The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 42
... parallelograms about AC , that is , through which AC passes and BK , KD the other parallelograms which make up the whole figure ABCD , which are B G therefore called the complements . The comple- ment BK shall 42 EUCLID'S ELEMENTS .
... parallelograms about AC , that is , through which AC passes and BK , KD the other parallelograms which make up the whole figure ABCD , which are B G therefore called the complements . The comple- ment BK shall 42 EUCLID'S ELEMENTS .
Page 71
... pass through the centre , it shall cut it at right angles and if it cuts it at right angles it shall bisect it . Let ABC be a circle ; and let CD , a straight line drawn through the centre , bisect any straight line AB , which does not pass ...
... pass through the centre , it shall cut it at right angles and if it cuts it at right angles it shall bisect it . Let ABC be a circle ; and let CD , a straight line drawn through the centre , bisect any straight line AB , which does not pass ...
Page 72
... pass through the centre : AC , BD , shall not bisect one another . For , if it is possible , let AE be equal to EC , and BE to ED . If one of the lines pass through the centre , it is plain that it cannot be bisected by the other which ...
... pass through the centre : AC , BD , shall not bisect one another . For , if it is possible , let AE be equal to EC , and BE to ED . If one of the lines pass through the centre , it is plain that it cannot be bisected by the other which ...
Page 74
... passes through the centre is always greater than one more remote : and from the same point there can be drawn only two straight lines that are equal to one another , one upon each side of the shortest line . Let ABCD be a circle , and ...
... passes through the centre is always greater than one more remote : and from the same point there can be drawn only two straight lines that are equal to one another , one upon each side of the shortest line . Let ABCD be a circle , and ...
Page 75
... passes through the centre ; of those which fall upon the concave circumference , the greatest is that which passes through the centre , and of the rest , that which is nearer to the one passing through the centre is always greater than ...
... passes through the centre ; of those which fall upon the concave circumference , the greatest is that which passes through the centre , and of the rest , that which is nearer to the one passing through the centre is always greater than ...
Other editions - View all
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Euclid No preview available - 2015 |
The Elements of Euclid: Viz. the First Six Books, Together With the Eleventh ... Euclid No preview available - 2023 |
Common terms and phrases
AB is equal altitude angle ABC angle ACB angle BAC angle EDF base BC base DEF BC is equal bisected centre circle ABCD circle EFGH circumference cone Const cylinder described diameter draw equal angles equal to AC equiangular equilateral equimultiples exterior angle fore given rectilineal given straight line gnomon inscribed join less Let ABC multiple parallel parallelogram perpendicular point F polygon prism PROB pyramid ABCG pyramid DEFH Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment solid angle solid CD solid parallelopiped sphere square of AC straight line AB straight line AC THEOR three plane angles tiple touches the circle triangle ABC triangle DEF triplicate ratio wherefore whole