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" 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. "
A Text-book of Euclid's Elements for the Use of Schools - Σελίδα 353
των Euclid - 1904 - 456 σελίδες
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Logick; Or, The Right Use of Reason in the Inquiry After Truth: With a ...

Isaac Watts - 1801 - 342 σελίδες
...ploughman that the three angles of a triangle are equal to two right angles, or that the square of the hypotenuse of 'a right-angled triangle is equal to the sum of the squares of the two sides; the ploughman, who has but confused ideas of these things, may firmly...

History of Rome [by H. Malden].

Henry Malden - 1830 - 166 σελίδες
...arithmetic, mathematics, and astronomy. He discovered the proof of the proposition, that the square en the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other sides. He knew that the sun was the centre round which the earth and other...

The Family Magazine, Τόμος 4

1837 - 490 σελίδες
...square root ; but no figure or explanation is given, excepting the following foot-note : " The square of the hypotenuse of a right-angled triangle, is equal to the sum of the squares of the other two sides." It should be represented as under : OLASGOW. 44 miles. EDINBURGH....

Family Magazine: Or Monthly Abstract of General Knowledge..., Τόμος 4

1837 - 488 σελίδες
...square root ; but no figure or explanation is given, excepting the following foot-note : " The square of the hypotenuse of a right-angled triangle, is equal to the sum of the squares of the other two sides." It should be represented as under : GLASGOW. 44 miles. EDINBURGH....

Contributions to Academic Literature

Charles Harrison Lyon - 1842 - 156 σελίδες
...only to find the hypotenuse of the right-angled triangle BO E. Now it is well known that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. If then we take twice the square of 25, which is the length in...

Rainey's Improved Abacus: An Explanatory Treatise on the Theory and Practice ...

Thomas Rainey - 1849 - 334 σελίδες
...the triangle, the line of the base must be produced until it meets the vertical line. The square* of the hypotenuse of a right-angled triangle, is equal to the sum of the squares of the base and side. For example ; the base of a right-angled triangle is 8, the side...

An Introductory Treatise on Mensuration in Theory and Practice ...

John Radford Young - 1850 - 294 σελίδες
...from knowing the third side. It is proved in the 47th Prop, of Enclid's first book, that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the base and perpendicular; and consequently that the square of one of these latter...

The Bibliotheca Sacra and American Biblical Repository, Τόμος 14

1857 - 924 σελίδες
...the very nature of things, two and two make four ; the whole is greater than a part ; the square of the hypotenuse of a right-angled triangle, is equal to the sum of the squares of the other two sides. We find, in the works of Dr. Gill, no allusion to the Utilitarian...

A Manual of Greek Literature: From the Earliest Authentic Periods to the ...

Charles Anthon - 1853 - 600 σελίδες
...the propositions that the triangle inscribed in a semicircle is right-angled, and that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares on the sides.2 Discoveries in astronomy are also attributed to him ; and there can be little...

A Manual of Greek Literature: From the Earliest Authentic Periods to the ...

Charles Anthon - 1853 - 610 σελίδες
...the propositions that the triangle inscribed in a semicircle is right-angled, and that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares on the sides.' Discoveries in astronomy are also attributed to him ; and there can be little...




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