The Elements of EuclidJohnson and Warner, 1811 - 518 sider |
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Resultat 1-5 av 46
Side 13
... double of the same , are equal to one another . VII . Things which are halves of the same , are equal to one another . VIII . { Magnitudes which coincide with one another , that is , which exactly fill the same space , are equal to one ...
... double of the same , are equal to one another . VII . Things which are halves of the same , are equal to one another . VIII . { Magnitudes which coincide with one another , that is , which exactly fill the same space , are equal to one ...
Side 40
... double of the trian- gle BDC ; and they are therefore equal to one another . a C But , if the sides AD , EF , opposite . B to the base BC of the parallelograms ABCD , EPCF , be not terminated in the same point ; then , be- cause ABCD is ...
... double of the trian- gle BDC ; and they are therefore equal to one another . a C But , if the sides AD , EF , opposite . B to the base BC of the parallelograms ABCD , EPCF , be not terminated in the same point ; then , be- cause ABCD is ...
Side 43
... PROP . XLI . THEOR . IF a parallelogram and triangle be upon the same base , and between the same parallels ; the parallel p- gram shall be double of the triangle . b 38. 1 , Book I. a 37. 1 . b34 . 1 . OF EUCLID . 43.
... PROP . XLI . THEOR . IF a parallelogram and triangle be upon the same base , and between the same parallels ; the parallel p- gram shall be double of the triangle . b 38. 1 , Book I. a 37. 1 . b34 . 1 . OF EUCLID . 43.
Side 44
... double of the triangle AEC and the paral . lelogram FECG is likewise double of the triangle AEC , be- cause it is upon the same base , and between the same parallels : therefore the parallelogram FECG is equal to the triangle ABC , and ...
... double of the triangle AEC and the paral . lelogram FECG is likewise double of the triangle AEC , be- cause it is upon the same base , and between the same parallels : therefore the parallelogram FECG is equal to the triangle ABC , and ...
Side 49
... double of the triangle FBC , because these also are upon the same base FB , and between the same parallels FB , GC . But the doubles of equals are equal to one another : h 6. AF . therefore the parallelogram BL is equal to the square GB ...
... double of the triangle FBC , because these also are upon the same base FB , and between the same parallels FB , GC . But the doubles of equals are equal to one another : h 6. AF . therefore the parallelogram BL is equal to the square GB ...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... Robert Simson Uten tilgangsbegrensning - 1806 |
Vanlige uttrykk og setninger
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