The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored. Also the Book of Euclid's Data, in Like Manner CorrE. Wingrove, London, and J. Balfour, Edinburgh, 1793 - 520 sider |
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Side 28
... triangle are together greater than ... BAC . Produce BD to E ; and because two fides of a triangle are greater than the third fide , the two fides BA , AE of the tri- angle angle ABE are greater than BE . therefore the fides 28 THE ELEMENTS.
... triangle are together greater than ... BAC . Produce BD to E ; and because two fides of a triangle are greater than the third fide , the two fides BA , AE of the tri- angle angle ABE are greater than BE . therefore the fides 28 THE ELEMENTS.
Side 29
... angle of a triangle is greater than the interior and oppofite angle , the exterior angle BDC of the triangle CDE is greater than CED ; for the fame reason , the exterior angle CEB of the triangle ABE is greater than BAC ; and it has ...
... angle of a triangle is greater than the interior and oppofite angle , the exterior angle BDC of the triangle CDE is greater than CED ; for the fame reason , the exterior angle CEB of the triangle ABE is greater than BAC ; and it has ...
Side 31
... angle BAC greater than the angle EDF ; the bafe BC is alfo greater than the base EF . Of the two fides DE , DF , let DE be the fide which is not greater than the other , and at the point D , in the straight line DE , make a the angle ...
... angle BAC greater than the angle EDF ; the bafe BC is alfo greater than the base EF . Of the two fides DE , DF , let DE be the fide which is not greater than the other , and at the point D , in the straight line DE , make a the angle ...
Side 32
... angle BAC is not equal to the angle EDF , because then the base BC would a 4. 1. be equal a to EF ; but b 24. I. it is not ; therefore the angle BAC is not equal to the angle EDF ; neither is it lefs ; because then the bafe BC would be ...
... angle BAC is not equal to the angle EDF , because then the base BC would a 4. 1. be equal a to EF ; but b 24. I. it is not ; therefore the angle BAC is not equal to the angle EDF ; neither is it lefs ; because then the bafe BC would be ...
Side 33
... angle GBC is equal to the angle DEF ; therefore the bafe GC is equal a to the bafe DF , and the triangle GBC to the ... BAC to the third angle EDF . Next , let the fides which are oppofite to A equal angles in each triangle be equal to ...
... angle GBC is equal to the angle DEF ; therefore the bafe GC is equal a to the bafe DF , and the triangle GBC to the ... BAC to the third angle EDF . Next , let the fides which are oppofite to A equal angles in each triangle be equal to ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1781 |
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