The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 7
... whole is greater than its part . X. Two straight lines cannot inclose a space . XI . All right angles are equal to one another . XII . ' If a straight line meets two straight lines , so " as to make the two interior angles on the 66 66 ...
... whole is greater than its part . X. Two straight lines cannot inclose a space . XI . All right angles are equal to one another . XII . ' If a straight line meets two straight lines , so " as to make the two interior angles on the 66 66 ...
Page 10
... whole triangle ABC coincides with the whole triangle DEF , and is equal to it ; and the 10 EUCLID'S ELEMENTS .
... whole triangle ABC coincides with the whole triangle DEF , and is equal to it ; and the 10 EUCLID'S ELEMENTS .
Page 12
... whole AF is equal to the whole AG , of which the parts AB , AC , are * 3 Ax . equal ; the remainder BF is equal to the re- mainder CG ; and FC was proved to be equal to GB ; therefore the two sides BF , FC are equal to the two CG , GB ...
... whole AF is equal to the whole AG , of which the parts AB , AC , are * 3 Ax . equal ; the remainder BF is equal to the re- mainder CG ; and FC was proved to be equal to GB ; therefore the two sides BF , FC are equal to the two CG , GB ...
Page 23
... . In the same manner it may be Because AD is equal † to AC , add BA to each , therefore † Const the whole BD is equal † to the two BA and AC . +2 Ax . demonstrated , that the sides AB , BC are greater BOCK I PROP . XX . 23.
... . In the same manner it may be Because AD is equal † to AC , add BA to each , therefore † Const the whole BD is equal † to the two BA and AC . +2 Ax . demonstrated , that the sides AB , BC are greater BOCK I PROP . XX . 23.
Page 34
... whole +2 Ax .. exterior angle ACD is equal † to the two interior and opposite angles CAB , ABC : to each of these equals add the angle ACB , and the angles ACD , +2 Ax . ACB are equal † to the three angles CBA , BAC , * 13 . 1. ACB ...
... whole +2 Ax .. exterior angle ACD is equal † to the two interior and opposite angles CAB , ABC : to each of these equals add the angle ACB , and the angles ACD , +2 Ax . ACB are equal † to the three angles CBA , BAC , * 13 . 1. ACB ...
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