 | Francis Bowen - Logic - 1864 - 480 pages
...progress could be made in pure mathematics or any other abstract science. The naked fact, that the square upon the hypothenuse of a right-angled triangle is equal to the sum of the squares on the two other sides, was observed and known long before Pythagoras first succeeded in... | |
 | Francis Bowen - 1864 - 480 pages
...progress could be made in pure mathematics or any other abstract science. The naked fact, that the square upon the hypothenuse of a right-angled triangle is equal to the sum of the squares on the two other sides, was observed and known long before Pythagoras first succeeded in... | |
 | Photography - 1880 - 1038 pages
...simple. Euclid, who I am sure must have studied photography deeply, proved that the square described on the hypothenuse of a right-angled triangle is equal to the sum of those described on the other two sides, and on this simple but valuable fact is based the whole of... | |
 | James Stewart Eaton - Arithmetic - 1864 - 322 pages
...other two sides are the base and perpendicular. B Base. SQUARE ROOT. The square described Fig. 2. on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides. Also the square of either of the two sides which form... | |
 | Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...Theorem. — The square described on the side opposite an obtuse angle of a triangle, is equivalent to the sum of the squares described on the other two sides, increased by twice the rectangle of one of those sides and the projection of the other on that side.... | |
 | William Harris Johnston - 1865 - 478 pages
...right-angled triangle has this important property that " the square described on the hypotenuse is equal to the sum of the squares described on the other two sides," that is, the square on the side opposite to the right angle equals in area the sum of the squares on... | |
 | 1901 - 530 pages
...the first book, discovered by Pythagoras, which proves that the square described on the hypotenuse is equal to the sum of the squares described on the other two sides. Hypoth'ec, in Scots law, a claim or right which a creditor has over the effects of a debtor while they... | |
 | United States. War Department - 1901 - 894 pages
...but one. Prove that the square described on the hypothenuse of a right-angled triangle Is equivalent to the sum of the squares described on the other two sides. Given the side of an equilateral triangle equal to 10 feet; find its area. Define " limit of a variable."... | |
 | 1901 - 924 pages
...rvlit angle. The well-known property of the fcypothetmne, that the square described on it is •qua! to the sum of the squares described on the other two sides, is proved in the 47th proposition of the in -i book of Euclid's Elements. Hyracotherilim, a genus of... | |
 | Alan Sanders - Geometry, Modern - 1901 - 260 pages
...XI. THEOREM 199 643. The square described on the hypotenuse of a rightangled triangle is equivalent to the sum of the squares described on the other two sides. Let ABC be a right-angled triangle. To Prove BC? = U? + Jc" Proof. Describe squares on the three sides... | |
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The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides. 
