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" Put another way, if you construct squares on the edges of a right-angled triangle, the area of the square on the hypotenuse is equal to the sum of the areas of the squares on the other two sides. "
Shop Mathematics ...: Shop arithmetic - Σελίδα 87
των Earle Bertram Norris, Kenneth Gardner Smith, Ralph Thurman Craigo - 1912
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Rudimentary arithmetic

James Haddon - 1849 - 144 σελίδες
...yards. 8. The sides of two squares are 9 and 12 respectively; find the side of a third square whose area is equal to the sum of the areas of the other two. Ans. 15 feet. 9. The base of a right-angled triangle is 15 feet, and the perpendicular 8 feet; find...

Mensuration of lines, surfaces, and volumes

David Munn - 1873 - 160 σελίδες
...parts, and make it revolve round its diameter, the surface of the zone generated by the middle arc is equal to the sum of the areas of the other two zones. 46. From what height above the surface of the earth will the ^d part of its surface be seen...

Exercises on Mensuration: With Solutions, Forming Key to Chamber's ...

David Munn - 1874 - 374 σελίδες
...parts, and make it revolve round its diameter, the surface of the zone, generated by the middle arc, is equal to the sum of the areas of the other two zones. 46. From what height above the surface of the earth will the ^d part of its surface be seen...

Mathematical Problems on the First and Second Divisions of the Schedule of ...

Joseph Wolstenholme - 1878 - 538 σελίδες
...x*)- 2m (m + 1) a'y + 4x4 - 4 (m* + m - 1 ) a'x' consists of three loops, the area of one of which is equal to the sum of the areas of the other two. 1 868. For a loop of the curve a? if - la'y + (3a* - «*)' = 0, -- 21-3^3 '~32,r1869. The area of a...

Proceedings of the London Mathematical Society

London Mathematical Society - 1889 - 464 σελίδες
...(p. 3) :— Properties of Semi-equi-facial Tetrahedra (in which the sum of the areas of tivo faces is equal to the sum of the areas of the other two faces.) 1. NOTATION. — In a tetrahedron OABC, the plane angles at 0 are o0)30y0; at.4, a,/3,y,; at...

Manual of Plane Geometry, on the Heuristic Plan: With Numerous Extra ...

George Irving Hopkins - 1891 - 208 σελίδες
...described upon the sides of a right triangle as diameters, the area of that described upon the hypothenuse is equal to the sum of the areas of the other two. 540. If upon the legs of a right triangle semi-circumferences are described outwardly, the sum of the...

Elementary Science for Pupil Teachers

W. T. Clough - 1907 - 204 σελίδες
...triangles on equal bases and between the same parallels are equal. Expt. 89 In a right.angled triangle the area of the square on the hypotenuse is equal to the sum of the areas of the squares on the other two sides. Test this statement by drawing the figures on squared paper,...

Shop Mathematics ...: Shop arithmetic

Earle Bertram Norris, Kenneth Gardner Smith, Ralph Thurman Craigo - 1912 - 208 σελίδες
...is called the hypotenuse. "In any right triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides." Written as a...two are known. Examples : 1. If the trolley pole in Fig. 30 is 24 ft. high, and the guy wire is anchored 7 ft. from the base of the pole, what is the length...

The Dublin University Calendar, Τόμος 1

Trinity College (Dublin, Ireland) - 1915 - 562 σελίδες
...rectilineal figures are described on the sides of a rightangled triangle, the area of that described on the hypotenuse is equal to the sum of the areas of the other two. 7. In equal circles, angles at the centre have the same ratio to one another as the arcs on which they...

Plane Geometry

Mabel Sykes, Clarence Elmer Comstock - 1918 - 576 σελίδες
...circle is constructed on each of the sides of a right triangle as diameter, the area of the circle on the hypotenuse is equal to the sum of the areas of the other two circles. 279 20. A 12-in. 'water pipe branches into three equal pipes whose combined capacity is the...




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