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" If a straight line be bisected, and produced to any point, the square of the whole line thus produced, and the square of the part of it produced, are together double of the square of half the line bisected, and of the square of the line made up of the... "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Σελίδα 52
των Robert Simson - 1781 - 466 σελίδες
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Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880 - 68 σελίδες
...part of it produced, are together double of the square of half the line bisected, and of the square of the line made up of the half and the part produced. 2. In a triangle ABC, if the side AB be produced to D, and AC to E, so that AD = twice AB, and CE =...

Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - 1880 - 178 σελίδες
...part of it produced, are together double of the square on half the line bisected and of the square on the line made up of the half and the part produced. Let AB be a straight line bisected in C, and produced to D. Then it is to be proved that The squares on...

University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - 1882 - 152 σελίδες
...part of it produced, are together double of the square of half the line bisected, and of the square of the line made up of the half and the part produced. 4. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to...

The Oxford examiner, ed. by M.W.I. Shilleto, Τεύχη 1-5

Mary W I. Shilleto - 1882 - 418 σελίδες
...part of it produced, are together double of the square of half the line bisected, and of the square of the line made up of the half and the part produced. Show that this proposition is equivalent to the algebraical identity (x + of + (x - of = 2 a:2 + 2...

Class lessons on Euclid

Marianne Nops - 1882 - 278 σελίδες
...the part of it produced (BD), are together double of the squares on half the line bisected (AC), and of the line made up of the half and the part produced (CD).' Sqq. on AD, DB = twice the sqq. on AC, CD. Let AC and CD be the two given lines, then AD is...

Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1883 - 376 σελίδες
...of it produced are together double of the square on half the line bisected and of the square on i/te line made up of the half and the part produced. Let the st. line AB be bisected in C and produced to D. Then miat sum, of sqq. on AD, BD=ttvice sum of sqq....

Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 σελίδες
...the part of it produced, are together twice the square of half the line bisected, and of the square of the line made up of the half and the part produced. Let AB be bisected in C, and produced to D ; then the squares of AD, DB, are twice the squares of AC, CD...

Calendar of Dalhousie College and University

Dalhousie University - 1888 - 212 σελίδες
...part of it produced, are together double of the square of half the line bisected, and of the square of the line made up of the half and the part produced. 5. Given the measurements of the three sides of a triangle. Explain an easy way of determining its...

The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 σελίδες
...produced and the part produced are together double of the square on half the line and of the square on the line made up of the half and the part produced. Let the straight line AB be bisected in C and produced to D; the squares on AD, DB shall be together double...

Euclid's Elements of Geometry, Βιβλία 1-6

Henry Martyn Taylor - 1893 - 486 σελίδες
...thus produced and on the part produced is double of the sum of the squares on half the line and on the line made up of the half and the part produced*. Let the straight line AB be bisected at C, and produced to D : it is required to prove that the sum of the...




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