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Βιβλία Βιβλία 81 - 90 από 170 για 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. "
Rainey's Improved Abacus: An Explanatory Treatise on the Theory and Practice ... - Σελίδα 237
των Thomas Rainey - 1849 - 312 σελίδες
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New Practical Arithmetic

Eugene L. Dubbs - 1901 - 440 σελίδες
...angle, as AB. The truth of the following principles has been established by geometry : PRINCIPLE I. The square of the hypotenuse of a rightangled triangle is equal to the sum of the squares of the base and the perpendicular. PRINCIPLE II. The square of either side of a rightangled...

Graded Work in Arithmetic, Βιβλίο 9

Samuel Wesley Baird - 1901
...ATI the Base, and the side EG the Perpendicular. 678. It is an established principle of Geometry that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the base and the perpendicular. 679. The diagram at the right illustrates the preceding...

The First Men in the Moon

Herbert George Wells - 1901 - 342 σελίδες
...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 demonstrate...

A Short Account of the History of Mathematics

Walter William Rouse Ball - 1901 - 527 σελίδες
...cases (namely when the ratio of the sides is 3 : 4 : 5 or 1:1: N/2) the area of the square described on the hypotenuse of a right.angled triangle is equal to the sum of the areas of the squares described on the sides. It is barely possible that a few geometrical theorems...

A Text-book of Physics

William Watson - 1902 - 951 σελίδες
...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 the diameter...

Euclid, His Life and System

Thomas Smith (D.D.) - 1902 - 227 σελίδες
...angles of every triangle are, in their sum, equal to two right angles. (4) That the square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on its two sides. These truths, which he demonstrated in his I. 5, 15, 32, 47,...

Stair building ; Ornamental ironwork ; Roofing ; Sheet-metal work ; Building ...

International Correspondence Schools - 1903
...building have been fixed. The accuracy of the angles laid out in this manner may be checked by the rule (The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides). The survey of the property gives the lines and levels and locates...

Rameau and Musical Thought in the Enlightenment

Thomas Christensen - 2004 - 327 σελίδες
...listening to the corps sonore that the Egyptian priests first discovered the Pythagorean theorem, to wit, the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of its two sides.10 How could this be? Rameau thought that in perceiving the arithmetic...
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Mathematics for the Million

Lancelot Thomas Hogben - 1968 - 648 σελίδες
...Fig. 25 makes with the landmark a horizontal angle of 45°. Demonstration 4 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. 3f Fig. 53. The Theorem of Pythagoras This is the...
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ST(P) Mathematics 5A Second Edition, Τόμος 5

...whose entries form a magic square. I 7. Pythagoras' theorem states that the area of the square drawn on the hypotenuse of a right-angled triangle is equal to the sum of the areas of the squares drawn on the other two sides of the triangle. Investigate other similar shapes...
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