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" If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. "
Elements of Plane Geometry - Page 64
by Thomas Hunter - 1878 - 132 pages
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Elementary Geometry, Plane and Solid: For Use in High Schools and Academies

Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...other. 2. If a line-segment is divided internally into any three parts, the square on the whole segment is equal to the sum of the rectangles contained by the whole segment and its three parts. 3. Show that if a square and a rectangle have equal perimeters the square...
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The Dublin University Calendar, Volume 1

Trinity College (Dublin, Ireland) - 1909 - 546 pages
...the greater angle is greater than the base of the other ? 4. If a straight line he divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice their rectangle ? 5. Two chords of a circle which are...
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Report of the Examinations Conducted by the Council of Higher Education ...

Newfoundland Council of Higher Education - 1912 - 296 pages
...a right angle. (8 A 6. Prove that, if a straight line be divided into any two parts, the square on the whole line is equal to the sum of the rectangles contained hy the whole line and each of the parts. If the difference of the two rectangles is 119 square feet,...
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The Concise Handbook of Algebra

Aleksandr Vasilʹevich Mikhalev - Mathematics - 2002 - 650 pages
...+ b)2 = a2 + b2 + lab. It is formulated the following way: "If a straight line be divided into any two parts, the square of the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts." The real precursor...
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Annual Calendar of McGill College and University, Montreal

McGill University - 1868 - 396 pages
...Find a square equal to the sum of any number of given squares. 2. If a right line be divided into any two parts, the square of the whole line is equal to the sum of the rectangles under the whole and each of the parts. 3. The square of the side opposite an acute angle of a triangle...
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Proceedings of the Edinburgh Mathematical Society, Volume 12

Edinburgh Mathematical Society - Electronic journals - 1894 - 166 pages
...and the lemma becomes expressible in the form L = 2 3. PROPOSITION I. — The square on a two-part line is equal to the sum of the rectangles contained by the line and the projections upon it of its two parts, [sq. AB = rect. AB, AKcos÷j + rect. AB, KBcosft,]...
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Report of the examination held (Dec. 1859)-73

Cowley Oxon, dioc. school - 1860 - 318 pages
...of every triangle are together equal to two right angles. 3. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. 4. From a given...
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Parliamentary Papers, Volume 19

Great Britain. Parliament. House of Commons - Bills, Legislative - 1861 - 588 pages
...it from two other given points may be equal to each other. 4. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. 5. To divide a...
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United Service Magazine, Volume 3; Volume 94, Page 3

Military art and science - 1860 - 722 pages
...and between the same parallels, are equal to each other. 11. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. 12. The angle at...
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