The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 3
... figure is that which is inclosed by one or more boundaries . XV . A circle is a plane figure contained by one line , which is called the circumference , and is such that all straight lines drawn from a certain point within the figure to ...
... figure is that which is inclosed by one or more boundaries . XV . A circle is a plane figure contained by one line , which is called the circumference , and is such that all straight lines drawn from a certain point within the figure to ...
Page 4
... figures are those which are contained by straight lines . • XXI . Trilateral figures , or triangles , by three straight lines . XXII . Quadrilateral , by four straight lines . XXIII . Multilateral figures , or polygons , by more than ...
... figures are those which are contained by straight lines . • XXI . Trilateral figures , or triangles , by three straight lines . XXII . Quadrilateral , by four straight lines . XXIII . Multilateral figures , or polygons , by more than ...
Page 5
... figures , a square is that which has all its sides equal , and all its angles right angles XXXI . An oblong is that which has all its an- gles right angles , but has not all its sides equal . XXXII . A rhombus is that which has all its ...
... figures , a square is that which has all its sides equal , and all its angles right angles XXXI . An oblong is that which has all its an- gles right angles , but has not all its sides equal . XXXII . A rhombus is that which has all its ...
Page 34
... figure has sides . For any rectilineal figure ABCDE , can be divided into as many triangles as the figure has sides , by drawing straight lines from a point F within the figure to each of its angles . And , by the preceding proposition ...
... figure has sides . For any rectilineal figure ABCDE , can be divided into as many triangles as the figure has sides , by drawing straight lines from a point F within the figure to each of its angles . And , by the preceding proposition ...
Page 35
... figure , are equal to twice as many right D angles as there are sides of B the figure ; that is , by the foregoing corollary , they are equal to all the interior angles of the figure , together with four right angles ; there- fore all ...
... figure , are equal to twice as many right D angles as there are sides of B the figure ; that is , by the foregoing corollary , they are equal to all the interior angles of the figure , together with four right angles ; there- fore all ...
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