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" If the square described on one of the sides of a triangle be equal to the squares described on the other two sides of it, the angle contained by these two sides is a right angle. "
Geometry Without Axioms; Or the First Book of Euclid's Elements. With ... - Σελίδα 120
των Thomas Perronet Thompson - 1833 - 150 σελίδες
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The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - 1890 - 393 σελίδες
...Proposition 7. Theorem. 374. The square described OH the hypotenuse of aright triangle is equivalent to the sum of the squares described on the other two sides. Hyp. Let ABC be a rt. A, rt. augled at A, and BE, AK, AF squares on BC, AC, AB. To prove sq. on BC=sq....

Rider Papers on Euclid: Books i and Ii, Graduated and Arranged in Order of ...

Rupert Deakin - 1891 - 79 σελίδες
...subtending the right angle is equal to the squares described on the sides containing the right angle. 48. If the square described on one of the sides of a triangle be equal to the squares described on the other two sides, the angle contained by these two sides is a right angle....

Chamber's Encyclopaedia: A Dictionary of Universal Knowledge, Τόμος 6

1891
...to the right angle. The well-known property of the hypothennse, that the square described on it is equal to the sum of the squares described on the other two sides, is proved in the 47th proposition of the first book of Euclid's Elements. Hyracotherium, a genus of...

The Colliery Engineer Pocket-book of Principles Rules, Formulæ, and Tables ...

Thomas J. Foster - 1891 - 415 σελίδες
...divided by the number of sides. 18. The square described on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides. Thus, in a right-angled triangle whose base is -20 ft. and its altitude 10, the square of the hypothenuse...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1892 - 518 σελίδες
...squares stand ulion equal straight lines. v PROPOSITION 48. THEOREM. If the square described on one side of a triangle be equal to the sum of the squares described on the other two sides, tlien the angle contained by these two sides shall be a right angle. B Let ABC be ;i triangle; and...

Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1892
...identical equality of triangles ? Briefly enunciate them. 20 3. If the square described on one side of a triangle be equal to the sum of the squares described on the other two sides, then the angle contained by these two sides shall be a right angle. 15 4. Quote Playfair's Axiom ;...

An Apocalypse of Life

Walter Thomas Cheney - 1893 - 312 σελίδες
...recall the geometrical theorem that the square described on the hypotenuse of a right-angle triangle is equal to the sum of the squares described on the other two sides. Well, imagine the ' earth ' to be that ' triangle ' and the ' mount ' the ' square,' and " " I see...

Bradbury's Practical Arithmetic: Combining Oral and Written Exercises

William Frothingham Bradbury - 1895 - 377 σελίδες
...the base and perpendicular. 479. The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides. Hence, the square of either of the two sides which form the right angle is equal to the square of the...

Proceedings

National Education Association of the United States - 1895
...draw to show that the square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides, we are aided by seeing visible proof of the statement, and the drawing does not deteriorate. I doubt...

Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1897
...triangle, and have one of its angles equal to a given angle. 19 C. If the square described on one side of a triangle be equal to the sum of the squares described on the other two __ sides, then the angle contained by these two sides shall be a C3 right angle. For Admission as Pupil-Teacher...




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