The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 41
... parallelogram ABCD and the triangle EBC be upon the same base BC , and between the same parallels BC , AE : the parallelogram ABCD shall be double of the triangle EBC . * Join AC : then the triangle ABC is equal to the triangle EBC ...
... parallelogram ABCD and the triangle EBC be upon the same base BC , and between the same parallels BC , AE : the parallelogram ABCD shall be double of the triangle EBC . * Join AC : then the triangle ABC is equal to the triangle EBC ...
Page 42
... parallelogram that shall be equal to the given triangle ABC , and have one of its angles equal to D. Bisect * BC in E , join AE , and at the point E in the straight line EC make the angle CEF * 31 . 1. equal to D ; and through A draw ...
... parallelogram that shall be equal to the given triangle ABC , and have one of its angles equal to D. Bisect * BC in E , join AE , and at the point E in the straight line EC make the angle CEF * 31 . 1. equal to D ; and through A draw ...
Page 43
... parallelogram , and AC its diameter , the triangle ABC is equal to the * 31. 1 . triangle ADC . Again , because EKHA is a parallelogram , the diameter of which is AK , the triangle AEK is equal † to the triangle AHK ; † 3⁄41⁄2 1 . and ...
... parallelogram , and AC its diameter , the triangle ABC is equal to the * 31. 1 . triangle ADC . Again , because EKHA is a parallelogram , the diameter of which is AK , the triangle AEK is equal † to the triangle AHK ; † 3⁄41⁄2 1 . and ...
Page 44
... parallelogram , of which the diameter is HK , and AG , ME are parallelograms about HK ; and LB , BF are the complements : therefore * 43.1 . LB is equal to BF : but BF is equal to the 1 Ax . triangle C ; wherefore LB is equal to the ...
... parallelogram , of which the diameter is HK , and AG , ME are parallelograms about HK ; and LB , BF are the complements : therefore * 43.1 . LB is equal to BF : but BF is equal to the 1 Ax . triangle C ; wherefore LB is equal to the ...
Page 45
... parallelogram * 2 Ax . KFLM . Therefore the parallelogram KFLM has been described equal to the given rectilineal figure ABCD , having the angle FKM equal to the given angle E. Which was to be done . * * 30 . 1 . + Const . + Def . COR ...
... parallelogram * 2 Ax . KFLM . Therefore the parallelogram KFLM has been described equal to the given rectilineal figure ABCD , having the angle FKM equal to the given angle E. Which was to be done . * * 30 . 1 . + Const . + Def . COR ...
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