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 48
TE It is required to describe a parallelogram that shall be equal to the given triangle ABC , and have one of its angles equal to D. Bisect ( 10. 1. ) BC in E , join AE , and at the point E in the straight line EC make ( 23 1. ) ...
TE It is required to describe a parallelogram that shall be equal to the given triangle ABC , and have one of its angles equal to D. Bisect ( 10. 1. ) BC in E , join AE , and at the point E in the straight line EC make ( 23 1. ) ...
Página 56
If a straight line be bisected , and produced to any point ; the rectangle contained by the whole line thus produced , and the part of it produced , together with the square of half the line bisected , is equal to the square of the ...
If a straight line be bisected , and produced to any point ; the rectangle contained by the whole line thus produced , and the part of it produced , together with the square of half the line bisected , is equal to the square of the ...
Página 60
If a straight line be bisected , and produced to any point , the square of the whole line thus produced , and the square of the part of it produced , are together double of the square of half the line bisected , and of the square of the ...
If a straight line be bisected , and produced to any point , the square of the whole line thus produced , and the square of the part of it produced , are together double of the square of half the line bisected , and of the square of the ...
Página 61
the square ABDC ; bisect ( 10. 1. ) AC in E , and join BE ; produce CA to F , and make ( 3. 1. ) EF equal to EB , and upon AF describe ( 46. 1. ) the square FGHA ; AB is divided in H , so that the rectangle AB , BH is equal to the ...
the square ABDC ; bisect ( 10. 1. ) AC in E , and join BE ; produce CA to F , and make ( 3. 1. ) EF equal to EB , and upon AF describe ( 46. 1. ) the square FGHA ; AB is divided in H , so that the rectangle AB , BH is equal to the ...
Página 63
... but if they are not equal , produce one of them , BE to F , and make EF equal to ED , and bisect BF in G : and from the centre G , at the distance GB , or GF , describe the semicircle BHF and produce DE to H , and join GH .
... but if they are not equal , produce one of them , BE to F , and make EF equal to ED , and bisect BF in G : and from the centre G , at the distance GB , or GF , describe the semicircle BHF and produce DE to H , and join GH .
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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 |