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Books Books 1 - 10 of 126 on In a right-angled triangle, the square on the hypotenuse is equal to the sum of the....
" In a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle 59 THEOREM 30. "
The Elements of Surveying and Geodesy - Page 12
by William Charles Popplewell - 1915 - 244 pages
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The First and Second Books of Euclid, Explained to Beginners

Euclid, C. P. Mason - Geometry - 1872
...the opposite angle, and the point of the obtuse angle. For the proof, we must know, — 1. That in a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. 2. That if a line be divided into any two parts, the square...
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Unterricht, Erziehung und Fortbildung. 2 Bde. [in 3pt ..., Volume 2, Part 2

H. Loehnis - 1876
...line. 3. ProTO that the diameter of a parallelogram divides it into two equal partg. 4. Show that in a right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides. What is the length of the hypotenuse when the other sides are...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad - 1880
...AB. Show that the difference of the angles DCA, DCB is equal to the difference of the angles A, B. 4. In any right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the sides. ABCD is a quadrilateral having the diagonals AC, BD at right angles. Show...
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The Competitor, Volumes 3-4

1883
...Prove that parallelograms on equal bases and between the same parallels are equal in area. 4. Show that in any right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. 5. Prove that if a right line be divided into any two parts,...
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Syllabus of plane geometry, books 1-3, corresponding to Euclid ..., Books 1-6

Mathematical association - 1883
...than the sum of the squares on those lines by twice the rectangle contained by them. THEOR. 9. In a right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the sides. [Alternative proofs:— (1) Euclid's. (2) By dividing two squares placed...
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The Elements of Plane Geometry ...

Association for the improvement of geometrical teaching - Geometry, Plane - 1884
...Ex. 1 8. Prove that of all rectangles of given perimeter the square is the greatest. THEOR. 9. In a right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the sides. Let ABC be a triangle having the angle BAC a right angle : I 2 N& DLE...
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The elements of plane geometry, Volume 1

Mathematical association - Geometry, Plane - 1884
...Ex. 1 8. Prove that of all rectangles of given perimeter the square is the greatest. THEOR. 9. In a right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the sides. Let ABC be a triangle having the angle BAC a right angle : I 2 0 LE then...
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Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term ...

Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term,1885.Volume XIV - 1885
...intensity of the Earth's magnetic field. MATHEMATICAL TRIPOS. PART I. THURSDAY, May 21, 1885. 9 to 12. 1. IN any right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle. From the right angle of a right-angled triangle...
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Diophantos of Alexandria: A Study in the History of Greek Algebra

Thomas Little Heath - Fermat's theorem - 1885 - 248 pages
...semi-determinate analysis was laid by Pythagoras. Not only did he propound the geometrical theorem that in a right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides, but he applied it to numbers and gave a rule — of somewhat...
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A Text-book of Geometrical Deductions: Book I [-II] Corresponding to ..., Book 1

James Andrew Blaikie, William Thomson - Geometry - 1891
...have an angle equal to a given angle. 46. To construct a square on a given straight line. 47. In a right.angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides. 48. If the square on one side of a triangle be equal to the...
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