The Elements of EuclidJohnson and Warner, 1811 - 518 sider |
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Resultat 6-10 av 52
Side 125
... fourth ; and if of the first and third there be taken equimultiples , these shall be equimul- tiples , the one of the second , and the other of the fourth . Let A the first , be the same multiple of B the second , that C the third is of ...
... fourth ; and if of the first and third there be taken equimultiples , these shall be equimul- tiples , the one of the second , and the other of the fourth . Let A the first , be the same multiple of B the second , that C the third is of ...
Side 126
... fourth , then any equimultiples whatever of the first and third shall have the same ratio to any equimultiples of the second and fourth , viz . the equimultiple . of the first shall have the same ratio to that of the second , which the ...
... fourth , then any equimultiples whatever of the first and third shall have the same ratio to any equimultiples of the second and fourth , viz . the equimultiple . of the first shall have the same ratio to that of the second , which the ...
Side 127
... fourth . Let A the first , have to B the second , the same ratio which the third C has to the fourth D , and of A and C let E and F be any equimultiples whatever ' ; then E is to B , as F to D. Take of E , F any equimultiples whatever K ...
... fourth . Let A the first , have to B the second , the same ratio which the third C has to the fourth D , and of A and C let E and F be any equimultiples whatever ' ; then E is to B , as F to D. Take of E , F any equimultiples whatever K ...
Side 129
... fourth ; then , if the first be greater then the second , the third is also greater than the fourth ; and if . equal , équal ; if less , less . Take any equimultiples of each of them , as the doubles of each ; then , by def . 5th of ...
... fourth ; then , if the first be greater then the second , the third is also greater than the fourth ; and if . equal , équal ; if less , less . Take any equimultiples of each of them , as the doubles of each ; then , by def . 5th of ...
Side 130
... fourth ; the first is to the second , as the third is to the fourth . Let the first A be the same multiple of B the second , that C the third is of the fourth D : A is to B as C is to D. Take of A and C any equimultiples what ever E and ...
... fourth ; the first is to the second , as the third is to the fourth . Let the first A be the same multiple of B the second , that C the third is of the fourth D : A is to B as C is to D. Take of A and C any equimultiples what ever E and ...
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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