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
... four straight lines . XXIII . Multilateral figures , or polygons , by more than four straight lines . XXIV . Of three sided figures , an equilateral triangle is that which has three equal sides . XXV . An isosceles triangle , is that ...
... four straight lines . XXIII . Multilateral figures , or polygons , by more than four straight lines . XXIV . Of three sided figures , an equilateral triangle is that which has three equal sides . XXV . An isosceles triangle , is that ...
Side 11
... four - sided figures , a square is that which has all its 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 ...
... four - sided figures , a square is that which has all its 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 ...
Side 11
... four sided figures besides these , are called trapeziums . XXXV . Parallel straight lines , are such as are in the same plane , and which being produced ever so far both ways , do not meet . POSTULATES . I. Let it be granted that a ...
... four sided figures besides these , are called trapeziums . XXXV . Parallel straight lines , are such as are in the same plane , and which being produced ever so far both ways , do not meet . POSTULATES . I. Let it be granted that a ...
Side 23
... four right angles . Cor . 2. And consequently that all the angles made by any number of lines meeting in one point , are together equal to four right angles . PROP . XVI . THEOR . If one side of BOOK I. 23 THE ELEMENTS OF EUCLID .
... four right angles . Cor . 2. And consequently that all the angles made by any number of lines meeting in one point , are together equal to four right angles . PROP . XVI . THEOR . If one side of BOOK I. 23 THE ELEMENTS OF EUCLID .
Side 35
... four right angles , are equal to twice as many right E angles as the figure has sides . For any rectilineal figure ABCDE can be divided into ás many triangles as the figure has sides , by drawing straight lines from a point F within the ...
... four right angles , are equal to twice as many right E angles as the figure has sides . For any rectilineal figure ABCDE can be divided into ás many triangles as the figure has sides , by drawing straight lines from a point F within the ...
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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