The Elements of EuclidJohnson and Warner, 1811 - 518 Seiten |
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Seite viii
... note on the 29th prop . book 1st , is altered , and made more explicit , and a more general demon- stration is given , instead of that which was in the note on the 10th definition of book 11th ; besides , the translation is much amended ...
... note on the 29th prop . book 1st , is altered , and made more explicit , and a more general demon- stration is given , instead of that which was in the note on the 10th definition of book 11th ; besides , the translation is much amended ...
Seite 19
... Note . equal to one another , and likewise those which are terminated in the other extremity . If it be possible , let there be two triangles ACB , ADB , up- on the same base AB , and upon the same side of it , which have their sides CA ...
... Note . equal to one another , and likewise those which are terminated in the other extremity . If it be possible , let there be two triangles ACB , ADB , up- on the same base AB , and upon the same side of it , which have their sides CA ...
Seite 22
... Note . it is required to draw a straight line from the point C at right angles to AB . 23. 1 . b 1. 1 . 8. 1 . F Take any point D in AC , and a make CE equal to CD , and upon DE describe b the equi- lateral triangle DFE , and join FC ...
... Note . it is required to draw a straight line from the point C at right angles to AB . 23. 1 . b 1. 1 . 8. 1 . F Take any point D in AC , and a make CE equal to CD , and upon DE describe b the equi- lateral triangle DFE , and join FC ...
Seite 29
... the triangle KFG has its sides equal to D the three straight lines A , B , C. See Note . a_20.1 . a 3. 1 . E G H b 3. Post . L Because the point F is the centre of the circle DKL , FD is Book I. c equal to FK ; but FD is OF EUCLID . 29.
... the triangle KFG has its sides equal to D the three straight lines A , B , C. See Note . a_20.1 . a 3. 1 . E G H b 3. Post . L Because the point F is the centre of the circle DKL , FD is Book I. c equal to FK ; but FD is OF EUCLID . 29.
Seite 30
... Note . be equal to the three B straight lines CD , DE , CE , so that CD be equal to AF , CE , to AG , and DE to FG ; and because DC , CE are equal to FA , AG , each to each , and the base DE to the base FG ; the angle DCE is equal to ...
... Note . be equal to the three B straight lines CD , DE , CE , so that CD be equal to AF , CE , to AG , and DE to FG ; and because DC , CE are equal to FA , AG , each to each , and the base DE to the base FG ; the angle DCE is equal to ...
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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