The Elements of Euclid, Libros 1-6;Libro 11 |
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Página 62
If a straight line be divided into two equal , and also into two unequal parts , the squares on the two unequal parts are together double of the square on half the line and of the square on the line between the points of section .
If a straight line be divided into two equal , and also into two unequal parts , the squares on the two unequal parts are together double of the square on half the line and of the square on the line between the points of section .
Página 64
If a straight line be bisected , and produced to any point , the square on the whole line thús produced , and the square on the part of it produced , are together double of the square on half the line bisected and of the square on the ...
If a straight line be bisected , and produced to any point , the square on the whole line thús produced , and the square on the part of it produced , are together double of the square on half the line bisected and of the square on the ...
Página 244
If from the greater of two unequal magnitudes there be taken more than its half , and from the remainder more than its half , and so on , there shall at length re . main a magnitude less than the smaller of the proposed magnitudes .
If from the greater of two unequal magnitudes there be taken more than its half , and from the remainder more than its half , and so on , there shall at length re . main a magnitude less than the smaller of the proposed magnitudes .
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Términos y frases comunes
ABCD angle ABC angle ACB angle BAC Axiom base BC is equal bisected Book centre circle circle ABC circumference common Construction contained Corollary Definition demonstration described diameter divided double draw drawn edition Elements equal equal angles equiangular equilateral equimultiples Euclid exterior angle extremities fall figure four fourth given straight line greater half Hypothesis impossible join less Let ABC magnitudes manner meet multiple namely parallel parallelogram pass perpendicular plane polygon PROBLEM produced proportionals Q.E.D. PROPOSITION ratio reason rectangle rectangle contained rectilineal figure right angles segment shewn sides similar Simson solid square straight line &c suppose Take taken THEOREM third touches the circle triangle ABC Wherefore whole
Información bibliográfica
| Título | The Elements of Euclid, Libros 1-6;Libro 11 Tema 891 de Everyman's library Tema 891 de Everyman's library, ed. by Ernest Rhys. Science. [No. 891] Tema 891 de Everyman's library: Science |
| Autor | Euclid |
| Editores | Isaac Todhunter, Robert Simson |
| Editor | J.M. Dent & Sons, Limited, 1933 |
| Procedencia del original | Universidad de California, Berkeley |
| Digitalizado | 5 Ago. 2019 |
| Largo | 298 páginas |
| Exportar cita | BiBTeX EndNote RefMan |