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 sider |
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Side 11
... coincide with one another , that is , which exactly fill the same space , are equal to one another . The whole is greater than its part . X. Two straight lines cannot enclose a space . XI IX . BOOK I. 11 THE ELEMENTS OF EUCLID .
... coincide with one another , that is , which exactly fill the same space , are equal to one another . The whole is greater than its part . X. Two straight lines cannot enclose a space . XI IX . BOOK I. 11 THE ELEMENTS OF EUCLID .
Side 15
... whole triangle ABC shall coincide with the whole triangle DEF , and be equal to it ; and the other angles of the one shall coincide with the remaining angles of the other , and be equal to them , viz . the angle ABC to the angle DEF ...
... whole triangle ABC shall coincide with the whole triangle DEF , and be equal to it ; and the other angles of the one shall coincide with the remaining angles of the other , and be equal to them , viz . the angle ABC to the angle DEF ...
Side 16
... whole AF is equal to the whole AG , of which the parts AB , AC , are equal : the remainder D BF shall be equal ( 3. Ax . ) to the remain- F B G E der CG ; and FC was proved to be equal to GB ; therefore the two sides BF , FC are equal ...
... whole AF is equal to the whole AG , of which the parts AB , AC , are equal : the remainder D BF shall be equal ( 3. Ax . ) to the remain- F B G E der CG ; and FC was proved to be equal to GB ; therefore the two sides BF , FC are equal ...
Side 35
... whole exterior angle ACD is equal to the two interior and opposite angles CAB , ABC ; to these equals add the angle ACB , and the angles ACD , ACB are equal to the three angles CBA , BAC , ACB ; but the angles ACD , ACB are equal ( 13 ...
... whole exterior angle ACD is equal to the two interior and opposite angles CAB , ABC ; to these equals add the angle ACB , and the angles ACD , ACB are equal to the three angles CBA , BAC , ACB ; but the angles ACD , ACB are equal ( 13 ...
Side 37
... whole angle ABD is equal to the whole angle ACD : and the angle BAC has been shown to be equal to the angle BDC ; therefore the opposite sides and an- gles of parallelograms are equal to one another ; also , their dia- meter bisects ...
... whole angle ABD is equal to the whole angle ACD : and the angle BAC has been shown to be equal to the angle BDC ; therefore the opposite sides and an- gles of parallelograms are equal to one another ; also , their dia- meter bisects ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid Ingen forhåndsvisning tilgjengelig - 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