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. Elements of Geometry and Conic Sections - Page 63
by Elias Loomis - 1857 - 226 pages ## Examination Papers

Queen's University (Kingston, Ont.) - 1886 - 912 pages
...straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts together with twice the rectangle contained by the parts. Eue. II. 4. 11. If a parallelogram and a triangle be upon the same base, and between the eame parallels,... ## First Steps in Geometry: A Series of Hints for the Solution of Geometrical ...

Richard Anthony Proctor - Geometry - 1887 - 202 pages
...BC = sq. on AC + 2 sq. on BC + 2 rect. AC, CB = sq.on AC + 2 rect. AB,BC (by III.). PROP. VIII. — Let the straight line AB be divided into any two parts in C, and produced to D, so that BD=BC : then shall the square on AD be equal to four times the rectangle... ## Annual Report

Canada. Department of the Interior - 1888 - 756 pages
...straight line be divided into any two parts, the square on the whole line is equal to the square on the two parts, together with twice the rectangle contained by the parts. 6. To describe a square that shall be equal to a given rectilineal figure, 7. A line drawn bisecting... ## Annual Report of the Schools of New Brunswick ... by the Chief ...

New Brunswick. Board of Education - Education - 1889 - 1006 pages
...straight line be divided into any two parts, the square of the whole line is equal to the squares on the two parts together, with twice the rectangle contained by the parts. Female Candidates for Class I. will omit the 1st and 4th of the foregoing Questions, and work the;... ## Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. If the two complements are together equal to the squares on the two parts, show, either by geometry... ## Prolusiones praemiis anniversariis dignatae et in auditorio recitatae ...

Harrow School - 1890 - 172 pages
...straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. 5. The angles in the same segment of a circle are equal to one another. 6. Let AB be a given finite... ## Euclid's Elements of Geometry, Books 1-6

Henry Martyn Taylor - 1893 - 486 pages
...into any two parts, the square on the whole line is equal to the sum of the squares on the parts and twice the rectangle contained by the parts*. Let the straight line AB be divided into any two parts at the point C : it is required to prove that the square on AB is equal to the sum of the squares on... ## Euclid's Elements of Geometry, Books 1-6; Book 11

Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...into any two parts, the square on the whole line is equal to the sum of the squares on the parts and twice the rectangle contained by the parts'*. Let the straight line AB be divided into any two parts at the point C : it is required to prove that the square on AB is equal to the sum of the squares on... ## Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1897 - 446 pages
...straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. 5. To divide a given straight line into two parts, so that the rectangle contained by the whole and... 