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Βιβλία Βιβλία 61 - 70 από 176 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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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...

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

Euclid, Robert Simson - 1892 - 518 σελίδες
...equal to one of the angles of the given triangle. 8. Pro.ve that the equilateral triangle described on the hypotenuse of a right.angled triangle is equal to the sum of the equilateral triangles described on the sides containing the right angle. [Let ABC be the triangle...

The Dublin Review, Τόμος 110

1892
...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 knows implicitly...

Euclid's Elements of Geometry, Βιβλία 1-6

Henry Martyn Taylor - 1893 - 504 σελίδες
...the second part the ratio which the whole has to the second part. 406 PROPOSITION 31. A polygon on the hypotenuse of a right-angled triangle is equal to the sum of the polygons similarly described on the other sides. Let ABC be a right-angled triangle having the...

Exercises in Stewart's Plane and Solid Geometry: With Solutions for Teachers

Seth Thayer Stewart - 1893 - 225 σελίδες
...(В. п., Р. 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...

Letters on a Regicide Peace: Letters I. and II.

Edmund Burke - 1893 - 176 σελίδες
...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 with the...

Concrete Geometry for Beginners

Adelia Roberts Hornbrook - 1895 - 201 σελίδες
...Demonstrative 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...

The Principles of Argumentation

George Pierce Baker - 1895 - 414 σελίδες
...that is pure \ 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...

Robinson's New Higher Arithmetic: For High Schools, Academies, and ...

Horatio Nelson Robinson - 1895 - 506 σελίδες
...principles, which 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...

Concrete Geometry for Beginners

Adelia Roberts Hornbrook - 1895 - 201 σελίδες
...Demonstrative 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 sujn of the squares of the other two sides. 57. Measure off 6 inches on one side of a square surface...




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