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" 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; viz. the first six books, together with the eleventh ... - Strona 39
autor: Euclides - 1834
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The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter MASON - 1872
...the same as the rectangles under the whole line BC and each of its parts. PBOPOSITION III. If a right line be divided into any two parts, the rectangle contained by the whole line and one of the parts is equal to the square on that part together with the rectangle contained...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873
...AC, together with the rectangle AB, BC, is equal to the square of AB. III. — If a straight line lie divided into any two parts, the rectangle contained...together with the square of the aforesaid part. Let AB be divided into any two parts in the point C; then the rectangle AB, BC, is equal to the rectangle...
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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874
...this, and ifm=a + b, shew that its symbolical expression is m? = am + bin. PROPOSITION 3. THEOREM. If a straight line be divided into any two parts,...contained by the two parts, together with the square on the aforesaid part. Let the straight line AB be divided into any two parts at the point C: the rectangle...
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Pure Mathematics, Tom 1

Edward Atkins - 1874
...parts AF+ CE. And;.= AB-AC+ AB-BC. AB-BC= BCa+ AC • BC. For AE=AD +CE. Proposition 3.— Theorem. If a straight line be divided into any two parts,...by the whole and one of the parts is equal to the square on t/tnt part, together with the rectangle contained liy the two parts. Let the straight line...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...&c. QED PROPOSITION 3. — Theorem. If a straight line be divided into any two parts, the rectangU contained by the whole and one of the parts is equal...contained by the two parts, together with the square on the aforesaid part. Let the straight line AB be divided into any two parts in the point C. AC .....
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Elements of Euclid [selections from book 1-6] adapted to modern methods in ...

Euclides - 1874
...BAandAC, together with that contained by AB and BC. <^. E. D, PROP. III. — THEOREM. (Euc. II. 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 square of that part, together with the rectangle contained...
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Euclidian Geometry

Francis Cuthbertson - 1874 - Liczba stron: 349
...squares on the whole and on the other part by twice the rectangle contained by the whole and that other part. Let the straight line AB be divided into any two parts in C. A Then shall the square on AC be < the squares on AB and BC by twice the rectangle AB, BC. s Draw...
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Pure mathematics, Tom 1

Edward Atkins - 1874
...BC, is equal to the square on AB. Therefore, if a straight line, &c. QED Proposition 3. — Theorem. If a straight line be divided into any two parts, the rectangle contaiiied by the whole and one of the parts is equal to the square on t/iat part, together with the...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876
...Give some account of it, and of the retribution exacted. Write an essay on " The House of Lords." 1. If a straight line be divided into any two parts,...contained by the two parts, together with the square on the aforesaid part. 2. If a straight line be divided into two equal, and also into two unequal parts,...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - Liczba stron: 119
...BC, is equal to the square on AB. Therefore, if a straight line, &c. QED Proposition 3. — Theorem. If a straight line be divided into any two parts,...by the whole and one of the parts is equal to the square on tJiat part, together with the rectangle contained by the two parts. Let the straight line...
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