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Βιβλία Βιβλία 51 - 60 από 175 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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A new theory of parallels

Lewis Carroll - 1890
...nor thirty centuries, affect the clearness, or the charm, of Geometrical truths. Such a theorem as ' the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the sides ' is as dazzlingly beautiful now as it was in the day when Pythagoras first...

Chambers's Encyclopaedia: A Dictionary of Universal Knowledge, Τόμος 5

1890
...measurement. An example of a metrical property is the theorem of the three squares : The square on the hypotenuse of a rightangled triangle is equal to the sum of the squares on the two sides. The geometry of Euclid s Elements is metrical. Descriptive geometry is...

Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - 1890 - 400 σελίδες
...sides parallel and equal to BH. (Pappus extension of\. 47.) 64. The area of the equilateral triangle on the hypotenuse of a right-angled triangle is equal to the sum of the areas of the equilateral triangles on its sides. A NOTE— Let APB, BQC, CRA be the As, BAG being...

The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 σελίδες
...Euclide in Elementorum libro VI. allatam' (1668) : — Ex. 740. — The equilateral triangle described on the hypotenuse of a right-angled triangle is equal to the sum of the equilateral triangles described upon the other two sides. Let BLC, CM A, ANB be the equilateral...

Practical Plane & Solid Geometry

I. Hammond Morris - 1890 - 260 σελίδες
...triangle. (Eue. i. 41.) ABСD = twiceABС. (Fig. 6.) E FG H = twice EF J. (Fig. 7.) 7. The square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides. (Eue. i. 47.) The sq. CBDE = thesq. ABFG + the sq. AH JC. (Fig....

Plane and Solid Geometry

Seth Thayer Stewart - 1891 - 406 σελίδες
...sum and difference of two lines is equal to the difference of the squares of the lines. PROP. XXIV. The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the two other sides. PROP. XXV. The square of any side of an oblique-angled triangle...

The Strand Magazine, Τόμος 21

Sir George Newnes - 1901
...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...

Plane and Solid Geometry

Seth Thayer Stewart - 1891 - 406 σελίδες
...quadrilateral is 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...

A Text-book on Rhetoric: Supplementing the Development of the Science with ...

Brainerd Kellogg - 1892 - 345 σελίδες
...adapted to arouse feeling. No one but its discoverer was ever moved to enthusiasm by the truth that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the remaining sides. A coldly logical and unanswerable argument dealing with our relations...

Robinson's New Practical Arithmetic for Common Schools and Academies

Horatio Nelson Robinson - 1892 - 416 σελίδες
...principles, which are demonstrated in geometry, afford applications of square root. PRINCIPLES. — I. The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides; therefore, II. The hypotenuse is equal to the square root of the...




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