The Elements of EuclidJohnson and Warner, 1811 - 518 sider |
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Side 12
... sides . : XXVII . A right - angled triangle , is that which has a right angle . XXVIII . An obtuse - angled triangle ... sides equal , and all its angles right angles . XXXI . An oblong , is that which has all its angles right angles ...
... sides . : XXVII . A right - angled triangle , is that which has a right angle . XXVIII . An obtuse - angled triangle ... sides equal , and all its angles right angles . XXXI . An oblong , is that which has all its angles right angles ...
Side 16
... sides of the one equal to two sides of the other , each to each ; and have like- wise the angles contained by those sides equal to one another ; they shall likewise have their bases , or third sides , equal ; and the two triangles shall ...
... sides of the one equal to two sides of the other , each to each ; and have like- wise the angles contained by those sides equal to one another ; they shall likewise have their bases , or third sides , equal ; and the two triangles shall ...
Side 17
... 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 be equal , and their other angles ...
... 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 be equal , and their other angles ...
Side 18
... sides FA , AC are equal to the two GA , AB , each to each ; and they contain the angle FAG common b D B A E to the two triangles AFC , AGB ; therefore the base FC is equal to the base GB , and the triangle AFC to the triangle AGB ; and ...
... sides FA , AC are equal to the two GA , AB , each to each ; and they contain the angle FAG common b D B A E to the two triangles AFC , AGB ; therefore the base FC is equal to the base GB , and the triangle AFC to the triangle AGB ; and ...
Side 19
... side of it , there cannot be two triangles that have their sides which are terminated in one extremity of the base See Note . equal to one another , and likewise those which are terminated in the other extremity . If it be possible ...
... side of it , there cannot be two triangles that have their sides which are terminated in one extremity of the base See Note . equal to one another , and likewise those which are terminated in the other extremity . If it be possible ...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... Robert Simson Uten tilgangsbegrensning - 1806 |
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altitude angle ABC angle BAC base BC BC is equal BC is given bisected Book XI centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC meet multiple parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition pyramid Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar solid angle solid parallelopiped square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore