Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical Trigonometry |
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Página ix
termine two straight lines that shall differ very little from one another , not more , for instance , than the four hundred and ninety - seventh part of the diameter of the circle , and of which the one shall be greater than the ...
termine two straight lines that shall differ very little from one another , not more , for instance , than the four hundred and ninety - seventh part of the diameter of the circle , and of which the one shall be greater than the ...
Página 19
Quadrilateral , by four straight lines . XVIII . Multilateral figures , or polygons , by more than four straight lines XIX . Of three sided figures , an equilateral triangle is that which has three equal sides , XX .
Quadrilateral , by four straight lines . XVIII . Multilateral figures , or polygons , by more than four straight lines XIX . Of three sided figures , an equilateral triangle is that which has three equal sides , XX .
Página 20
Of four sided figures , a square is that which has all its sides equal and all its angles right angles . XXVI . An oblong , is that which has all its angles right angles , " ut has not all its sides equal . XXVII .
Of four sided figures , a square is that which has all its sides equal and all its angles right angles . XXVI . An oblong , is that which has all its angles right angles , " ut has not all its sides equal . XXVII .
Página 31
From this it is manifest , that if two straight lines cut one anotber , the angles which they make at the point of their intersection , are together equal to four right angles . Cor . 2. And bence , all the angles made by any number of ...
From this it is manifest , that if two straight lines cut one anotber , the angles which they make at the point of their intersection , are together equal to four right angles . Cor . 2. And bence , all the angles made by any number of ...
Página 40
Neither do they meet on the other side of EF ; for the angles LGH , GHD would then be twó angles of a triangle , and less than two right angles ; but this is impossible ; for the four angles KGH , HGL , CHG , G Dare together equal to ...
Neither do they meet on the other side of EF ; for the angles LGH , GHD would then be twó angles of a triangle , and less than two right angles ; but this is impossible ; for the four angles KGH , HGL , CHG , G Dare together equal to ...
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ABC is equal ABCD altitude angle ABC angle BAC arch base bisected Book called centre circle circle ABC circumference coincide common cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular Euclid exterior angle extremity fall fore four fourth given given straight line greater half inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism produced PROP proportionals proposition proved radius ratio reason rectangle contained rectilineal figure right angles segment shewn sides similar sine solid square straight line taken tangent THEOR thing third touches triangle ABC wherefore whole