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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... "
Euclid's Elements of plane geometry [book 1-6] with explanatory appendix ... - Σελίδα 56
των Euclides - 1840
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - 1882 - 152 σελίδες
...and 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 half and the part produced. 4. If a straight line fall upon two parallel straight lines, it makes the alternate...

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

Mary W I. Shilleto - 1882 - 418 σελίδες
...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 half and the part produced. Show that this proposition is equivalent to the algebraical identity (x + a)2 + (x -...

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

Stewart W. and co - 1884 - 272 σελίδες
...square of 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...

Calendar of Dalhousie College and University

Dalhousie University - 1888 - 212 σελίδες
...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 half and the part produced. 5. Given the measurements of the three sides of a triangle. Explain an easy way of determining...

Annual Report of the Commissioners ..., Τόμος 68

1902 - 482 σελίδες
...and 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 half and the part produced. SECTION B. 7. The angles B and C of a triangle ABC are acute angles, and Section m.....

Annual Report of the Public Schools of the Province of British Columbia

British Columbia. Superintendent of Education - 1893 - 812 σελίδες
...produced to any point, the rectangle contained by the whole line thus produced and the part produced, together with the square of half the line, is equal...the square of the line made up of the half and the part produced. 3. On a given right line to describe a segment of a circle containing an angle equal...

Parliamentary Papers, Τόμος 17

Great Britain. Parliament. House of Commons - 1871 - 902 σελίδες
...whole line thus produced and the part of it produced together with the square ot half the line bisected is equal to the square of the line made up of the half and the part produced. 4. If from any point without a circle two straight lines be drawn, one of which cuts...

Report of Her Majesty's Civil Service Commissioners: Together ..., Τόμοι 15-16

1870 - 964 σελίδες
...whole line thus produced and the part of it produced together with the square of half the line bisected is equal to the square of the line made up of the half and the part produced. 4. If from any point without a circle two straight lines be drawn, one of which cuts...

Report of Her Majesty's Civil Service Commissioners: Together with ..., Τόμος 18

1874 - 748 σελίδες
...line thus produced and the part of it produced, together with the square of half the line bisected is equal to the square of the line made up of the half and part produced. Might the corollary " that the difference of the squares of two " unequal straight lines...




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