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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 student's guide to the University of Durham, with information respecting ... - Página 136
1880 - 144 páginas
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## The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...rectangle AB, BC, is equal to the square of AB. Wherefore, If a straight line Sjc. QED PROP. III. THEOR. If a straight line be divided into any two parts,...contained by the two parts, together with the square of the aforesaid part, Let the straight line AB be divided into any two parts in the point C : the...
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## Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848
...two sides of it, the angle contained by these two sides is a right angle. Section 3. 1. Prove that if a straight line be divided into any two parts,...contained by the two parts, together with the square of the aforesaid part. 2. Prove that if a straight line be divided into two equal and also two unequal...
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## The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...whole and each of the parts, are together equal to the square of the whole line. PROP. III. THEOREM. If a straight line be divided into any two parts,...contained by the two parts, together with the square of the aforesaid part. PROP. IV. THEOREM. If a straight line be divided into any two parts, the square...
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## The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides, Thomas Tate - 1849 - 108 páginas
...contained by two straight lines AB, AC is sometimes simply called the rectangle AB, AC. PROP. III. THEOR. If a straight line be divided into any two parts,...contained by the whole and one of the parts is equal with the rectangle contained by the two parts, together with the square of the aforesaid part. Let...
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## Papers for the Schoolmaster, Volumen2

1852
...the right angle, is equal to the squares described upon the sides which contain the right angle. III. If a straight line be divided into any two parts,...contained by the two parts, together with the square of the aforesaid part. following sentence, shewing the variou» clauses, &c. :— " Not to do your...
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## The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852
...equal to the two numbers multiplied together.] 90 BOOK II. • xlvi. 1. THE ELEMENTS PROP. III. THEOR. If a straight line be divided into any two parts,...contained by the two parts, together with the square of the aforesaid part. Let the straight line AB be divided into two parts in the point C; the rectangle...
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## The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

...AB, BC, is equal to the square of AB. If therefore a straight line, etc. QED PROPOSITION III. THEOR. If a straight line be divided into any two parts,...the rectangle contained by the two parts, together loith the square of the aforesaid part. Let the straight line AB be divided into any two parts in the...
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## The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...AB, BC, is equal to the square of AB. If, therefore, a straight line, &c. QED PROP. III. — THEOREM. If a straight line be divided into any two parts,...the rectangle contained by the two parts, together mill the square of the aforesaid part. Let the straight line AB be divided into any two parts in the...
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## The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 páginas
...the square of ab. If QED df therefore a straight line, &c. PROPOSITION III. — THEOREM. If a slraigM line be divided into any two parts, the rectangle...rectangle contained by the two parts, together with tlie square of the aforesaid part. LET the straight line ab be divided into any two parts in the point...
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## The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J ..., Libro 1

Euclides - 1853
...into any two parts : then the rectangle contained by the whole line and one of the parts, shall be equal to the rectangle contained by the two parts together with the square of the aforesaid part. Let the straight line AB be divided into any two parts in c. Then. the rectangle...
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