...other. The side AC, opposite the right angle, is called the hypothenuse. It is shown by Geometry, that the square of the hypothenuse is equal to the sum of the squares of the other two sides. It follows that the difference between the square of the hypothenuse...

...other. The side A 0, opposite the right angle, is called the hypothenuse. It is shown by Geometry, that the square of the hypothenuse is equal to the sum of the squares of the other two sides. It follows that the difference between the square of the hypothenuse...

...of the hypothenuse and the other small «2 _ nZ side b is *, b is equal to — — - — For, since the square of the hypothenuse is equal to the sum of the squares of the small sides, 2sb=s2— a2 6=£2_o2 26. If the diagonal of a rectangle is c, and the...

...the third. This case may be solved by means of the known property of a right angled triangle, viz. the square of the hypothenuse is equal to the sum of the squares of the two sides. It may, moreover, be solved with facility by means of the two propositions,...

...through which they pass in coming on to it. From a property of the right-angled triangle, viz. that the square of the hypothenuse is equal to the sum of the squares of the sides enclosing the right angle, an expression is found which will give the thrust at...

...side perpendicular to the base. A Hight-angled Triangle. 388. It will be seen from the diagram that The square of the hypothenuse is equal to the sum of the squares of the other two sides. Hence, 389. To find the hypothenuse, Take the square root of the sum...

...through which they pass in coining on to it. From a property of the right-angled triangle, viz. that the square of the hypothenuse is equal to the sum of the squares of the sides enclosing the right angle, an expression is found which will give the thrust at...

...the other two : for the three figures are proportional to the squares of their homologous sides ; but the square of the hypothenuse is equal to the sum of the squares of the other two sides ; therefore, etc. * PROPOSITION XXX. THEOREM. The segments of two chords,...

...the fact that the radii of a circle are equal, a fact of adjustment from outside ? In a rightangled triangle, the square of the hypothenuse is equal to the sum of the squares of the sides. Are we to look at that, as the result of design ? Kepler's law, that the planets...

...side perpendicular to the base. A Right-angled Triangle. 388. It will be seen from the diagram that The square of the hypothenuse is equal to the sum of the squares of the other two sides. Hence, 389. To find the hypothenuse, Take the square root of the sum...