The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored. Also, the Book of Euclid's Data, in Like Manner CorrectedT. Desilver and R. Desilver, 1825 - 516 σελίδες |
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Σελίδα 11
... sides . equal , and all its angles right angles . XXXI . An oblong , is that which has all its angles right angles , but has not all its sides equal . XXXII . A rhombus , is that which has all its sides equal , but its angles are not ...
... sides . equal , and all its angles right angles . XXXI . An oblong , is that which has all its angles right angles , but has not all its sides equal . XXXII . A rhombus , is that which has all its sides equal , but its angles are not ...
Σελίδα 14
... sides of the one equal to two sides of the other , each to cach ; and have likewise 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 cach ; and have likewise 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 ...
Σελίδα 15
... 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 to ...
... 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 to ...
Σελίδα 16
... sides FA , AC are equal to the two GA , AB , each to each ; and they contain the angle FAG common to the two triangles AFC , AGB ; therefore the base FC is equal ( 4. 1. ) 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 to the two triangles AFC , AGB ; therefore the base FC is equal ( 4. 1. ) to the base GB , and the triangle AFC to the triangle AGB ; and ...
Σελίδα 17
... side of it , there cannot be two triangles that have their sides which are terminated in one extremity of the base equal to one an- other , and likewise those which are terminated in the other extremity . * If it be possible , let there ...
... side of it , there cannot be two triangles that have their sides which are terminated in one extremity of the base equal to one an- other , and likewise those which are terminated in the other extremity . * If it be possible , let there ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
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altitude angle ABC angle BAC base BC BC is equal BC is given bisected centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid ex æquali 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 Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore