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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... "
Elements of Geometry: Containing the First Six Books of Euclid : with a ... - Σελίδα 52
των John Playfair - 1837 - 318 σελίδες
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Annual Report of the Commissioners ..., Τόμος 72

1906
...rectilineal angle. 3. 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. 4. In every triangle the square on the side subtending an acute angle is less than...

Annual Report - Dept. of Education

Saskatchewan. Department of Education - 1906
...algebraically. 6. (a) 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. — II. 7. (6) Compare proposition (a) in question 5 with proposition (a) in question...

Calendar

University of Calcutta - 1906
...two parts, prove that the sum 8 of the squares on the whole line and on one of the parts, is eqnal to twice the rectangle contained by the whole and that part, together with the sqnare on the other part. If a straight line Л It is divided internally at //. so that the rectangle...

Annual Report of the Commissioners ..., Τόμος 74

1908
...are respectively Г8 inches, 2'2 inches, and 2'G inches. 2. 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 Geometry. twice the rectangle contained by the whole and that part, together with the square of the...

The Dublin University Calendar, Μέρος 1

Trinity College (Dublin, Ireland) - 1910
...angle and its area equal to the area of a given triangle. 5. 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. («) Prove that the square of the sum of two lines is equal to the square of their difference, together...

Annual Calendar of McGill College and University

McGill University - 1883
...27 days, 7 hours and 43 minutes to the decimal of a year. B. 8. If a right line be divided into anv two parts, the squares of the whole line and of one of tlie parts are equal to twice the rectangle contained by the whole and that part, together with the...

The Dublin University Calendar, Τόμος 1

Trinity College (Dublin, Ireland) - 1919
...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...

Report of the examination held (Dec. 1859)-73

Cowley Oxon, dioc. school - 1860
...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...

Parliamentary Papers, Τόμος 42

Great Britain. Parliament. House of Commons - 1864
...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...

Educational Review

1906
...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...




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