The Elements of EuclidLongmans, Green and Company, 1866 - 376 páginas |
Dentro del libro
Resultados 1-5 de 29
Página 172
... multiple of the first be equal to that of the second , the multiple of the third is also equal to that of the fourth , or , if greater , greater , or if less , less . VI . Magnitudes which have the same ratio to one another are called ...
... multiple of the first be equal to that of the second , the multiple of the third is also equal to that of the fourth , or , if greater , greater , or if less , less . VI . Magnitudes which have the same ratio to one another are called ...
Página 173
... multiple of the first is greater than that of the second , but the multiple of the third is not greater than the multiple of the fourth ; then the first is said to have to the second a greater ratio than the third has to the fourth ...
... multiple of the first is greater than that of the second , but the multiple of the third is not greater than the multiple of the fourth ; then the first is said to have to the second a greater ratio than the third has to the fourth ...
Página 175
... multiple of a greater magnitude is greater than the same multiple of a less . IV . That magnitude , of which a multiple is BOOK V. 175.
... multiple of a greater magnitude is greater than the same multiple of a less . IV . That magnitude , of which a multiple is BOOK V. 175.
Página 176
... multiple any one of them is of its part , the same multiple shall all the first magnitudes be of all the other . Let any number of magnitudes AB , CD be equimul- tiples of as many others E , F , each of each : whatever multiple AB is of ...
... multiple any one of them is of its part , the same multiple shall all the first magnitudes be of all the other . Let any number of magnitudes AB , CD be equimul- tiples of as many others E , F , each of each : whatever multiple AB is of ...
Página 177
... multiple of the second that the sixth is of the fourth , then shall the first together with the fifth be the same multiple of the second , that the third together with the sixth is of the fourth . D Let AB the first be the same multiple ...
... multiple of the second that the sixth is of the fourth , then shall the first together with the fifth be the same multiple of the second , that the third together with the sixth is of the fourth . D Let AB the first be the same multiple ...
Términos y frases comunes
AB² ABCD AC² AD² adjacent angles angle ABC angle ACB angle BAC angle equal base BC BC is equal centre chord circle ABC circumference diameter double draw equal angles equal to F equiangular equilateral triangle equimultiples exterior angle fore given circle given line given point given rectilineal given straight line gnomon hypotenuse inscribed intersection isosceles triangle join less Let ABC lines be drawn lines drawn meet multiple opposite angles parallel to BC parallelogram perpendicular plane polygon PROB produced proportionals Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment semicircle shew shewn square on AC tangents THEOR touches the circle triangle ABC twice the rectangle vertex Wherefore