The Elements of EuclidJohnson and Warner, 1811 - 518 sider |
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Side 25
... common angle ABC , the remaining angle ABE is equal to the remaining angle b S. Ax ABD , the less to the greater , which is impossible ; therefore BE is not in the same straight line with BC . And , in like man- ner , it may be ...
... common angle ABC , the remaining angle ABE is equal to the remaining angle b S. Ax ABD , the less to the greater , which is impossible ; therefore BE is not in the same straight line with BC . And , in like man- ner , it may be ...
Side 38
... common 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 ...
... common 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 ...
Side 39
... common to the two triangles , which is adjacent to their equal angles ; therefore their other sides shall be equal , each to each , and the third angle of the one to the third angle of the other b , viz . the b 26. t . side AB to the ...
... common to the two triangles , which is adjacent to their equal angles ; therefore their other sides shall be equal , each to each , and the third angle of the one to the third angle of the other b , viz . the b 26. t . side AB to the ...
Side 40
... common ; therefore the whole , or the re- 2. or 3. Ax . mainder AE , is equal to the whole , or the remainder DF ; AB also is equal to DC ; and the two EA , AB are therefore b1 Ax . c A D E F AE E D F d 19.1 . € 4. 1 . f 3. Ax . B C B ...
... common ; therefore the whole , or the re- 2. or 3. Ax . mainder AE , is equal to the whole , or the remainder DF ; AB also is equal to DC ; and the two EA , AB are therefore b1 Ax . c A D E F AE E D F d 19.1 . € 4. 1 . f 3. Ax . B C B ...
Side 50
... common to the two triangles DAC , BAC , the two DA , AC are equal to the two BA , AC ; and the base DC is equal to the base BC ; therefore the an- gle DAC is equal to the angle BAC : but DAC is a right angle ; therefore also BAC is a ...
... common to the two triangles DAC , BAC , the two DA , AC are equal to the two BA , AC ; and the base DC is equal to the base BC ; therefore the an- gle DAC is equal to the angle BAC : but DAC is a right angle ; therefore also BAC is a ...
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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