Books Books IF a straight line be divided into two equal, and also into two unequal parts ; the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section. First Steps in Geometry: A Series of Hints for the Solution of Geometrical ... - Page 175
by Richard Anthony Proctor - 1887 - 180 pages ## Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...square on any line is quadruple of the square on half that line. PROPOSITION IX. THEOREM. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line, and of the square on the... ## Guide to the army - competitive examinations

Alexander Hadden Hutchinson - 1861 - 128 pages
...angle is equal to the squares described upon the sides which contain the right angle. 2. If a straight line be divided into two equal and also into two unequal parts, the rectangle contained by the unequal parts together with the square cf the line between the points of... ## Examination papers used at the examination of candidates for appointment to ...

War office - 1861 - 260 pages
...Parallelograms upon the same base and between the same parallels are equal to one another. 2. If a straight line be divided into two equal and also into two unequal parts, the rectangle contained by the unequal parts together with the square of the line between the points of... ## The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...together In one straight line. Wherefore, if a straight line, &c. QED PROP. IX.— THEOREM. If a straight line be divided into two equal and also into two unequal parts; then the squares of the two unequal parts are together double of the square of half the line, and of... ## Responsions

University of Oxford - Education, Higher - 1863 - 328 pages
...the square on the straight line which is made up of the half and the part produced. 9. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line and of the square on the... ## The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...in one straight line. Wherefore, if a straight line, &c, QED PROPOSITION IX. THEOREM. If a straight line be divided into two equal, and also into two unequal parts ; the squares on the two unequal parts are torJether double of the square on half the line, and of the square on... ## Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pages
...in one straight line. Wherefore, if a straight line, &c, QED PROPOSITION IX. THEOREM. If a straight line be divided into two equal, and also into two unequal parts ; the squares on the two unequal parts are together double of the square on half the line, and of the square on the... ## Report on Education in the Parochial Schools of the Counties of Aberdeen ...

...the other two sides of it, the angle contained by these two sides is a right angle. 3. If a straight line be divided into two equal and also into two unequal...the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section.... ## Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1866 - 332 pages
...Find a point in a straight line which shall be equally distant from two given points. 5. If a straight line be divided into two equal, and also into two...unequal parts, the squares of the two unequal parts are equal to double the squares of the half, and of the line between the points of section. 6. If a straight... 