 | Dugald Stewart - 1859 - 508 pàgines
...both eyes turn to the right or left, or all the ringers of the hand open or shut, by one impulse.] which, is obvious almost to sense ; such as, that...demonstration. These propositions, however, do by 110 means belong to. the class of axioms ; for their evidence does not strike every person equally,... | |
 | Robert Potts - 1860 - 380 pàgines
...of the lines AG, GB is a minimum. For take any other point //in CD, and join EH, HB, AH. Then since any two sides of a triangle are greater than the third side, therefore EH, HB are greater than EB in the triangle EHB. But EG is equal to AG, and EH to AH; therefore... | |
 | John Cumming - 1861 - 540 pàgines
...Christianity, that statement is a mere intellectual conviction, which he believes precisely as he believes that any two sides of a triangle are greater than the third side — he believes a proposition in God's Word just as he believes a proposition in Euclid, without the... | |
 | Euclides - 1862 - 140 pàgines
...more remote; and FC greater than FG. Construction.— Join BE, CE, GE. Demonstration. — 1. Because any two sides of a triangle are greater than the third side, BE, EF, are greater than BF. (I. 20.; 2. But AE is equal to BE; therefore AE, EF, that is, AF is greater... | |
 | John Cumming - 1863 - 266 pàgines
...warm, a heart-felt, and a transforming trust. For instance, you believe, what can be demonstrated, that any two sides of a triangle are greater than the third side ; or that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the... | |
 | Euclides - 1864 - 448 pàgines
...of the lines AG, GB is a minimum. For take any other point H in CD, and join EH, HB, AH. Then since any two sides of a triangle are greater than the third side, therefore EH, HB are greater than EB in the triangle EHB. But EG is equal to AG, and EH to AH; therefore... | |
 | Robert Potts - 1865 - 528 pàgines
...of the lines AG, GB is a minimum. For take any other point H in CD, and join EH, HB, ATl. Then since any two sides of a triangle are greater than the third side, therefore EFI, HB are greater than EB in the triangle EHB. But EG is equal to AG, and EH to AH; therefore... | |
 | Euclid, Isaac Todhunter - 1867 - 426 pàgines
...DH. Tako M, the centre of the circle ABC, [III. 1. and join ME, MF, MC, MH, J* ML, MK. Then, because any two sides of a triangle are greater than the third side, [I. 20. therefore EM, MD are greater than ED. T$\AEM is equal to AM;[I.Def.l5. therefore AM, MD are... | |
 | Robert Potts - 1868 - 434 pàgines
...of the lines AG, GB is a minimum. For take any other point H in CD, and join EH, HB, AH. Then since any two sides of a triangle are greater than the third side, therefore EH, HB are greater than EB in the triangle EHB. But EG is equal to AG, and EH to AH; therefore... | |
 | Herbert Spencer - 1872 - 670 pàgines
...the more special mathematical propositions have the same character. One of these is the proposition that any two sides of a triangle are greater than the third side. We have the same trait in those most abstract cognitions which Logic formulates. If there exist more... | |
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One of these is the proposition that any two sides of a triangle are greater than the third side. 
