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" If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. "
A System of Popular Geometry: Containing in a Few Lessons So Much of the ... - Página xxxi
por George Darley - 1836 - 128 páginas
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A test-book for students; comprising sets of examination papers upon ...

Thomas Stantial - 1859
..."parallel lines" and "parallelograms" gained from the first book of Euclid. 3. " If a straight line be divided into any two parts, the square of the whole line is equal to the rectangles contained by the whole and each part." Prove this (1) by geometry ; (2) by algebraic demonstration...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 1869 páginas
...a diameter, and is terminated by two opposite sides, bisects the parallelogram. 3. If a right line be divided into any two parts the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. 4. The opposite...
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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 páginas
...bisected in that point, and also bisects the parallelogram. BOOK II. PROP. IV — If a straight lice be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. PROP. IX. — If...
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The Modern Mechanic: A Scientific and Calculator, Comprising Rules and ...

William Grier - 1861 - 316 páginas
...and AD and EF, and AD and FB : thus expressed, AD . AB=AD . AE -f-AD . EF+AD . FB.* If a right line be divided into any two parts, the square of the whole line, is equal to both the rectangles of the whole line and each of the parts. • Instead of the mark X > a point is...
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Responsions

University of Oxford - 1863
...given triangle, and have one of its angles equal to a given rectilineal angle. 7. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. 8. If a straight...
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The Calcutta University Calendar

University of Calcutta - 1864
...first and second shall be equal to that intercepted between the second and third. 5. If a straight line be divided into any two parts, the square of the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. To what algebraical...
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Guide to the Civil service

Henry White - 1864
...proved that the three angles of a triangle are together equal to two right angles. 4. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. 5. Divide a given...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 páginas
...contained by the two parts, together with the square of the aforesaid part. Prop. 4. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. Cor. The parallelograms...
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The Edinburgh university calendar

Edinburgh univ - 1868
...that which has the greater angle shall be greater than the base of the other. 3. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. 4. The diameter...
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The Geometry of the Circle and Mathematics as Applied to Geometry by ...

James Smith - 1869 - 405 páginas
...area of a rectangle of which AD and AE are sides. By Euclid : Prop. 2 : Book 2 : " If a straight line be divided into any two parts •, the square of the whole line is equal to the sum of the rectangles contained by the whole line and each of its parts" Hence : (AD • AE + AD • ED) = A D2,...
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