...
The method of constructing the Trigonometrical Tables is explained , and a demonstration is added of those properties of the sines and cosines of arches , which are the soundation of those applications of Trigonometry lately introduced ...
Página 66
And the straight line on which the greater perpendicular falls , is said to be farther from the centre B. An arch of a circle is any part of the circumference . V. A segment of a circle is the figure contained by a straight line ...
And the straight line on which the greater perpendicular falls , is said to be farther from the centre B. An arch of a circle is any part of the circumference . V. A segment of a circle is the figure contained by a straight line ...
Página 67
And an angle is said to insist or stand upon the arch intercepted between the straight lines which contain the angle . VIII . The sector of a circle is the figure contained by two straight lines drawn from the centre , and the arch of ...
And an angle is said to insist or stand upon the arch intercepted between the straight lines which contain the angle . VIII . The sector of a circle is the figure contained by two straight lines drawn from the centre , and the arch of ...
Página 83
22 In equal circles , equal angles stand upon equal arches , whether they be at the centres or circumferences . ... EHF at their centres , and BAC , EDF at their circumferences : the arch BKC is equal to the arch ELF .
22 In equal circles , equal angles stand upon equal arches , whether they be at the centres or circumferences . ... EHF at their centres , and BAC , EDF at their circumferences : the arch BKC is equal to the arch ELF .
Página 84
In equal circles , the angles which stand upon equal arches are equal to one another , whether they be at the centres ... when they are at the centre , the arch BK is equal to the arch EF : but EF is equal to BC ; therefore also BK is ...
In equal circles , the angles which stand upon equal arches are equal to one another , whether they be at the centres ... when they are at the centre , the arch BK is equal to the arch EF : but EF is equal to BC ; therefore also BK is ...
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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 |