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Libri Libri 51 - 60 di 173 su Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled....
" Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides. "
History of Rome [by H. Malden]. - Pagina 35
di Henry Malden - 1830
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Robinson's New Higher Arithmetic: For High Schools, Academies, and ...

Horatio Nelson Robinson - 1895 - 506 pagine
...are demonstrated in geometry, afford applications of square root: PRINCIPLES. — I. The square of the hypotenuse of a rightangled triangle is equal to the sum of the squares of the other two sides ; therefore, II. T7'e hypotenuse is equal to the square root of...
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Euclid's Elements of Geometry, Libri 1-6;Libro 11

Henry Martyn Taylor - 1895 - 657 pagine
...of the squares on the parts is equal to a given square. 120 The proof of the theorem "the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other sides," which we have given in the text of the 47th proposition, is attributed...
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The Principles of Argumentation

George Pierce Baker - 1895 - 414 pagine
...\ t , conviction is the proof of some theorem of Geometry, as, .;' for instance, that the square of the hypotenuse of a rightangled triangle is equal to the sum of the squares of the other two sides. All the proof adduced appeals solely to the intellect, and rests...
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Concrete Geometry for Beginners

Adelia Roberts Hornbrook - 1895 - 201 pagine
...geometry will show the truth in all cases of the following principle : PRINCIPLE 54. — The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. 57. Measure off 6 inches on one side of a square surface and 8...
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Examinations Papers

1896
...circles cut one another at right angles. 4. Prove that the area of any rectilineal figure described on the hypotenuse of a right-angled triangle is equal to the sum of the similar figures described on the sides. 5. Through a point 0 in a parallelogram straight lines...
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American Comprehensive Arithmetic

Middlesex Alfred Bailey - 1897 - 320 pagine
...PARTS I. The circumference of a circle is equal to twice the radius times 3.1416. II. The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. NOTE. — For illustration and explanation, the pupil should turn...
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History of Education

Levi Seeley - 1899 - 343 pagine
...great service in the discovery of the so-called Pythagorean theorem in geometry, that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. CHAPTER XI ROME Literature. — Bryce, The Holy Roman Empire; Bury,...
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Mathematical Questions and Solutions, Volume 71

1899
...it, described on the other two sides. Solution by the PROPOSER. Lemma I. — A rhombus described on the hypotenuse of a right-angled triangle is equal to the sum of the rhombi equiangular to it described on the other two sides. Let ABC be a triangle, right-angled...
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Calendar, for the Year ...

1899
...polygons are in a ratio which is the duplicate of the ratio of two corresponding sides. A polygon on the hypotenuse of a right-angled triangle is equal to the sum of the polygons similarly described on the other sides. 5. Shew that the radian is a constant angle, and...
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Science Examination Papers

Great Britain. Dept. of Science and Art - 1899
...join CG, FH; show that the angles GCB and HFE are equal. (35.) 42. Show that a polygon described on the hypotenuse of a rightangled triangle is equal to the sum of the similar polygons, similarly described on the other sides. Given two similar triangles, show how...
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