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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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The Cambridge Examiner, Τόμος 2

1882
...and prove three corollaries to it. 13. 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. 14. If a straight line be divided into any two parts, the...

Twelve years' Queen's scholarship questions

Education Ministry of - 1882
...sides of a triangle is parallel to the base. 3. In any right-angled triangle the square described on the side subtending the right angle is equal to the squares described on the sides which contain the right angle. SECTION IV. 1. If a straight line be divided into two equal...

The Practical Teacher, Τόμος 2

1883
...any right-angled triangle, the square which is described upon the tide subtending the right ancle, is equal to the squares described upon the sides which contain the right angle. See Prop. 47, Bk. I. Algebra. t. Simplify (a-zl) (îa-t) + 30 (<z - ¿) - (га -2¿)' + :íf — (la...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 σελίδες
...EUCLID'S ELEMENTS. PROPOSITION 47. THEOREM. 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. Let ABC be a right-angled triangle, haying the right angle...

The Practical Teacher; with which is Incorporated the Practical ..., Τόμος 2

Joseph Hughes - 1883
...THE PRACTICAL TEACHER. Prop. 21). 3. 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. From the middle point of a side of a right-angled triangle,...

An introduction to geometry, consisting of Euclid's Elements, book ..., Τόμος 1

Euclides - 1884
...1O3. PROPOSITION XLVII. — THEOREM. In any right-angled triangle, the square which is described upon the side subtending the right angle is equal to the...angle. Let ABC be a right-angled triangle, having BAC the right angle. Then the square described upon the side BC shall be equal to the squares described...

Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884
...right-angled triangle, the square on the side subtending the right angle is equal to the squares on the sides which contain the right angle. Let ABC be a right-angled triangle having <!he right angle BAC. On BC describe the square BDEC, and on BA, AC, the squares GB, HC ; through A...

Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884
...equal D is the middle point of AB. 3. 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 the squares on the first and third sides of a quadrilateral...

The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884
...angles. PROPOSITION XLVII. THEOREM. 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. In the triangle ABC ; GIVEN that BAC is a right angle ;...

Miscellaneous Notes and Queries with Answers in All Departments of ..., Τόμος 2

1885
...than the third side. PROP. XLVII. In any right-angled triangle, the square whith is described upon the side subtending the right angle, is equal to the...described upon the sides which contain the right angle. Brewer, in his " Dictionary of Phrase and Fable," says : " The Fifth Proposition of Book I, of Euclid,...




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