...figure represents a rightangled triangle — the right angle at B. It is proved, in geometry, that the sum of the squares of the two sides containing the right angle, is equal to the square of. the side opposite the right angle. Therefore the difference of the squares...

...extraction of the Square Root; but no figure or explanation is given, excepting the following foot-note. "The square of the hypothenuse of a right-angled triangle, is equal to ;he sum of the squares of the other two sides." It should be represented as under. Miles. EDINBURGH...

...had been seen in practical examples, before the science was established by abstract reasoning. Thus, that the square of the hypothenuse of a rightangled triangle is equal to the sum of the squares of the other two sides, was un experimental discovery, or why did the discoverer sacrifice...

...AC is the hypothenuse. 356. It is an established principle in geometry, that 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. (Leg. IV. 11. Euc. I. 47.) Thus if the base of the triangle...

...AC is the hypothenuse. 356. It is an established principle in geometry, that the square described on the hypothenuse of a right-angled triangle, is equal to the sum of the squares described on the other too sides. (Leg. IV. 11. Euc. I. 47.) Thus if the base of the triangle...

...comparative solidity ? Art. 263. We have shown by a diagram in Art. 189, that the square described upon the hypothenuse of a right-angled triangle, is equal to the sum of the squares described upon the base and perpendicular. Hence, when two sides of any right-angled triangle...

...3.172181. 29. 207f£. 9. 9801. 16. 47089. 23. 10342656. 30. 34967ft-. 371 578. The square described on the hypothenuse of a rightangled triangle, is equal to the sum of the squares described on the other two sides. (Thomson's Legendre, B. IV. 11, Euc. I. 47.) The truth...

...«idu JIC in tin- hypothenuse. B Base. ARTS. 575-580.] SQUARE ROOT. 371 578. The square described on the hypothenuse of a rightangled triangle, is equal to the sum of the squares described on the other two sides. (Thomson's Legendre, B. IV. 11, Euc. I. 47.) The truth...

...small squares in the square H to be equal to the number of small squares in the squares I and K. Hence, the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of both the other sides ; and, therefore, the hypothemise is equal to the square root of...

...that In every right angled triangle the square of the side subtending the right angle, is equal to the sum- of the squares of the two sides containing the right angle; or in other words, the square of the Hypotenuse is equal to the sum of the squares of the Base and...