 | Robert Potts - 1863 - 482 pages
...will the intersection of its diagonals move ? 10. In any right-angled triangle, the square which is described on the side subtending the right angle is...described on the sides which contain the right angle. If a man's head were a sphere of 10 inches diameter, and his brain were enclosed in a concentric sphere... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...having an angle equal to a given rectilineal angle. 7. In any right-angled triangle, the square which is described on the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. 8. If a straight line be bisected, and produced to any... | |
 | Euclides - 1864 - 448 pages
...angles. PROPOSITION XLVII. THEOREM. In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. Let ABC be a right-angled triangle, having the right... | |
 | Robert Potts - 1865 - 528 pages
...described upon the m'dt subtending the right angle, is equal to the squares described upon the nidus which contain- the right angle. Let ABC be a right-angled triangle, having the right anglo BAC. Then the square described upon the side BC, shall be equal to the squares described upon... | |
 | Euclides - 1865 - 402 pages
...similar rectilineal figures be similarly described on the sides of a right-angled triangle, the figure described on the side subtending the right angle is equal to the sum of the figures on the other side . . . ... . . . VI. 31. D. Relating to the Comparison of Parallelograms... | |
 | J. F. H. de Rheims - Geometrical drawing - 1865 - 336 pages
...one another. Prop. 47. — Theorem. In any right angled trinngle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. EUCLID, BOOK III. Prop. 3. — Theorem. If a straight... | |
 | 1903 - 898 pages
...is 15 cm., and whose base angles are 70° and 55°. Or, 3 A. In any right-angled triangle the square described on the side subtending the right angle is equal to the sum of the squares described on the sides containing the right angle. 4. Draw three circles with different... | |
 | Euclid - Mathematics, Greek - 1908 - 550 pages
...equal; therefore AB is equal to EC, and BFto £G. PROPOSITION 47. In right-angled triangles the square on the side subtending the right angle is equal to the squares on the sides containing the right angle. Let ABC be a right-angled triangle having the angle sJSAC... | |
 | Joseph Gregory Horner - Engineering - 1909 - 560 pages
...parallelogram is double of the triangle. (Prop. 41.) In any right-angled triangle, the square which is described on the side subtending the right angle is...described on the sides which contain the right angle. (Prop. 47.) The two rules for finding the area of a triangle are given under Areas. To find the third... | |
 | Albert Gallatin Mackey - 1912 - 508 pages
...Master's Degree, is thus enunciated: "In any rightanclad triangle, the square which is de8c:ibcd upon the side subtending the right angle is equal to the squares described upon the sides which contain the right angle." Thus, in a triangle whose perpendicular is 3 feet, the... | |
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In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. 
