The Elements of EuclidJohnson and Warner, 1811 - 518 páginas |
Dentro del libro
Resultados 1-5 de 100
Página 10
... straight lines that contain the angle meet one another , is put ' between the other two letters , and one of these two is some- where upon one of those straight lines , and the other upon the other line ... AB , CB , is named the angle ABC , ...
... straight lines that contain the angle meet one another , is put ' between the other two letters , and one of these two is some- where upon one of those straight lines , and the other upon the other line ... AB , CB , is named the angle ABC , ...
Página 15
... straight line . Let AB be the given straight line ; it is required to describe an equilateral triangle upon it . From the centre A , at the dis- tance AB , describe the circle BCD , and from the centre B , at the distance BA , describe ...
... straight line . Let AB be the given straight line ; it is required to describe an equilateral triangle upon it . From the centre A , at the dis- tance AB , describe the circle BCD , and from the centre B , at the distance BA , describe ...
Página 17
... angle DEF , and the angle ACB to DFE . CE D Book 1 . - For , if the triangle ABC be applied to DEF , so that the poi A may be on D , and the straight line AB upon DE ; the point B shall coincide with the point E , because AB is equal to DE ...
... angle DEF , and the angle ACB to DFE . CE D Book 1 . - For , if the triangle ABC be applied to DEF , so that the poi A may be on D , and the straight line AB upon DE ; the point B shall coincide with the point E , because AB is equal to DE ...
Página 22
... straight line AB is divided into two equal parts in the point D. Which was to be done . MA Α D B PROP . XI . PROB . TO draw a straight line at right angles to a given straight line , from a given point in the same . Let AB be , a given ...
... straight line AB is divided into two equal parts in the point D. Which was to be done . MA Α D B PROP . XI . PROB . TO draw a straight line at right angles to a given straight line , from a given point in the same . Let AB be , a given ...
Página 23
... PROP . XIII . THEOR . THE angles which one straight line makes with another upon the one side of it , are either two right angles , or are together equal to two right angles . Book 1 . Let the straight line AB make with OF EUCLID .
... PROP . XIII . THEOR . THE angles which one straight line makes with another upon the one side of it , are either two right angles , or are together equal to two right angles . Book 1 . Let the straight line AB make with OF EUCLID .
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