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 xv
If , for example , it be alleged , that it is needless to demonstrate that any two sides of a triangle are greater than the third ; it may be replied , that this is no doubt a truth which , without proof , most men will be inclined to ...
If , for example , it be alleged , that it is needless to demonstrate that any two sides of a triangle are greater than the third ; it may be replied , that this is no doubt a truth which , without proof , most men will be inclined to ...
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Of three sided figures , an equilateral triangle is that which has three equal sides , XX . An isosceles triangle is that which has only two sides equal . AAN XXI . A scalene triangle , is that which has three unequal sides .
Of three sided figures , an equilateral triangle is that which has three equal sides , XX . An isosceles triangle is that which has only two sides equal . AAN XXI . A scalene triangle , is that which has three unequal sides .
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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 .
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THEOREM . of A ܪ If two triangles have two sides of the one equal to two sides of the other , each to each ; and have likewise the angles contained by those sides equal to one another , their bases , or third sides , shall be equal ...
THEOREM . of A ܪ If two triangles have two sides of the one equal to two sides of the other , each to each ; and have likewise the angles contained by those sides equal to one another , their bases , or third sides , shall be equal ...
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Therefore , if two triangles have two sides of the one equal to two sides of the other , each to each , and have likewise the angles contained by those sides equal to one another ; their bases shall be equal , and their areas shall be ...
Therefore , if two triangles have two sides of the one equal to two sides of the other , each to each , and have likewise the angles contained by those sides equal to one another ; their bases shall be equal , and their areas shall be ...
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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
Información bibliográfica
| Título | 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 |
| Autor | John Playfair |
| Editor | E. Duyckinck, and George Long, 1824 |
| Procedencia del original | Universidad de Indiana |
| Digitalizado | 15 Ene. 2009 |
| Largo | 333 páginas |
| Exportar cita | BiBTeX EndNote RefMan |