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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 Elements of Euclid; viz. the first six books, together with the eleventh ... - Side 38
av Euclides - 1834
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...line, 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...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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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 sider
...there be two straight lines &c. QBD PROPOSITION 2. THEOREM. If a straight line lie 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 at the point C : the rectangle...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 sider
...parts, tin rectangles contained by the whole and each of the parti are together equal to the square on the whole line. Let the straight line AB be divided into any two parti at the point C: the rectangle contained by AB, BC, together with the rectangle AB, AC, shall...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 sider
...be two straight lines, &c. QED PROPOSITION II. THEOREM. If a itraight line be divided into any two parts, the rectangles contained by the whole and each of the parts, are toyet/ier equal to the square on the whole line. Let the straight line AB be divided into any two parts...
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The ratio between diameter and circumference in a circle demonstrated by ...

James Smith - 1870
...according to Euclid, Prop. 2 : Book 2 : "If a straight line (AB) be divided into any two parts (AC, CB) the rectangles contained by the whole and each of...are together equal to the square of the whole line : that is, AB . AC + AB . BC = A B'. Upon this proposition of Euclid, I found the following theorem...
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Elements of geometry, containing the first two (third and fourth ..., Del 1

Euclides - 1871
...parts of the other. & JC I, 2i PROPOSITION II. THEOREM. 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. Let the st. line AB be divided into any two parts in C. Then must sq. on AB=sum...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1871 - 58 sider
...equivalent to the squares of the two parts, together with twice the rectangle contained by 'the parts. Let the straight line AB be divided into any two parts in C ; the square on AB is equivalent to the squares on AC CB, together with twice the rectangle contained...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 349 sider
...of the other. A \ 'aa M. L Ji Q PROPOSITION II. THEOREM. 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. Let the st. line AB be divided into any two parts in O. Then must sq. on AB=sum...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873
...contained by A, BD, and by A, DE, and by A, EC. DEC II. — If a straight line be divided into any two parts, the rectangles contained by the whole and each...together equal to the square of the whole line. Let AB be divided into any two parts in the point C ; then the rectangle contained by AB, BC, together...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...two straight lines, <kc. QED PROPOSITION 2.— Theorem. 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. Let the straight line AB be divided into any two parts in the point C. Then the...
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