Books Books 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 on the line between the points of section, is equal to the square on half the line. The first and second books of Euclid explained to beginners, by C.P. Mason - Page 144
by Euclid, Charles Peter MASON - 1872 ## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...likewife fquares. PROP, BooklL PRO PV THEO R. 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, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...likcwife fquares. PROP. Book II. 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 Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...'• . c- 43. '• 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... ## Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...are likewife fquares. PROP. V. THEO R. 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 fection, is equal to the fquare of half the line. Let the... ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 320 pages
...parallelograms about the diameter of a square are likewise squares. . PROP. V. THEOR. IF a straight line be divided into two equal parts, and also into...contained by the unequal parts, together with the square of the line between the points of section, are equal to the square of half the line. Let the straight... ## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...the paralJelograms about the diameter of a square are likewise squares. PROP. V. THEOR. IF a straight line be divided into two equal parts, and also into...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. Let the straight... ## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 554 pages
...square are likewise squares. PROP. V. THEOR. IF a straight line be divided into two equal parts, aid 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. Let the straight... ## Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 722 pages
...two parts, together •with twice the rectangle contained by the parts. Prop. V. Theor. If a straight line be divided into two equal parts, and also into...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. Prop. VI. Theor.... ## An Easy Introduction to the Mathematics: In which the Theory and ..., Volume 2

Charles Butler - Mathematics - 1814 - 528 pages
...— 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 corollary, it is evident that CMG=the difference or excess of CF above... 