The Elements of EuclidJohnson and Warner, 1811 - 518 sider |
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Resultat 1-5 av 53
Side 121
... excess of the first above second , is to the second , as the excess of the third above the fourth , is to the fourth . 17th . prop . book 5 . XVII . Convertendo , by conversion ; when there are four proportion . als , and it is inferred ...
... excess of the first above second , is to the second , as the excess of the third above the fourth , is to the fourth . 17th . prop . book 5 . XVII . Convertendo , by conversion ; when there are four proportion . als , and it is inferred ...
Side 122
Euclid Robert Simson. Book V. second , as the third to its excess above the fourth . 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 ...
Euclid Robert Simson. Book V. second , as the third to its excess above the fourth . 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 ...
Side 144
... excess above the second , as the third to its excess above the fourth . Let AB be to BE , as CD to DF ; then BA is to A AE , as DC to CF. Because AB is to BE , as CD to DF , by divi- siona , AE is to EB , as CF to FD , and by inver- E ...
... excess above the second , as the third to its excess above the fourth . Let AB be to BE , as CD to DF ; then BA is to A AE , as DC to CF. Because AB is to BE , as CD to DF , by divi- siona , AE is to EB , as CF to FD , and by inver- E ...
Side 149
... excess of the first and fifth shall be to the second , as a 22. 5 . b 18 : 5 Book V. the excess of the third and sixth to OF EUCLID . 149.
... excess of the first and fifth shall be to the second , as a 22. 5 . b 18 : 5 Book V. the excess of the third and sixth to OF EUCLID . 149.
Side 150
Euclid Robert Simson. Book V. the excess of the third and sixth to the fourth . The demon- stration of this is the same with that of the proposition , if di- vision be used instead of composition . COR . 2. The proposition holds true of ...
Euclid Robert Simson. Book V. the excess of the third and sixth to the fourth . The demon- stration of this is the same with that of the proposition , if di- vision be used instead of composition . COR . 2. The proposition holds true of ...
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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