 | William Emerson - Mathematics - 1763 - 266 pages
...fide oppofite to that acute angle, together ivitb twice the rectangle, of the bafe, and the ¿ißance of the perpendicular from the acute angle ; is equal to the fum of the femares of tbe two other ßdes : AC1 + gCBD = AB1 Ц- ВС1. For AC* = АРг 4- PC1 (Prop, XXI) =... | |
 | Anthony Birks, John Birks - Arithmetic - 1766 - 640 pages
...lemaining fide. RULE. As the (quart of the hyporhcnufc, or longed fide of a right-angled triangle, is equal to the fum of the fquares of the other two fides; confequently the difference of the fquares of the hypothcnufe, and of either of the other fides, is... | |
 | John Mair - Arithmetic - 1772 - 376 pages
...^J1e tower ? 4nf. 30 feet. The fquare of the hypotenufe, or longeft fide of a right-angled triangle, is equal to the fum of the fquares of the other two f1des, by Euclid i, 47. ; and therefore, from the fquare of 50 fubtracl; the fquare of 40, and the... | |
 | Euclid - Euclid's Elements - 1789 - 296 pages
...drawn from the vertex to the middle of the bafe, together with double the fquare of the femi-bafe,, is equal to the fum of the fquares of the other two fides. Let ABC be a triangle, and CE a' line drawn frorj/the vertex to the middle of the bafe AB ; then will... | |
 | James Gregory - Causation - 1792 - 554 pages
...example : ** If there •were a right angled plain triangle, the fquare of the hypothenufe ntuft be equal to the fum of the fquares of the other two fides of it." And the demonftration of every propofition in geometry may be relblved into a chain of perfect... | |
 | DR. GREGORY - 1792 - 528 pages
...of a mathematician who fhould fay, that the fquare of the longeft iide of a triangle is conjiantly equal to the fum of the fquares of the other two fides of it; but that, however conftant this relation might be, it took place only in the contingent cafe... | |
 | A. Melrose (Teacher) - Arithmetic - 1795 - 140 pages
...fides of a right angled triangle to find the other fide. The fquare of the hypothenufe or longell fide, is equal to the fum of the fquares of the other two fides: Therefore, the hypothenufe is equal to the fquare root of the fum of the fquares of the two fides ;... | |
 | Richard Kirwan - Logic - 1807 - 346 pages
...hypothenufe, and of that of fquare in the mathematical fenfe, be told that the fquare of the hypothenufe is equal to the fum of the fquares of the other two fides of a triangle, though he mould know that all mathematicians in all ages have demonftrated its truth,... | |
 | Zachariah Jess - Arithmetic - 1810 - 222 pages
...be in a row each way ? answer 22 Note I. The fquare of the longeft fide of & right angled triangle is equal to the fum of the fquares of the other two fules ; and confequently the difference of the iijuare of the longcft, and* either of the other, is... | |
 | William Thomson (abp. of York.) - 1849 - 424 pages
...eftablifhed by abftract reafoning. Thus, that the fquare of the hypothenufe of a right-angled triangle is equal to the fum of the fquares of the other two fides, was an experimental difcovery, or why did the difcoverer facrifice a hecatomb when he made out its... | |
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As the (quart of the hyporhcnufc, or longed fide of a right-angled triangle, is equal to the fum of the fquares of the other two fides... 