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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. "
The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ... - Σελίδα 43
των Euclid, James Thomson - 1837 - 390 σελίδες
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 σελίδες
...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 lchich contain the right angle. Let ^Z?Cbe a right-angled triangle, having the right angle BA C. Then...

Guide to the Army Competitive Examinations: being a Compendium of practical ...

Alexander Hadden Hutchinson - 1861 - 100 σελίδες
...determine the fraction. Euclid. 1. In any right angled triangle the square which is described upon the side subtending the right angle is equal to the...described upon the sides which contain the right angle. 2. If a straight line be divided into two equal and also into two unequal parts, the rectangle contained...

Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 σελίδες
...but shall contain a greater angle. 2. In any right angled triangle, the square which is described on the side subtending the right angle is equal to the squares described on the sides containing the right angle. VOLUNTARY PORTION. 1. Describe an isosceles triangle having...

The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...angles. PROP. XL VII.— THEOREM. In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the...described upon the sides which contain the right angle. (References— Prop. i. 4, 14, 31, 41, 46; ax. 2, 6, 11; def. 30.) Let ABC be a right-angled triangle,...

Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...47.— THEOREM. In any right-angled triangle, the square which is described upon the side opposite to the right angle, is equal to the squares described upon the sides which contain the right angle. (References— Prop. I. 4, 14, 31, 41, 46; ax. 2, 6, 11; def. 30.) Hypothesis. — Let ABC be a right-angled...

Responsions

University of Oxford - 1863
...line equal to a given straight line. 8. In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the squares described on the sides which contain the right angle. 9. If a straight line be divided into any two parts, the...

Liber Cantabrigiensis: An Account of the Aids Afforded to Poor ..., Τόμος 2

Robert Potts - 1863
...intersection of its diagonals move ? 10. In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the squares described on the sides which contain the right angle. If a man's head were a sphere of 10 inches diameter, and...

The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...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...be a right-angled triangle, having the right angle lSA C. Then the square described upon the side BC, shall be equal to the squares described upon BA,...

The Edinburgh university calendar

Edinburgh univ - 1868
...the major axis. 24^/4 March 1868. 1. 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 containing the right angle. 2. The sum of the squares of the diameters of any parallelogram is equal...

Annual Report

1868
...parallels, are equal to one another 15 3. In any right -angled triangle, the square \rhieh is described upon the side subtending the right angle is equal to the squares described upon the wdes which contain the right angle 20 4. If ii straight line IK- bisected and produced to any point,...




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