The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 4
Of three - sided figures , an equilateral triangle is that which has three equal sides XXV . An isosceles triangle is that which has only two sides equal . XXVI . A scalene triangle is that which has three unequal sides . XXVII .
Of three - sided figures , an equilateral triangle is that which has three equal sides XXV . An isosceles triangle is that which has only two sides equal . XXVI . A scalene triangle is that which has three unequal sides . XXVII .
Page 5
Of four - sided figures , a square is that which has all its sides equal , and all its angles right anglese XXXI . An oblong is that which has all its angles right angles , but has not all its sides equal . XXXII .
Of four - sided figures , a square is that which has all its sides equal , and all its angles right anglese XXXI . An oblong is that which has all its angles right angles , but has not all its sides equal . XXXII .
Page 10
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 ; they shall likewise have their buses , or third sides , equal ; and ...
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 ; they shall likewise have their buses , or third sides , equal ; and ...
Page 11
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 likewise be equal , and the triangles ...
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 likewise be equal , and the triangles ...
Page 12
THEOR , If two angles of a triangle be egual to one another , the sides also which subtend or are opposite to the equal ... Let ABC be a triangle having the angle ABC equal to the angle ACB : the side AB shall be equal to the side AC .
THEOR , If two angles of a triangle be egual to one another , the sides also which subtend or are opposite to the equal ... Let ABC be a triangle having the angle ABC equal to the angle ACB : the side AB shall be equal to the side AC .
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The Elements of Euclid: Viz. The First Six Books, Together With the Eleventh ... Euclid Euclid No preview available - 2018 |
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altitude angle ABC angle BAC base base BC BC is equal centre circle ABCD circumference common cone Const contained cylinder demonstrated described diameter divided double draw drawn equal angles equiangular equilateral equimultiples extremities fall figure fore four fourth given given straight line greater half inscribed join less Let ABC likewise magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism PROB produced PROP proportionals proved pyramid ratio reason rectangle contained rectilineal figure remaining angle right angles segment shown sides similar solid solid angle solid parallelopiped sphere square taken THEOR third touches triangle ABC vertex wherefore whole