 | Theology - 1857 - 924 pages
...; just as, in the very nature of things, two and two make four ; the whole is greater than a part ; the square of the hypotenuse of a right-angled triangle, is equal to the sum of the squares of the other two sides. We find, in the works of Dr. Gill, no allusion to the... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...with double the square on half the base. 8. Three times the sum of the squares on the three sides of a triangle is equal to four times the sum of the squares of the Hues drawn from the angles to bisect the opposite sides. 9. The difference between the squares on two... | |
 | Charles Anthon - Greek literature - 1853 - 610 pages
...have discovered the propositions that the triangle inscribed in a semicircle is right-angled, and that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares on the sides.' Discoveries in astronomy are also attributed to him ; and there... | |
 | Charles Anthon - Greek literature - 1853 - 600 pages
...have discovered the propositions that the triangle inscribed in a semicircle is right-angled, and that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares on the sides.2 Discoveries in astronomy are also attributed to him ; and there... | |
 | John Hind - Trigonometry - 1855 - 540 pages
...of the squares be joined : the sum of the squares of the sides of the hexagonal figure thus formed, is equal to four times the sum of the squares of the sides of the triangle. 23. If all the angular points of a regular polygon be joined, and r be the radius... | |
 | Joseph Ray - Arithmetic - 1857 - 348 pages
...being tho base, BC the perpendicular, and A 0 the hypotenuse. ART. 290. It is a known principle, that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. REVIEW. — 287. What is the rule for sqnaro root? NOTES.... | |
 | 1857 - 486 pages
...triangle, and the angular points be joined, the sum of the squares of the hexagonal figure thus formed, is equal to four times the sum of the squares of the sides of the triangle. 5. If from a point P, in the diameter AB of a circle, PQ, PR be drawn to the... | |
 | Thomas Dick - 1857 - 892 pages
...as extremely trivial, and almost unworthy of regard. The properties of a triangle, such as, " that the square of the hypotenuse of a right-angled triangle, is equal to the squares of the other two sides"—•" that the three angles of a triangle are equal to two right... | |
 | Euclides - 1858 - 248 pages
...from those by a series of which, did he know the previous propositions, he might be convinced that the square of the hypotenuse of a right-angled triangle, is equal to the sum of the squares of the sides." — On the Studies and Difficulties of Mathematics, p. 76. SECTION... | |
 | David Price - Arithmetic - 1858 - 264 pages
...Multiply the length of the base by the perpendicular, and divide the product by 2 for the area. NOTK.— The square of the hypotenuse of a right-angled triangle, is equal to the sum of the squares of the other two sides. EXAMPLES. 22. Find the area of a triangle whose base... | |
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The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. 
