...equal, shew that the sides subtending them are also equal. 6. Prove that, in a right-angled triangle, the square on the side subtending the right angle, is equal to the square on the sides containing the right angle. 7. If a straight line be divided into two equal, and...

...We have here the celebrated proposition, that the square on the hypotenuse of a rightangled triangle is equal to the squares on the sides containing the right angle ; and other propositions which form part of the system of modem geometry. There is one proposition...

...have here the celebrated proposition, that the square on the hypotenuse of a right-angled triangle is equal to the squares on the sides containing the right angle ; and other propositions which form part of the system of modern geometry. There is one proposition...

...contain the celebrated proposition, that the square on the hypothenuse of a right-angled triangle, is equal to the squares on the sides containing the right angle ; and others which form part of the system of modern geometry. Among these, that which discovers the...

...have here the celebrated proposition that the square on the hypothenuse of a right-angled triangle is equal to the squares on the sides containing the right angle, and other propositions, which form part of the system of modern geometry. There is one proposition...

...completion of the proof, is of no further use. It is only in reality an involved mode of stating, that the square on the side subtending the right angle is equal to the sum of the squares on the two other sides of a right angled triangle.] OF EUCLID. PEOP. XIV. PEOB....

...angles of any rectilineal figure are together equal to four right angles. 4. In a right-angled triangle, the square on the side subtending the right angle is equal to the sum of the squares on the sides containing the right angle. Consider the case of a rectangle, from...

...squares, and so on, for any number. REASON : " In any right-angled triangle, the square which is described on the side subtending the right angle, is equal to the squares described upon tlie sides which contain the right angle." (Euclid, Book I. Prop. 47.) Note. — Any...

...triangle, but shall contain a greater angle. 2. In any right angled triangle, the square which is described on the side subtending the right angle is equal to the squares described on the sides containing the right angle. VOLUNTARY PORTION. 1. Describe an isosceles triangle...

...intersection of its diagonals move ? 10. In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the squares described on the sides which contain the right angle. If a man's head were a sphere of 10 inches diameter,...