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" If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that... "
The Elements of Euclid for the Use of Schools and Colleges: Comprising the ... - Σελίδα 60
των Euclid, Isaac Todhunter - 1883 - 400 σελίδες
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873
...equal to twice the rectangle AB, BC. together with the square of AC. VIII. — If a straight line be divided into any two parts four times the rectangle contained by the wJwle line, and one of the parts, together with the square oftha other part, is equal to the square...

Pure mathematics, Τόμος 1

Edward Atkins - 1874
...square on AC. Therefore, if a straight line, &c. QED Proposition 8. — Theorem. If a straight line be divided into any two parts, four times the rectangle...on the straight line which is made up of the whole line and the first mentioned part. Let the straight line AB be divided into any two parts in the point...

Pure mathematics, Τόμος 1

Edward Atkins - 1874
...square on AC. Therefore, if a straight line, &c. QED Proposition 8. — Theorem. If a straight line be divided into any two parts, four times the rectangle...contained by the whole line and one of the parts, toget/ier with the square on the other part, is equal to the square on tlie straight line which is...

Recent military, naval, and civil service examination papers in mathematics ...

Braithwaite Arnett - 1874
...line thus produced, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. 4. If a straight line drawn through the centre of a circle bisect a straight...

A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874
...line thus produced, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. j Let the straight line AB he hisected at the point ' • C, and produced...

The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...other part. Let AB be the given straight line. It is required to divide AB into two parts, so that the rectangle contained by the whole line, and one of the parts, shall be equal to the square on the other part. Construction. Upon AB describe the square ACDB (I....

Elements of Euclid [selections from book 1-6] adapted to modern methods in ...

Euclides - 1874
...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 by the two parts. Let AB...

Euclidian Geometry

Francis Cuthbertson - 1874 - 349 σελίδες
...rectangle BP, PQ + rectangle BP, QC. Hence, if a straight line be divided into any number of parts, the rectangle contained by the whole line and one of the parts is equal to the square on that part together with the rectangles contained by that part and the other...

Examination Christmas,1875

Education Department,London - 1876
...thus produced and the part of it produced, together •»ith the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. Male Candidates—First Year. 19 2. In every triangle, the square on the...

Elements of Geometry Containing Books I. to VI. and Portions of Books XI ...

James Hamblin Smith - 1876
...line thus produced and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. L. Let the st. line AB be bisected in C and produced to D. Then must rect....




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