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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 ratio between diameter and circumference in a circle demonstrated by ... - Page 22
by James Smith - 1870
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 pages
...following equations : (i) f+2.5^5 (3) 13 10 Euclid. 1. If a straight line be divided into any two parts, the rectangles contained by the whole and each of...are together equal to the square of the whole line. 2. In equal circles, equal angles stand upon equal circumferences, whether they be at the centres or...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...— 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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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...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 - Geometry, Plane - 1860 - 380 pages
...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 - 714 pages
...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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Responsions

University of Oxford - Education, Higher - 1863 - 316 pages
...same side of it, are between the same parallels. 7. 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. 8. If a straight line be divided into any two parts, the squares on the whole line,...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pages
...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 - 448 pages
...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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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...and the several parts of the divided line. Prop. 2. If a straight line be divided into any two parts, the rectangles contained by the whole and each of...are together equal to the square of the whole line. Prop. 3. If a straight line be divided into any two parts, the rectangle contained by the whole and...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...straight lines, &c. QBD PROPOSITION II. THEOREM. lf 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. Let the straight line AB be divided into any two parts in the point C. Then the...
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