The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 3
... figure contained by a dia- meter and the part of the circumference cut off by the diameter . 66 XIX . " A segment of a circle is the figure contained by a straight line , and the circumference it " cuts off . " XX . Rectilineal figures ...
... figure contained by a dia- meter and the part of the circumference cut off by the diameter . 66 XIX . " A segment of a circle is the figure contained by a straight line , and the circumference it " cuts off . " XX . Rectilineal figures ...
Page 34
... rectilineal figure , E together with four right angles , are equal to twice as many right angles as the figure has sides . For any rectilineal figure ABCDE , can be divided into as many triangles as the figure has sides , by drawing ...
... rectilineal figure , E together with four right angles , are equal to twice as many right angles as the figure has sides . For any rectilineal figure ABCDE , can be divided into as many triangles as the figure has sides , by drawing ...
Page 42
... rectilineal angle . It is required to describe a 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 ...
... rectilineal angle . It is required to describe a 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 ...
Page 44
... rectilineal figure , and having an angle equal to a given rectilineal angle . Let ABCD be the given rectilineal figure , and E the given rectilineal angle . It is required to describe a parallelogram equal to ABCD , and having an angle ...
... rectilineal figure , and having an angle equal to a given rectilineal angle . Let ABCD be the given rectilineal figure , and E the given rectilineal angle . It is required to describe a parallelogram equal to ABCD , and having an angle ...
Page 45
... triangle DBC to the paral- + Const . lelogram GM ; the whole rectilineal figure ABCD is equal to the whole parallelogram * 2 Ax . KFLM . Therefore the parallelogram KFLM has been described equal to the given rectilineal figure ABCD ...
... triangle DBC to the paral- + Const . lelogram GM ; the whole rectilineal figure ABCD is equal to the whole parallelogram * 2 Ax . KFLM . Therefore the parallelogram KFLM has been described equal to the given rectilineal figure ABCD ...
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