The Elements of Euclid, Libros 1-6;Libro 11 |
Dentro del libro
Resultados 1-3 de 28
Página 135
a When four magnitudes are proportionals it is usually expressed by saying , the first is to the second as the third is to the fourth . 7. When of the equimultiples of four magnitudes , taken as in the fifth definition , the multiple of ...
a When four magnitudes are proportionals it is usually expressed by saying , the first is to the second as the third is to the fourth . 7. When of the equimultiples of four magnitudes , taken as in the fifth definition , the multiple of ...
Página 136
Permutando , or alternando , by permutation or alternately ; when there are four proportionals , and it is inferred that the first is to the third , as the second is to the fourth . V. 16 . 14. Invertendo , by inversion ; when there are ...
Permutando , or alternando , by permutation or alternately ; when there are four proportionals , and it is inferred that the first is to the third , as the second is to the fourth . V. 16 . 14. Invertendo , by inversion ; when there are ...
Página 171
If the first have to the second the same ratio which the third has to the fourth , and the fifth have to the second the same ratio which the sixth has to the fourth , then the first and fifth together shall have to the second the same ...
If the first have to the second the same ratio which the third has to the fourth , and the fifth have to the second the same ratio which the sixth has to the fourth , then the first and fifth together shall have to the second the same ...
Comentarios de la gente - Escribir un comentario
No encontramos ningún comentario en los lugares habituales.
Otras ediciones - Ver todas
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