 | 1899 - 824 σελίδες
...equal in area, prove that PS is parallel toBQ. 4. If the square described on one side of a triangle be equal to the sum of the squares described on the other two sides, the angle contained by these sides is a right angle. Hence show that if the lengths of the three sides... | |
 | Harvard University - 1899 - 39 σελίδες
...perimeters. THEOREM VIII. The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares described on the other two sides. BOOK V. REGULAR POLYGONS AND THE MEASURE OF THE CIRCLE. THEOREM I. An equilateral polygon inscribed... | |
 | Burke Aaron Hinsdale - 1900 - 280 σελίδες
...was the Pythagorean theorem : the square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides, and it proceeded somewhat as follows : Teacher. What have we given in this proposition to base our... | |
 | Canadian Education Association - 1900 - 474 σελίδες
...triangle is equal to two right angles, that the square on the hypothenuse of a right angled triangle is equal to the sum of the squares described on the other two sides, that the angle in a semi-circle is a right angle, the conditions of equality and similarity of triangles,... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 σελίδες
...angles. PROPOSITION 47. THEOREM. In a right.angled triangle the square described on the hypotenuse is equal to the sum of the squares described on the other two sides. LE Let ABC be a right.angled triangle, having the angle BAC a right angle. Then shall the square described... | |
 | Eldred John Brooksmith - 1901 - 368 σελίδες
...also equal to one another. 3. Prove that if the square described on one of the sides of a triangle is equal to the sum of the squares described on the other two sides of it, the angle contained by these two sides is a right angle. 4. Prove that if a straight line be... | |
 | 1901 - 530 σελίδες
...the first book, discovered by Pythagoras, which proves that the square described on the hypotenuse is equal to the sum of the squares described on the other two sides. Hypoth'ec, in Scots law, a claim or right which a creditor has over the effects of a debtor while they... | |
 | Alan Sanders - 1901 - 260 σελίδες
...XI. THEOREM 199 643. The square described on the hypotenuse of a rightangled triangle is equivalent to the sum of the squares described on the other two sides. Let ABC be a right-angled triangle. To Prove BC? = U? + Jc" Proof. Describe squares on the three sides... | |
 | 1901 - 924 σελίδες
...rvlit angle. The well-known property of the fcypothetmne, that the square described on it is •qua! to the sum of the squares described on the other two sides, is proved in the 47th proposition of the in -i book of Euclid's Elements. Hyracotherilim, a genus of... | |
 | Edward Brooks - 1901 - 278 σελίδες
...PROPOSITION XI. — THEOREM. The square described on the hypotenuse of a right trinngle is equivalent to the sum of the squares described on the other two sides. Given. — Let ABC be a triangle, right-angled at B. To Prove. — Then we are to prove that Construct... | |
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The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides. 
