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Bøker Bok 121130 av 142If a straight line be divided into any two parts, the rectangle contained by the...
" If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part. "
The Elements of Euclid - Side 41
av Euclid - 1838 - 416 sider
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 sider
...= pq + pr= area ofreet. AB, AC + araz ofreet. AB, BC. PROPOSITION 3. If a straight line be divided into any two parts, the rectangle contained by the...contained by the two parts, together with the square on the aforesaid part Let AB be divided at C. Then rect. AB, BC=rect. AC, CB, with sq. on BC. On BC...
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Mathematical Papers for Admission Into the Royal Military College for the ...

Royal Military College, Sandhurst - 1890 - 132 sider
...factors a1, a2, a3, &c. II.— EUCLID AND TRIGONOMETRY. 1. Show that if a straight line be divided into any two parts, the rectangle contained by the...contained by the two parts, together with the square on the aforesaid part. To what algebraical formula does this proposition correspond ? 2. Describe a...
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Rider Papers on Euclid: Books i and Ii, Graduated and Arranged in Order of ...

Rupert Deakin - 1891 - 79 sider
...of the parts are together equal to the square on the. whole line. 3. If a straight line be divided into any two parts, the rectangle contained by the...contained by the two parts, together with the square on the aforesaid part. 4. If a straight line be divided into any two parts, the square on the whole...
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The Educational Record of the Province of Quebec: The Medium ..., Volum 11

1891
...9. If a straight line be divided into any two parts, then the rectangle .contained by the whole line and one of the parts is equal to the rectangle contained by the two parts together with the square on the aforesaid part. Prove this proposition. ALGEBRA (GRADE II. ACADEMY.) SECTION I. 1. Find the...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1892 - 518 sider
...+ &) a + (a + &) I. PROPOSITION 3. THEOREM. If a straight line is divided into any two parts, tlie rectangle contained by the whole and one of the parts is equal to the square on that part together with the rectangle contained by the two parts. Let the straight line AB...
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ELEMENTARY SYNTHETIC GEOMETRY OF THE POINT, LINE AND CIRCLE IN THE PLANE

N. F. DUPUIS, M.A., F.R.S.C. - 1894
...the construction of 183° solves the problem, " To divide a given segment so that the rectangle on the whole and one of the parts is equal to the rectangle on the other part and the segment which is the sum of the whole and the first part." 11. Construct...
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Calendar

University of Sydney - 1898
...it. 3. If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts is equal to the rectangle contained by the two parts together with the square on the aforesaid part. 4. If two straight lines cut one another within a circle, the rectangle contained...
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A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV.

Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 sider
...then AB = a + b units ; and we have (« + bf PROPOSITION 3. THEOREM. If a straight line is divided into any two parts, the rectangle contained by the whole and one of the parts is equal to the square on that part together with the rectangle contained by the two parts. ACB Let the straight line...
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The School World, Volum 3

1901
...is equal in area to the parallelogram AH. either В.— BOOK II. (6) If a straight line is divided into any two parts, the rectangle contained by the whole and one of the parts is equal to the square on that part, together with the rectangle contained by the two parts. If the point of division...
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A Text-book of Euclid's Elements for the Use of Schools, Bok 1

Euclid, H. S. Hall, F. H. Stevens - 1904 - 456 sider
...let CB contain 6 units, BOOK II. PROP. 3. PROPOSITION 3. THEOREM. 133 If a straight line is divided into any two parts, the rectangle contained by the whole and one of the parts is equal to the square on that part together with the rectangle contained by the two parts. ACB Let the straight line...
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