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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 ... - Page 49
by Euclid, Robert Simson - 1829 - 516 pages

## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...DA is equal to AB : and CE is contained by AB, BC, for BE is equal to AK : PROPOSITION III. THEOREM. If a straight line be divided into any two parts, the rectangle contained ky the whole and one of the parts, is equal to the rectangle contained by the twa parts, together with...

## The Edinburgh university calendar

Edinburgh univ - 1871 - 392 pages
...triangles, what things must be equal, in order that the triangles may be equal in every respect ? 3. If a straight line be divided into any two parts,...parts, together with the square of the foresaid part. 4. Equal straight lines in a circle are equally distant from the centre; and those which are equally...

## Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 pages
...CB. QED • Ex. The square on a straight line is equal to four times tlie square on half the line. 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 st. line AB be divided into any two parts in C. Then must rect. AB,...

## The Elements of Plane and Solid Geometry

Henry William Watson - Geometry - 1871 - 320 pages
...of the parts AE and EB, and the rectangle of CD and EB would be equal to the square of EB, therefore If a straight line be divided into any two parts, the rectangle of the whole line and one of the parts will be equal to the rectangle of the two parts, together with...

## Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...square on a straight line is equal to forr times the square on half the line. PROPOSITION III. 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 st. line AB be divided into any two parts in C. Then must rect. AB,...

## The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...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...

## The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 588 pages
...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...by the two parts, 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...

## A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 pages
...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...