 | William Carus Wilson - 1848 - 978 páginas
...heart, the circulation of the blood, and the process of respira10. Prove that in a right-angled triangle the square of the hypothenuse is equal to the sum of the squares of the sides. 11 Prove that if two straight lines intersect one another in a circle, the rectangles... | |
 | 1846 - 614 páginas
...Humeist did not really doubt that Caesar once lived in Rome — that the sun will rise to-morrow — that the square of the hypothenuse is equal to the sum of the squares of the opposite sides. In all these matters man is satisfied to act upon the knowledge arising... | |
 | 1846 - 636 páginas
...Uumeist did not really doubt that Ceesar once Uted in Rome — that the sun will rise to-morrow — thit the square of the hypothenuse is equal to the sum of the squares of the opposite sides. In all these matters man is satisfied to act upon the knowledge arising... | |
 | Anna Cabot Lowell - 1846 - 216 páginas
...Consequently CDML -f LMEA = square ACED = square AFGB -j- BCKH. That is, in every right-angled triangle the square of the hypothenuse is equal to the sum of the squares of the other two sides. This is called the proposition of Pythagoras, because he first discovered... | |
 | Roswell Chamberlain Smith - 1847 - 308 páginas
...Irregular figure divide it into triangles. A In any right-angled triangle, it has been ascertained, that the square of the hypothenuse is equal to the sum of the squares of the other two sides. Thus, in the adjacent figure, 40« = 1600, andSO2 = 900 ; then,-/ 900+1600... | |
 | George Roberts Perkins - 1847 - 326 páginas
...3) = 12 X 6 = 9" — 3" = 81 — 9 = 72. E2 PROPOSITION VIII. THEOREM. In any right-angled triangle, the square of the hypothenuse is equal to the sum of the squares of the other two sides. Let ABC be a right-angled triangle, having the right angle C ; then... | |
 | Charles William Hackley - 1847 - 248 páginas
...divides the parallelogram AF, and ABCD is the half of it. QED THEOREM XXVI. In any right-angled triangle, the square of the hypothenuse is equal to the sum of the squares of the other two sides. Let ABC be a right-angled triangle, having the right angle A ; then... | |
 | Olinthus Gilbert Gregory - 1848 - 572 páginas
...the rule to the respective ease under which any specified example falls; and it will then be found, since a right angle is always one of the data, that...rule usually becomes simplified in its application. When two of the sides are given, the third may be found by means of the property in Geom., Prop. XVI.... | |
 | Jeremiah Day - 1848 - 354 páginas
...given, the third side may be found, without the aid of the trigonometrical tables, by the proposition, that the square of the hypothenuse is equal to the sum of the squares of the two perpendicular sides. (Euc. 47. 1.) If the legs be given, extracting the square root... | |
 | Charles Davies - 1849 - 372 páginas
...may be found by the first two theorems ; or if two of the sides are given, by means of the property, that the square of the hypothenuse is equal to the sum of the squares of the other two sides. EXAMPLES. Ex. 1. In the right angled triangle BCA, there are given... | |
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... the square of the hypothenuse is equal to the sum of the squares of the other two sides. 
