The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 52
... is rectangular but it is also equilateral , as was + 30Def . demonstrated ; wherefore it is at square , and it is upon the side CB : for the same reason HF also and : is a square , and it is upon the side 52 EUCLID'S ELEMENTS . 52.
... is rectangular but it is also equilateral , as was + 30Def . demonstrated ; wherefore it is at square , and it is upon the side CB : for the same reason HF also and : is a square , and it is upon the side 52 EUCLID'S ELEMENTS . 52.
Page 57
... reason , PR is +1 Ax . equal to RO and because CB is equal to BD , and GK to KN , the rectangle CK is equal to * 56.1 . BN , and GR to RN : but CK is equal to RN , * 43 . 1 . because they are the complements of the paral- lelogram CO ...
... reason , PR is +1 Ax . equal to RO and because CB is equal to BD , and GK to KN , the rectangle CK is equal to * 56.1 . BN , and GR to RN : but CK is equal to RN , * 43 . 1 . because they are the complements of the paral- lelogram CO ...
Page 58
... reason each of the angles CEB , EBC is half a right angle ; and therefore the whole AEB is a right angle . And because the angle GEF is half a right angle , and EGF a right angle , for it is * 29. 1. equal to the interior and opposite ...
... reason each of the angles CEB , EBC is half a right angle ; and therefore the whole AEB is a right angle . And because the angle GEF is half a right angle , and EGF a right angle , for it is * 29. 1. equal to the interior and opposite ...
Page 60
... reason , each of the angles CEB , EBC , is half a right angle : there- fore AEB is a right angle . And because EBC is half a right angle , DBG is also * half a right angle , for they are vertically opposite ; but BDG is a right angle ...
... reason , each of the angles CEB , EBC , is half a right angle : there- fore AEB is a right angle . And because EBC is half a right angle , DBG is also * half a right angle , for they are vertically opposite ; but BDG is a right angle ...
Page 74
... ВА K GDH * 24 . 1. base BF is greater than the base CF : for the same reason CF is greater than GF : again , be- * 20. 1. cause GF , FE are greater than EG , and EG is equal to ED ; therefore GF , FE are 74 . EUCLID'S ELEMENTS .
... ВА K GDH * 24 . 1. base BF is greater than the base CF : for the same reason CF is greater than GF : again , be- * 20. 1. cause GF , FE are greater than EG , and EG is equal to ED ; therefore GF , FE are 74 . EUCLID'S ELEMENTS .
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