 | 1867 - 224 pages
...right angles. 7. 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. [Turn over. 8. Divide a given straight line into two parts, so that... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...PROPOSITION 47. THEOREM. In any right-angled triangle, ihe square which it 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 triangle, having the right angle BAC: the... | |
 | E. M. Reynolds - Geometry - 1868 - 172 pages
...employed. THEOREM XII. 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. 1) L Let ABC be a right-angled triangle, having the right angle BAC... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...XLVII. THEOREM. In any right.angled triangle the square which is de. scribed 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 the rt. L BAG. Then must sq. on... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...NQK; but the whole A FGK is = the A HGK; .-. the remainder FQ is = the remainder QH. PROPOSITION XXXV. In any right-angled triangle, the square described...described on the sides containing the right angle. Let PN, PF, RK be squares described on the sides of the right-angled &PQR. ••Then shall PN the... | |
 | Euclides - 1874 - 120 pages
...PROPOSITION 47. THEOREM. In any right-angled triangle, the square which is described en 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 triangle, having the right angle BAC: the... | |
 | Braithwaite Arnett - 1874 - 130 pages
...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 at C} and if O be the point of... | |
 | Francis Cuthbertson (geometer.) - 1876 - 102 pages
...If one angle of a parallelogram is a right angle, all its angles are right angles. PROPOSITION XXVI. In any right-angled triangle, the square described...described on the sides containing the right angle. Let PQR be a right-angled triangle. Then shall the square on PQ, the side opposite the right angle,... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...its converse ? 5. 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. Prove also by dissection and superposition. 6. Draw through a given... | |
 | Education Department,London - 1876 - 1010 pages
...original parallelogram. 4. In any right angled triangle, the square described upon the side subtending the right angle is equal to the squares described on the sides which contain the right angle. [The construction only is required.] If perpendiculars DF, EG, are dropped... | |
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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 squares described on the sides which contain the right angle. 
