The Elements of EuclidJohnson and Warner, 1811 - 518 Seiten |
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Seite 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 ...
Seite 12
... 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 ...
Seite 13
Euclid Robert Simson. XXXIV . All other 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 . Book I ...
Euclid Robert Simson. XXXIV . All other 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 . Book I ...
Seite 25
... 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 . D b 3. Ax . Book 1 . 10. 1 . b 15. 1 . OF EUCLID . 25.
... 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 . D b 3. Ax . Book 1 . 10. 1 . b 15. 1 . OF EUCLID . 25.
Seite 37
... four right angles , are equal to twice as many right angles as the figure has sides . For any rectilineal figure ABCDE can be divided into as many trian- gles 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 angles as the figure has sides . For any rectilineal figure ABCDE can be divided into as many trian- gles as the figure has sides , by drawing straight lines from a point F within the ...
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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