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" IF a straight line be divided into any two parts, the rectangles contained by the whole and each of the parts, are together equal to the square of the whole line. Let the straight line AB be divided... "
The Elements of Euclid; viz. the first six books, together with the eleventh ... - Side 38
av Euclides - 1834
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...— THEOR. If a st. line be divided into any two parts, the rectangles contained by the whole line and each of the parts, are together equal to the square of the whole line. CONS. — 46. I. On a given st. line to describe a square. 31. L Through a given point to draw a parallel...
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Elements of Geometry and Conic Sections

Elias Loomis - 1858 - 234 sider
...equivalent to the squares of the two parts, together with twice the rectangle contained by the parts. Let the straight line AB be divided into any two parts in C ; the square on AB is equivalent to the squares on AC CB, together with twice the rectangle contained...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 1869 sider
...greater than either of the interior opposite angles. 2. If a straight line be divided into any two parts, the rectangles contained by the whole and each of the parts are together equal to the square on the whole line. 3. The straight line drawn at right angles to the diameter of a circle from the...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 sider
...PROPOSITION II. THEOREM. If a straight line be divided into any two parts, the rectangles contained Jty the whole and each of the parts, are together equal to the square on the whole line. Let the straight line AB be divided into any two parts in the point C. Then the...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 sider
...lines, it makes the alternate angles equal to each other. 3. If a straight line be divided into any two parts, the rectangles contained by the whole and each of the parts are together equal to the square on the whole line. 4. In a circle the angle in a semi-circle is a right angle ; but the angle in a...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...square on the other part. (References— Prop. I. 31, 34, 43, 46; II. 4, cor.) Hypothesis. — Lst the straight line AB be divided into any two parts in the point C. Sequence. — The squares on AB and BC shall be equal to twice the rectangle AB . BC, together with...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...with twice the rectangle contained by the parts. (References — Prop. i. 5, 6, 29, 31, 34, 43, 46.) Let the straight line AB be divided into any two parts in C. Then the square of AB shall be equal to the squares of AC, CB, together with twice the rectangle...
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Responsions

University of Oxford - 1863
...on the same side together equal to two right angles. 5. If a straight line be divided into any two parts, the rectangles contained by the whole and each of the parts are together equal to the squares on the whole line. 6. Describe a parallelogram equal to a given rectilineal figure, and having...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...be two straight lines, &c. QED PROPOSITION II. THEOREM. If a ttraight line be divided into any two parts, the rectangles contained by the whole and each of the parts, are together equal to the square on the whole line. Ioint C. conLet the straight line AB be divided into any two parts in the poi: Then...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...PROPOSITION II. THEOREM. If a straight line be divided into any two parts, the rectangles contain! 'I by the whole and each of the parts, are together equal to the square on I he whole line. oint C. at conLet the straight line AB be divided into any two parts in the poi...
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