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 of the line between the points of section, is equal to the square of half the line. The English Journal of Education - Page 272
1851 ## The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...parallelograms about the diameter of a square are likewise squares. PROP. V. THEOR. If a straight Kne be divided into two equal parts, and also into two...section, is equal to the square of half the line. Let the straight line ATI be divided into two equal parts at the point C, and into two unequal parts... ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 317 pages
...PROP. V. THEOR. If a straight line le dividedinto two equal parts, and also into two unequalparts ; the rectangle contained by the unequal parts, together...section, is equal to the square of half the line. Let the straight line AB be divided into two equal parts in the point C, and into two unequal parts... ## Iron: An Illustrated Weekly Journal for Iron and Steel ..., Volume 44

Perry Fairfax Nursey - 1846
...dependent on the 5th Proposition of the 2nd Book of Euclid's Elements, where it is demonstrated, that if a line be divided into two equal parts, and also into two unequal parts, the square of half the line is greater than the rectangle of the two unequal parts. Almost the whole of... ## The Mechanics' Magazine, Museum, Register, Journal, and Gazette, Volume 44

1846
...dependent on the 5th Proposition of the 2nd Book of Euclid's Elements, where it is demonstrated, that if a line be divided into two equal parts, and also into two unequal parts, the square of half the line is greater than the rectangle of the two unequal parts. Almost the whole of... ## Arithmetic, in Two Parts

Frederic A. Adams - 1846 - 212 pages
...what are the numbers ? The theorem on which the solution of this question depends is this, If a number be divided into two equal parts, and also into two unequal parts, the product of the two equal parts, that is, the square of half the number, will equal the product of the... ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1847 - 317 pages
...denoted by a and b ; then, PROP. V. THEOR. If a straight linebe divided into two equal parts, andalsoinlo two unequal parts ; the rectangle contained by the...section, is equal to the square of half the line. Let the straight line AB be divided into two equal parts in the point C, and into two unequal parts... ## The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...manifest, that the parallelograms about the diameter of a square are likewise squares. PROP. V. THEOREM. If a straight line be divided into two equal parts,...section, is equal to the square of half the line. EUCLID S ELEMENTS. PROP. VI. THEOREM. If a straight line be bisected, and produced to any point ; the... ## Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848
...angle is equal to the squares described upon the sides containing the right angle. SECTION III. 1. If a straight line be divided into two equal parts,...of section is equal to the square of half the line. 2. In any triangle the square of the side subtending contained by either of these sides, and the straight... ## Minutes of the Committee of Council on Education, with Appendices, Volume 1

...right angle is equal to the square described upon the sides containing the right angle. Section 3. 1. If a straight line be divided into two equal parts,...line between the points of section is equal to the squares of half the line. 2. In any triangle the square of the side subtending any acute angle is less... 