...particular case of this proposition is known as the Pythagorean : the square described upon the hypothenuse is equivalent to the sum of the squares described on the other two sides. As the unit of measure for the determination of the superficial relations of figures, we use a square...

...the hypothenuse, and A Eas6' the other two sides the base and perpendicular. longest side , is equal to the sum of the squares described on the other two sides. Thus, suppose the longest side is 10 ft.., the base 6 ft., and the perpendicular 8 ft. 102:z=:100....

...a given angle, . •I. If the square described upon one of the sides _ 1C 3 of a triangle be equal to the sum of the squares described on the other two sides, the angle contained by those two sides is a right angle, . . 3. If a straight line be divided into...

...(a+b)x(ab)=o?-b*. PROPOSITION XI. THEOEEM. The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the two other sides. Let BCA be a right-angled triangle, right-angled at A : then will the square described...

...particular notice. In every right angled triangle, the square described on the hypothenuse, is equal to the sum of the squares described on the other two sides. Thus, if ABC be a right angled tria,ngle, right angled at C, then will the square D described on AB...

...the base and perpendicular. 293. The square described on the hypothenuse, or longest side, is equal to the sum of the squares described on the other two sides. Thus, suppose the longest side is 10 ft., the base 6 ft., and the perpendicular 8 ft. 10a=100. 6a=36....

...algebraical formula, PROPOSITION XI. THEOREM. 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. Let BCA be a right•angled triangle, right•angled at A : then will the square described on the hypothenuse...

...formula, PROPOSITION XI. THEOREM. The square described on tlie hypothenuse of a right•angled tri angle is equivalent to the sum of the squares described on the other two sides. Let BCA be a right•angled triangle, right•angled at A : then will the square described on the hypothenuse...

...circumferences. FIG. 12. 6. The square described on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides. This will be seen by counting the small squares in the square of the hypothenuse and those in the squares...

...Office-holders should drink confusion to the fact 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 ; or the able Editors should denounce the incoming flow of a spring tide as an altogether unprecedented...