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 Βιβλία Βιβλία 1 - 10 από 180 για The square described on the hypothenuse of a rightangled triangle is equal to the....
The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
A Theoretical and Practical Arithmetic: Designed for Common Schools and ... - Σελίδα 203
των Daniel Leach - 1853
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Elements of Arithmetic

Etienne Bézout - 1824 - 219 σελίδες
...castle? Ans. 75 yards. • NOTE. This diagram is called a right angled triangle ; and the square of the hypothenuse, or longest side., is equal to the sum of the squares of = the two other sides. Now if the sqna's root of the sum of the squares of the height of...

The Improved Arithmetic: Newly Arranged and Clearly Illustrated, Both ...

Daniel Parker - 1828 - 348 σελίδες
...Greater 49 9 - 32J 63)189 161 189 16 PROB. XII. — " In every right angled triangle, the square of the hypothenuse (or longest side) is equal to the sum of the squares of the two legs :" or the square root of the hypothe» tiuse is equal to the square root of...

Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - 1833 - 150 σελίδες
...demonstrated. PROPOSITION XLVIII. THEOREM. — If the square described on one of the sides of a triangle, be equal to the sum of the squares described on the other two sides of it; the angle made by those two sides is a right angle. Let ABC be a triangle, which is such that...

Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1838 - 359 σελίδες
...PROPOSITION XI. THEOREM. The square described on the hypothenuse of a right angled triangle is equivalent to the sum of the squares described on the other two sides. • Let the triangle ABC be right angled at A. Having described squares on the three sides, let fall...

First Lessons in Geometry: With Practical Applications in Mensuration, and ...

Charles Davies - 1840 - 252 σελίδες
...degrees, and 4=90 degrees. 10. In every right angled triangle, the square described on the hypothenuse, is equal to the sum of the squares described on the other two sides. Thus, if ABC be a right angled triangle, right angled at C, then will the square D described on AB be equal...

Proceedings

...it makes the alternate angles equal. 2. If the square described on one of the sides of a triangle be equal to the sum of the squares described on the other two sides, these sides contain a right angle. 3. Divide a given line into two parts, so that the rectangle contained...

Elements of Plane Geometry: For the Use of Schools

Nicholas Tillinghast - 1844 - 96 σελίδες
...PROP. VII. THEOREM. The square described on the hypotenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides. Let the triangle be Fig. 64. KDI, right angled at I. Describe squares on KD, KI, DI ; then we have...

Elements of Geometry: On the Basis of Dr. Brewster's Legendre : to which is ...

James Bates Thomson - 1844 - 237 σελίδες
...BC^AB'-f-AC". Therefore, The square described on the hypolhcnuse of a right-angled triangle, is equivalent to the sum of the squares described on the other two sides. Cor. 1. Hence, by transposition, the square of one of the sides of a right-angled triangle is equivalent...

Elements of Drawing and Mensuration Applied to the Mechanic Arts: A Book for ...

Charles Davies - 1846 - 240 σελίδες
...right-angled triangle equal to ? In every right-angled triangle, the square described on the hypothenuse, is equal to the sum of the squares described on the other two sides. Thus, if ABC be a rightangled triangle, right-angled at C, then will the square D, described on AB, be equal...

Practical Arithmetic: Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - 1846 - 336 σελίδες
...principle in geometry, that the square described on the hypothenuse of a right-angled triangle, is equal to the sum of the squares described on the other two sides. (Leg. IV. 11. Euc. I. 47.) Thus if the base of the triangle ABC is 4 feet, and the perpendicular 3...