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" If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Σελίδα 51
των John Playfair - 1845 - 317 σελίδες
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 488 σελίδες
...of the line between the points of fe&ion, is equal to the fquare of half the line. Let the ftraight line AB be divided into two equal parts in the point C, and into two unequal parts at the point D ; the rectangle AD, DB together with the fquare of CD, is equal to the fquare ofCB....

The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 534 σελίδες
...likcwife fquares. PROP. PRO PV THEO R. Fa ftraight line be divided into two equal parts, and alfo into two unequal parts; the rectangle contained by the unequal parts, together with the fquare of the line between the points of fection, is equal to the fquare of half the line. Let the...

The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 σελίδες
...of the line between the points of fe&ion, is equal to the fquare of half the. line. Let the ftraight line AB be divided into two equal parts in the point C, and into two unequal parts at the point 1); the rectangle AD, DI3, together with the fquare of CD, is equal to the fquare of CB....

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1781 - 534 σελίδες
...EUCLID. PRO PV THEO R. TF a ftraight line be divided into two equal parts, and •*• and alfo into two unequal parts ; the rectangle contained by the unequal parts, together with the fquare of the line between the points of fection,is equal to the fquare of half the line. Let the ftraight...

The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 374 σελίδες
...of the line between the points of fedlion, is equal to the fquare of half the line. Let the ftraight line AB be divided into two equal parts in the point C, and into two unequal parts at the point D ; the rectangle AD, DB, together with the fquare of CD, is equal to the fquare of CB....

The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804 - 530 σελίδες
.../ 47 Book 1L PROP. V. THE OR. • IF a ftraight line be divided into two equal parts, and alfo into two unequal parts ; the rectangle contained by the unequal parts, together with the fquare of the line between the points of fe&ion, is equal to the fquare of half the line. Let the ftraight...

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 σελίδες
...likewise squares. PROP. V. THEOR. IF a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the...equal parts in the point C, and into two unequal parts at the point D ; the rectangle AD, DB, together with the square of CD, is equal to the square of CB....

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 554 σελίδες
...likewise squares. PROP. V. THEOR. IF a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle contained by the...straight line AB be divided into two equal parts in Me point C, and into two unequal parts at the point D; the rectangle AD, DB, together with the square...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1813 - 714 σελίδες
...contained by the parts. Prop. V. Theor. If a straight line be divided into two equal parts, and also into two unequal parts) the rectangle contained by the...section, is equal to the square of half the line. Prop. VI. Theor. If a straight line be bisected, and produced to any point; the rectangle contained...

An Easy Introduction to the Mathematics: In which the Theory and ..., Τόμος 2

Charles Butler - 1814 - 528 σελίδες
...rectangle or product a+xa— x= aa—xx; to each of these equals add xx, and a+xa— x+xx=aa, that b, the rectangle contained by the unequal parts, together with the square of (x) the line between the points of section is equal to the square of (a) half the line. QED In the...




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