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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... "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Side 48
av Robert Simson - 1762 - 466 sider
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A Text-book of Euclid's Elements for the Use of Schools, Bok 1

Euclid - 1904 - 456 sider
...is divided into any two parts, the sum of the squares on the whole line and on one of the parts is equal to twice the rectangle contained by the whole and that part, together with the square on the other part. FE Let the straight line AB be divided at C into the two parts AC, CB. Then...
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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...contained by 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)...
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Annual Report of the Commissioners ..., Volum 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...contained by 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...
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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...
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Annual Report of the Commissioners ..., Volum 74

1908
...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...
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The Dublin University Calendar, Volum 1

Trinity College (Dublin, Ireland) - 1910
...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 of the parts are equal...contained by the whole and 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...
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Annual Calendar of McGill College and University

McGill University - 1883
...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 square on the other part. 9. In a circle, the angle in a semicircle is a right angle ; the angle in...
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The Dublin University Calendar, Volum 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 and that part, together with the square of the other part. 3. Prove that angles in the same segment of a circle are equal. (a) Point...
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Report of the examination held (Dec. 1859)-73

Cowley Oxon, dioc. school - 1860
...between the same parallels are equal. 8. If a straight line be divided into any two parts the squares of the whole line and of one of the parts are equal...contained by the whole and that part, together with the square of the other part. 9. If a straight line drawn through the centre of a circle bisect a straight...
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Parliamentary Papers, Volum 42

Great Britain. Parliament. House of Commons - 1864
...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 of the parts, are equal...contained by the whole and that part, together with the square of the other part. Hence show that tlie squares of any two unequal straight lines are together...
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