The Elements of EuclidJohnson and Warner, 1811 - 518 páginas |
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Página 10
... vertex of the angle , that is , at the point in which the " straight lines that contain the angle meet one another , is put ' between the other two letters , and one of these two is some- where upon one of those straight lines , and the ...
... vertex of the angle , that is , at the point in which the " straight lines that contain the angle meet one another , is put ' between the other two letters , and one of these two is some- where upon one of those straight lines , and the ...
Página 19
... vertex of each of the tri- angles is without the other triangle , because AC is equal to AD , the angle ACD is equal to the angle ADC : but the angle ACD is greater than the angle BCD ; therefore the angle ADC is greater also than BCD ...
... vertex of each of the tri- angles is without the other triangle , because AC is equal to AD , the angle ACD is equal to the angle ADC : but the angle ACD is greater than the angle BCD ; therefore the angle ADC is greater also than BCD ...
Página 20
... vertices , as D , be within the other triangle ACB ; produce AC , AD to E , F ; there E fore , because AC is equal to ... vertex of one triangle is upon a side of the other , needs no demonstration . Therefore upon the same base , and on ...
... vertices , as D , be within the other triangle ACB ; produce AC , AD to E , F ; there E fore , because AC is equal to ... vertex of one triangle is upon a side of the other , needs no demonstration . Therefore upon the same base , and on ...
Página 38
... vertex of the triangles : that is , together with four right angles , Therefore all the angics of the figure , together with four right angles are equal to twice as many right angles as the figure has sides . a 2 Cor . 15. 1 . b 13. 1 ...
... vertex of the triangles : that is , together with four right angles , Therefore all the angics of the figure , together with four right angles are equal to twice as many right angles as the figure has sides . a 2 Cor . 15. 1 . b 13. 1 ...
Página 155
... whole is to the greater segment , as the greater segment is to the less . IV . The altitude of any figure is the straight line drawn from its vertex perpendicular to the base .. A Job c + Book VI . PROP . I. THEOR . See Note + ...
... whole is to the greater segment , as the greater segment is to the less . IV . The altitude of any figure is the straight line drawn from its vertex perpendicular to the base .. A Job c + Book VI . PROP . I. THEOR . See Note + ...
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Términos y frases comunes
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