The Elements of EuclidJohnson and Warner, 1811 - 518 páginas |
Dentro del libro
Resultados 1-5 de 33
Página 11
... figure contained by a diameter and the part of the circumference cut off by that diameter . XIX . " A segment of a circle is the figure contained by a straight " line , and the circumference it cuts off . " XX . Rectilineal figures are ...
... figure contained by a diameter and the part of the circumference cut off by that diameter . XIX . " A segment of a circle is the figure contained by a straight " line , and the circumference it cuts off . " XX . Rectilineal figures are ...
Página 37
... rectilineal figure , together with four right angles , are equal to twice as many right angles as the figure has sides . For any rectilineal figure ABCDE can be divided into as many trian- gles as the figure has sides , by drawing ...
... rectilineal figure , together with four right angles , are equal to twice as many right angles as the figure has sides . For any rectilineal figure ABCDE can be divided into as many trian- gles as the figure has sides , by drawing ...
Página 38
... figure has sides . a 2 Cor . 15. 1 . b 13. 1 . COR . 2. All the exterior angles of any rectilineal figure , are together equal to four right angles . Because every interior angle ABC , with its adjacent exterior ABD , is equal to two ...
... figure has sides . a 2 Cor . 15. 1 . b 13. 1 . COR . 2. All the exterior angles of any rectilineal figure , are together equal to four right angles . Because every interior angle ABC , with its adjacent exterior ABD , is equal to two ...
Página 46
... rectilineal figure , and E the given rectilineal angle . It is required to describe a parallelogram equal to ABCD , and having an angle equal to E. Join DB , and describe a the parallelogram FH equal to the triangle ADB , and having the ...
... rectilineal figure , and E the given rectilineal angle . It is required to describe a parallelogram equal to ABCD , and having an angle equal to E. Join DB , and describe a the parallelogram FH equal to the triangle ADB , and having the ...
Página 47
... triangle DBC to the parallelogram GM ; the whole rectilineal figure ABCD is equal to the whole parallelogram KFLM ; therefore the pa- rallelogram KFLM has been described equal to the given rec- tilineal figure ABCD , having the angle ...
... triangle DBC to the parallelogram GM ; the whole rectilineal figure ABCD is equal to the whole parallelogram KFLM ; therefore the pa- rallelogram KFLM has been described equal to the given rec- tilineal figure ABCD , having the angle ...
Otras ediciones - Ver todas
Términos y frases comunes
altitude angle ABC angle BAC base BC BC is equal BC is given bisected Book XI centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC meet multiple parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition pyramid Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar solid angle solid parallelopiped square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore