 | Trinity College (Dublin, Ireland) - 1913 - 568 σελίδες
...straight line he divided into any two parts, prove that the squares on the whole line and of one of these parts are equal to twice the rectangle contained by the whole and that part, together witli the square of the other part. 4. State what is meant by a tangent to a circle. (a) If a straight... | |
 | Trinity College (Dublin, Ireland) - 1919 - 562 σελίδες
...straight line be divided into any two parts, the sum of the squares on the whole line and one part is equal to twice the rectangle contained by the whole...part, together with the square of the other part. 3. Prove that angles in the same segment of a circle are equal. (a) Point out how Euclid deduces the... | |
 | Cowley Oxon, dioc. school - 1860 - 318 σελίδες
...one another. 8. Define "rectangle" and "gnomon." 9. Shew that if a straight line be divided into any two parts, the squares of the whole line and of one...that part together with the square of the other part. 10. Shew that in a circle the angle in a semicircle is a right angle. By help of this Proposition draw... | |
 | Great Britain. Parliament. House of Commons - 1864 - 700 σελίδες
...equal to twice as many right angles as the figure has sides. 7. If a straight line be divided into any two parts, the squares of the whole line, and of one...part, together with the square of the other part. Hence show that tlie squares of any two unequal straight lines are together greater than twice the... | |
 | Nicholas Murray Butler, Frank Pierrepont Graves, William McAndrew - 1906 - 558 σελίδες
...another. 9. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle...the whole and that part, together with the square on the other part. 1o. From a given point O external to a given circle draw a straight line OPQ to... | |
 | London univ - 1874 - 778 σελίδες
...having an angle equal to a given angle. 5. If a straight line is divided into any two parts, the square! of the whole line and of one of the parts are equal to twice the rectangle contained by the whole line and that part, together with the square of the other part 6. From a point outside a circle draw... | |
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If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided... 
