 | Sir George Newnes, Herbert Greenhough Smith - 1901 - 792 σελίδες
...and that if the equal sides be produced the angles on the other side of the base are equal also ; or that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the two other sides. By demonstrating our knowledge of these things we should... | |
 | Seth Thayer Stewart - 1891 - 428 σελίδες
...bisected by the lines joining the diameters of the quadrilateral. 4. Prove that five times the square of the hypotenuse of a right-angled triangle is equal to four times the sum of the squares of the medians from its extremities. PROPOSITION XXIII. 416. Theorem: Of three similar... | |
 | 1892 - 520 σελίδες
...very superficial selfintrospection will- make this clear. When, for example, the student has learnt that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides, he knows implicitly that he knows this truth, and he... | |
 | Edmund Burke - 1893 - 224 σελίδες
...attributed to him are the propositions that the triangle inscribed in a semicircle is right-angled, and that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the sides. ll. 25-26, Goitre . . . countenance, all being equally afflicted... | |
 | Seth Thayer Stewart - 1893 - 262 σελίδες
...п.), as GE = FH, and being | make = alternate Zs; ie, EO = OF. 4. Prove that five times the square of the hypotenuse of a right-angled triangle is equal to four times the sum of the squares of the medians from its extremities. Let A, B, C, be the three sides of at^, A being... | |
 | Henry Martyn Taylor - 1893 - 486 σελίδες
...the difference 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,... | |
 | Henry Martyn Taylor - 1895 - 708 σελίδες
...the difference 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,... | |
 | Herbert George Wells - 1901 - 382 σελίδες
...and that if the equal sides be produced the angles on the other side of the base are equal also, or that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the two other sides. By demonstrating our knowledge of these things we should... | |
 | 1901 - 768 σελίδες
...sides of a given triangle, and prove that its area is a quarter of that of the given triangle. 3. Prove that the square on the hypotenuse of a rightangled triangle is equal to the sum of the squares on the sides. Prove that if two right-angled triangles have their hypotenuses... | |
 | William Watson - 1902 - 1022 σελίδες
...and Ian 6, as 9 increases from o° to 90°. Ans. sin 30° = .5 ; cos 60° = .5 ; tan 45°=!. 3. Given that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other scales, prove that sin2 0 + cos3 9=i. 4. The angle subtended by... | |
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Guido, with a burnt stick in his hand, demonstrating on the smooth paving-stones of the path, that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides. 
