 | Braithwaite Arnett - 1874 - 130 pages
...than either of the interior opposite angles . 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 which contain the right angle. 3. If A CB be a triangle right-angled... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...absurd. PROP. XXXVII.— THEOREM. (Euc. I. 47.) In any right-angled triangle, the square described upon the side subtending the right angle is equal to the sum of (he squares described upon the sides containing the right angle. Let ABC be a right-angled triangle... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...in the duplicate ratio of their homologous sides. 5. In any right angled triangle, any rectilineal figure described on the side subtending the right angle is equal to the similar and similarly described figures on the sides containing the right angle. 6. To describe a triangle,... | |
 | 1876 - 400 pages
...points of the sides of the triangle is parallel to the base. 3. In any right-angled triangle the square described on the side subtending the right angle is equal to the squares described on the sides which contain the right angle. SECTION IV. 1 . If a straight line be... | |
 | Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
...proof of Prop. XLVIU. PROPOSITION XLVII. THEOREM. 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. Let ABC be a right-angled A , having... | |
 | Education Department,London - 1876 - 1010 pages
...points of the sides of a triangle is parallel to the base. 3. In any right-angled triangle the square described on the side subtending the right angle is equal to the squares described on the sides which contain the right angle. SECTION IV. 1. If a straight line be... | |
 | Samuel H. Winter - 1877 - 452 pages
...angles equal to two right angles, the triangles are equal. 3. 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. Show how to construct a straight line, the square... | |
 | 1878 - 632 pages
...and OP is constant, find the locus of the point Q. 4. In any right-angled triangle, any rectilineal figure described on the side subtending the right angle is equal to the similar and similarly described figures on the sides containing the right angle. 5. Determine the price... | |
 | J T. Amner - 1878 - 226 pages
...points of the sides of a triangle is parallel to the base. 3. In any right-angled triangle the square described on the side subtending the right angle is equal to the squares described on the sides which contain the right angle. Section 4. 1. If a straight line be divided... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...all the angles are right angles. Proposition 42. Theorem.—In any right-angled triangle the square described on the side subtending the right angle, is equal to the sum of the squares described on the sides containing the right angle. On BC describe (I. 41) the square BE; and... | |
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In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the sum of the squares described on the sides which contain the right angle. 
