 | Richard Wormell - Geometry, Modern - 1868 - 286 pages
...to the difference of the squares of AD, DC. 10. Three times the sum of the squares on the sides of a triangle is equal to four times the sum of the squares of the lines joining the middle point of each side with the opposite angles. 1 1 . The squares of the diagonals... | |
 | Joseph Ray - Arithmetic - 1857 - 358 pages
...being the base, BC the perpendicular, and AC 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 tho rule for square root? NOTES.... | |
 | Robert Potts - 1868 - 434 pages
...may be equal to the difference of the squares on the other two sides. IV. 30. Shew that the square on the hypotenuse of a right-angled triangle, is equal to four times the area of the triangle together with the square on the difference of the sides. 31. In the triangle ABC,... | |
 | A. H. L. S. Béchaux - Geometry, Analytic - 1869 - 208 pages
...AA-2— AA"2 + BB'2— BB"2 + CC'2—CC"2. [2]. The sum of the squares of the sides of a triangle ABC is equal to four times the sum of the squares of the tangents AA', BB', CC' drawn from the vertices to the nine points circle. Let D, E, F be the bisections... | |
 | Richard Wormell - Geometry, Plane - 1870 - 304 pages
...the difference of the squares of AD, D C. 10. Three times the sum of the squares on the sides of a triangle is equal to four times the sum of the squares of the lines joining the middle point of each side with the opposite angles. 1 1 . The squares of the diagonals... | |
 | Emerson Elbridge White - Arithmetic - 1870 - 350 pages
...The other two sides are called the Base and the Perpendicular. (Art. 155.) 419. PRINCIPLES. — 1. The square of the hypotenuse of a, right-angled triangle is equal to the sum of the squares of the other two sides. This principle, which may be proven by geometry, is... | |
 | Horatio Nelson Robinson, Daniel W. Fish - Arithmetic - 1858 - 378 pages
...may be solved by the use of the two following principles, which are demonstrated in geometry. 1st. The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. 2d. The areas of two circles are to each other as the... | |
 | Shelton Palmer Sanford - Arithmetic - 1872 - 404 pages
...the perpendicular, and BC the hypotenuse. ART. 336. It is an established princijJe af Geometry that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. This is illustrated by the diagram B on the right. By... | |
 | James Gracey Murphy - Brain - 1873 - 360 pages
...step to method, which is in fact the synthesis of that which has been duly analysed. The theorem that the square of the hypotenuse of a right-angled triangle is equal to the sum of th' e squares of the other two sides may be regarded as the crowning achievement of the... | |
 | James McCosh - Intuition - 1874 - 484 pages
...Cfesar lived, or that Jesus Christ died and rose again, or those by which we come to be assured that the square of the hypotenuse of a right-angled triangle is equal to the square of the other two sides. But in all such regressions we must at last come back to something... | |
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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. 
