Books Books 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. Gradations in Euclid : books i. and ii., with an explanatory preface [&c ... - Page 20
by Euclides - 1858 ## Logick; Or, The Right Use of Reason in the Inquiry After Truth: With a ...

Isaac Watts - Conduct of life - 1801 - 342 pages
...mathematician assures •A 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... ## The Operative Mechanic, and British Machinist: Being a Practical Display of ...

John Nicholson - Machinery - 1825 - 822 pages
...: AC: : AC : AB, and BD : BC : : BC : AB. 3. The angle ACB, in a semicircle, is always a right. 4. The square of the hypotenuse of a right-angled triangle, is equal to the squares of both the sides. That is, AC* = AD" + DC1, and BC* = BD* -f- DC', andAB°-= AC4 + BC4.... ## The Philosophy of a Future State

Thomas Dick - Future life - 1829 - 308 pages
...thinker, as extremely trivial, and almost unworthy of regard. The properties of a triangle, such as, " that the square of the hypotenuse of a right-angled triangle, is equal to the squares of the other two sides" — " that the three angles of a triangle are equal to two right... ## History of Rome, Parts 1-5

Henry Malden - Rome - 1830 - 166 pages
...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 Builder's Practical Guide: Containing a Complete Explanation of the ...

John Nicholson (Civil engineer) - Building - 1830 - 238 pages
...AC : : AC : AB, ! and BD : BC : : BC : AB. 3 The angle ACB, in a semicircle, is always a right. 4. The square of the hypotenuse of a right-angled triangle, is equal to the squares of both the sides. That is, AC2 = AD2 + DC4, and BC2 = BD2 + DC8, and AB2= AC2 + BC2. 5.... ## The Philosophy of a Future State

Thomas Dick - Future life - 1836 - 306 pages
...thinker, as extremely trivial, and almost unworthy of regard. The properties of a triangle, such as, " that the square of the hypotenuse of a right-angled triangle is equal to the squares of the other two sides" — "tha-tthe three angles of a triangle are equal to two right... ## Family Magazine: Or Monthly Abstract of General Knowledge..., Volume 4

1837 - 488 pages
...extraction of the 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.... ## The Family Magazine, Volume 4

1837 - 490 pages
...extraction of the 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.... ## The Mechanic's Magazine, Museum, Register, Journal and Gazette, Volume 30

1839 - 504 pages
...solution (Epsom salts) there exists an insoluble material — illustrated by the mathematical theorem, that the square of the hypotenuse of a right-angled triangle, is equal, &c. It was in this part of his subject — for no where else had it any bearing on physical phenomena... 