Books Books If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ... - Page 117
by Charles Reiner - 1837 - 215 pages ## Elements of geometry and mensuration

Thomas Lund - Geometry - 1854 - 522 pages
...each, to which the equal sides are opposite, .-. / ACS = / BCD = a right angle. 44. PROP. XXII. If a straight line be divided into any two parts, the square of the whole line is equal to the sum of the squares of the two parts together with twice the rectangle* contained by the parts. QDEF.... ## Elements of Geometry, Plane and Spherical Trigonometry and Conic Sections

Horatio Nelson Robinson - Conic sections - 1854 - 350 pages
...demonstration than an explanation of exactly what is meant by the words of the text. THEOREM 33. If a straight line be divided into any two parts, the square of th« whole line is equal to the sum of the squares of the two parts, and twice the rectangle contained... ## National Society's Monthly Paper

1855 - 264 pages
...drawn through the middle points of two sides of a triangle will be parallel to the third side' 5. If a straight line be divided into any two parts, the...together with twice the rectangle contained by the parts. 6. In every triangle, the square of the side suhtending either of the acute angles is less than the... ## The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 262 pages
...of the parts of the divided straight line, their rectangle becomes a square. PROP. IV. THEOREM. If a straight line be divided into any two parts, the...together with twice the rectangle contained by the parts. Let the straig-ht line AB be divided into any two parts at С. square of AB is equal to the squares... ## Minutes of the Committee of Council on Education

Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...to a given triangle, and have one of its angles equal to a given rectilineal angle. Section 2. 1. If a straight line be divided into any two parts, the...together with twice the rectangle contained by the two parts. 2. If a straight line be divided into two equal and also into two unequal parts ; the squares... ## The Popular Educator, Volume 6

1855 - 424 pages
...than in ordinary language. The proposition, (Euclid 4, 2,) that when a straight line is divided into two parts, the square of the whole line is equal to...squares of the two parts, together with twice the product of the parts, is demonstrated, by squaring a binomial. Let the side of a square be represented... ## Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Geometry - 1855 - 336 pages
...therefore, multiplying both members of this equality by c, we shall have oc^ic+c 2 . PROP. IV. THEOR. If a straight line be divided into any two parts, the square of the whole line ts equal to the squares of the two parts, together with twicetke rectangle contained by tin- parts.... ## Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 252 pages
...Parallelograms on the same base and between the same parallels, are .equal to each other. 7. If a right line be divided into any two parts, the square of...together with twice the rectangle contained by the parts. 8. Describe a square that shall be equal to a given rectilineal figure. 9. Find the centre of a given... ## National Society's Monthly Paper

1856 - 376 pages
...angles ; and the three interior angles of every triangle are together equal to two right angles. 5. If a straight line be divided into any two parts, the...of the two parts, together with twice the rectangle contamed by the parts. 6. In obtuse-angled triangles if a perpendicular be drawn from either of the... 