 | Francis Bowen - 1864 - 480 σελίδες
...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... | |
 | George Augustus Walton - 1864 - 376 σελίδες
...upon the line А С is equal to the two squares upon А В and В С ; and generally, The square upon the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. Hence, EULE I. To find the hypothenuse, the base and perpendicular... | |
 | Eli Todd Tappan - 1864 - 288 σελίδες
...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.... | |
 | Francis Bowen - 1864 - 472 σελίδες
...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... | |
 | George Augustus Walton - 1864 - 364 σελίδες
...square upon the line AC is equal to the two squares upon AB and BC ; and generally, The square upon the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. Hence, RULE I. To find the hypothenuse, the base and perpendicular... | |
 | United States. War Department - 1901 - 894 σελίδες
...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."... | |
 | Alan Sanders - 1901 - 260 σελίδες
...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... | |
 | M. Fennell - 1902 - 292 σελίδες
...1. Preparation. i. Enunciation. In a right-angled triangle the square described on the hypotenuse is equal to the sum of the squares described on the other two sides. i (a) Right angle. (It) Triangle. 2. Definitions to / ; ' D- ,. , , , • , J \ (c) Right-angled triangle,... | |
 | M. Fennell - 1902 - 294 σελίδες
...I. Preparation. i. Enunciation. In a right-angled triangle the square described on the hypotenuse is equal to the sum of the squares described on the other two sides. (a) Right angle. (b) Triangle. .(«) Hypotenuse. • II. Presentation. i. Analysis of Enunciation.... | |
 | John Phin - 1902 - 464 σελίδες
...proposition. It forms the famous fortyseveuth proposition of the first book of Euclid, that the square on the hypothenuse of a right-angled triangle is equal to the sum of the squares erected on the sides. But the doctrine by which he is most generally known is that of the... | |
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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. 
