 In a right.angled triangle, the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle . . . . 130 Applications of Pythagoras' theorem . . . . 132 THEOREM 6.  A Shorter Geometry - Page xiiiLimited preview - About this book
 | William Ernst Paterson - Logarithms - 1911 - 262 pages
...the other, and the sides about the equal angles in the same ratio. Prop. 13. (Pythagoras' Theorem.) In a right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides. Parallel Lines. Prop. 14. (a) If a line is drawn to cut two... | |
 | Charles W. Morey - Arithmetic - 1911 - 454 pages
...the square on the hypotenuse compare with the sum of the squares on the altitude and base ? In any right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides. Letting h represent the hypotenuse, a the altitude, and b the... | |
 | James Welton, Alexander James Monahan - Logic - 1911 - 544 pages
...therefore a proprium. That the ' square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the sides containing the right angle ' is also a proprium, because it is an attribute common to all right-angled triangles, which can be... | |
 | Edward L. Bates, Frederick Charlesworth - Geometry - 1912 - 648 pages
...proportional between AD and AC. ie, if squares be constructed on the hypotenuse, and the two sides of a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the two sides. ie, BC is a mean proportional between DC and AC. (iv.) Since, AB2... | |
 | Frederick Converse Beach, George Edwin Rines - Encyclopedias and dictionaries - 1912 - 812 pages
...Pythagore'an Theorem, the 47th proposition of the first book of Euclid's Elements, which shows that in any right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides. Pythagore'anism, the philosophical doctrine of the Pythagoreans,... | |
 | University of Aberdeen - 1915 - 944 pages
...straight line. Construct a right-angled triangle, having given one side and the angle opposite to it. 13. In a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the other sides. The diagonals of a quadrilateral intersect at right angles. Prove... | |
 | Henry Lewis Rietz, Arthur Robert Crathorne, Edson Homer Taylor - Algebra - 1915 - 298 pages
...first he lost 5 %, and on the second he gained 12 %. What was each investment if the net gain was $251? In a right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides. The hypotenuse is the side opposite the right angle. In Fig.... | |
 | Henry Lewis Rietz, Arthur Robert Crathorne, Edson Homer Taylor - Algebra - 1915 - 302 pages
...per hour. If the round trip takes 6 hours, how long is the path? EQUATIONS AND PROBLEMS [CHAP. IX. In- a right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides. The hypotenuse is the side opposite the right angle. In Fig.... | |
 | William Charles Popplewell - Geodesy - 1915 - 272 pages
...first book of Euclid may be made use of in the following way : — This proposition says that in any right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the remaining sides. So that if a triangle be taken whose sides are in the ratio... | |
 | Newfoundland Council of Higher Education - 1915 - 232 pages
...line through A passes through D, and (ii) when it does not pass through D. (12) 6. Prove that in any right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides. A CB is a triangle right-angled at C, and from D the middle... | |
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