The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 36
... figure , of which the opposite sides are parallel : and the diameter is the straight line joining two of its opposite angles . Let ACDB be a parallelogram , of which BC is a diameter : the opposite sides and angles of the figure shall ...
... figure , of which the opposite sides are parallel : and the diameter is the straight line joining two of its opposite angles . Let ACDB be a parallelogram , of which BC is a diameter : the opposite sides and angles of the figure shall ...
Page 37
... figures . shall be equal to the parallelogram EBCF . If the sides AD , DF of the parallelograms ABCD , DBCF , opposite to the base BC , be terminated in the same point D ; it is plain that each of the paral- B lelograms is double * of ...
... figures . shall be equal to the parallelogram EBCF . If the sides AD , DF of the parallelograms ABCD , DBCF , opposite to the base BC , be terminated in the same point D ; it is plain that each of the paral- B lelograms is double * of ...
Page 39
... figures EBCA , DBCF is at parallelogram : + Def . and EBCA is equal to DBCF , because they 35. L are upon the same base BC , and between the same parallels BC , EF ; and the triangle ABC is the half of the parallelogram EBCA , because ...
... figures EBCA , DBCF is at parallelogram : + Def . and EBCA is equal to DBCF , because they 35. L are upon the same base BC , and between the same parallels BC , EF ; and the triangle ABC is the half of the parallelogram EBCA , because ...
Page 42
... , GF 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 .
... , GF 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 44
... figure , and E the given rectilineal angle . It is required to describe a parallelogram equal to ABCD , and having ... figure FKML shall be the parallelogram required . + Const . Because the angle E is equal † to each of the † 1 Ax ...
... figure , and E the given rectilineal angle . It is required to describe a parallelogram equal to ABCD , and having ... figure FKML shall be the parallelogram required . + Const . Because the angle E is equal † to each of the † 1 Ax ...
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