Books Books If a straight line be divided into any two parts, four times the rectangle contained ~by the whole line and one of the parts, together with the square on the other part, is equal to the square on the straight line which is made up of the whole and that... Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory, and N ... - Page 85
by John Mason Good - 1813 A Text-book of Geometrical Deductions: Book I [-II] Corresponding to ..., Book 2

...and that part, together with the square on the other part. Enunciations of Euclid, Book II. 181 8. If a straight line be divided into any two parts,...line and one of the parts, together with the square on the other part, shall be equal to the square on the line made up of the whole and the first part.... The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1892 - 518 pages
...Let AB = a, and BC = 6; thenAC = ii-6. Hence we have a2 + 62 = 2a6 + (a - b)\ PROPOSITION 8. THEOREM. If a straight line be divided into any two parts,...line and one of the parts, together with the square on the other part, is equal to the square on the straight line which is made up of the whole and that... Report of the Secretary for Public Instruction ...

...half and the part produced. 4. If a straight line be divided into any two parts, four 12 times tho rectangle contained by the whole line and one of the parts, together with the square on the other part, is equftl to tin1 square on the straight line which is made up of the whole and... A Text-book of Geometrical Deductions: Corresponding to Euclid, book ..., Book 2

James Blaikie - 1892
...contained by the whole line and each of the parts. 3. If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts shall be equal to the square on that part, together with the rectangle contained by the parts. 4. If... Euclid's Elements of Geometry, Books 1-6

Henry Martyn Taylor - 1893 - 504 pages
...respectively, the angle BAC is a right angle. PROPOSITION 3. If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts is equal to the sum of the square on that part and the rectangle contained by the two parts*. Let the... Euclid's Elements of Geometry, Books 1-6; Book 11

Henry Martyn Taylor - Euclid's Elements - 1895 - 657 pages
...respectively, the angle BAC is a right angle. PROPOSITION 3. If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts is equal to the sum of the square on that part and the rectangle contained by the two parts*. Let the... Report of the Secretary for Public Instruction ...

...20, without producing a side of the triangle. 7 6. If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts is equal to the square on that part together with the rectangle contained by the two parts. 8 7. If... Calendar

University of Sydney - 1898
...drawn through a given point in one side of it. 3. If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts is equal to the rectangle contained by the two parts together with the square on the aforesaid part.... A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV., Book 1

Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 304 pages
...points of Euclid's proof. PROPOSITION 8. THEOREM. If a straight line, is divided into any two jmrts, four times the rectangle contained by the whole line and one of the parts, together with the square on the other part, is equal to the square on the straight line which is made up of the whole and the... 