The Elements of EuclidJohnson and Warner, 1811 - 518 sider |
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Side 121
... prop . of this 5th book . XIV . Invertendo , by inversion : when there are four proportionals , and it is inferred , that the second is to the first , as the fourth to the third . Prop . B , book 5 . XV . Componendo , by composition ...
... prop . of this 5th book . XIV . Invertendo , by inversion : when there are four proportionals , and it is inferred , that the second is to the first , as the fourth to the third . Prop . B , book 5 . XV . Componendo , by composition ...
Side 122
... Prop . E , book 5 . XVIII . Ex æquali ( sc . distantia ) , or ex æquo , from equality of dis- tance ; when there is any number of magnitudes more than two , and as many others , so that they are proportionals when taken two and two of ...
... Prop . E , book 5 . XVIII . Ex æquali ( sc . distantia ) , or ex æquo , from equality of dis- tance ; when there is any number of magnitudes more than two , and as many others , so that they are proportionals when taken two and two of ...
Side 124
... PROP . II . THEOR . IF the first magnitude be the same multiple of the second that the third is of the fourth , and the fifth the same multiple of the second that the sixth is of the fourth ; then shall the first together with the fifth ...
... PROP . II . THEOR . IF the first magnitude be the same multiple of the second that the third is of the fourth , and the fifth the same multiple of the second that the sixth is of the fourth ; then shall the first together with the fifth ...
Side 134
... Prop . 8th , there is some multiple F of C , and some equimultiples E and D , of B and A such , that F is greater than E , and not greater than D ; but because C is to B , as C is to A , and that F , the multiple of the first , is ...
... Prop . 8th , there is some multiple F of C , and some equimultiples E and D , of B and A such , that F is greater than E , and not greater than D ; but because C is to B , as C is to A , and that F , the multiple of the first , is ...
Side 163
Euclid Robert Simson. r PROP . VI . THEOR . IF two triangles have one angle of the one equal to one angle of the other , and the sides about the equal angles proportionals , the triangles shall be ... PROP . VII . THEOR . DOW OF EUCLID . 163.
Euclid Robert Simson. r PROP . VI . THEOR . IF two triangles have one angle of the one equal to one angle of the other , and the sides about the equal angles proportionals , the triangles shall be ... PROP . VII . THEOR . DOW OF EUCLID . 163.
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... Robert Simson Uten tilgangsbegrensning - 1806 |
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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