 | Woolwich roy. military acad - 1868 - 426 pages
...the magnitudes of the angles of the different triangles referred to, complete the demonstration : " If a straight line be bisected and produced to any point, the squares of the whole line thus produced and the part of it produced are together double of the square... | |
 | Euclides - 1871 - 136 pages
...in D, shew that the sum of the squares on AB, AC is equal to twice the sum of the squares on AD, BD. If a straight line be bisected and produced to any point, the square on the whole line thus produced and the square on the part of it produced are together double... | |
 | Benjamin Hallowell - Geometry - 1872 - 286 pages
...side to which it is parallel in the triangle ABC, and each rhombus is half of ABC. THEOREM II. — If a straight line be bisected and produced to any point, the rectangle of the whole line thus produced and the part produced, with the square of half the line bisected, are... | |
 | Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...the Qs on AD and DB is equal to twice the Q on AC together with twice the Q on C D. PBOPOSITION X. If a straight line be bisected and produced to any point, the square on the whole line thus formed together with the square on the produced part, is equal to twice... | |
 | Euclides - 1872 - 102 pages
...parallelograms is equal to twice the triangle BKD. II. 11. Produce a given straight line to a point such that the rectangle contained by the whole line thus produced and the part produced shall bo equal to the square on the given straight line. in. 22. If the opposite sides of... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...of the squares on AB, AC is equal to twice the sum of the squares on AD, BD. PROPOSITION X. THEOREM. If a straight line be bisected and produced to any point, the square on the whole line thus produced and the square on the part of it produced are together double... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...lines AC, CD, is equal to the rectangle contained by their sum AD and their difference DB. VI. — If a straight line be bisected, and produced to any...contained by the whole line thus produced, and the part produced, together with the square of half the line bisected, is equal to the square of the straight... | |
 | Edward Atkins - 1874 - 426 pages
...squares on AC and CD. =^(A.CH Therefore, if a straight line, &c. QED CD2) Proposition 10. — Theorem. If a straight line be bisected and produced to any point, the 'uare on the whole line thus produced, and the square on the irt of it produced, are together double... | |
 | Braithwaite Arnett - 1874 - 130 pages
...squares about the diameter are 169 and 625 square feet in area, what is the area of each complement ? 3. If a straight line be bisected and produced to any point, the square on the whole line thus produced and the square on the part of it produced, are together double... | |
 | 1874 - 682 pages
...methods given for their solution. 5. 1-х -}-' x=~—; find the values of x. 7? 1U Geometry — 1. If a straight line be bisected, and produced to any point, the square on the whole line thus produced, and the square on the part of it produced, are together double... | |
| |
PROP. X. THEOR. 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... 
