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" If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part. "
The student's guide to the University of Durham, with information respecting ... - Página 136
1880 - 144 páginas
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The Cambridge Examiner, Volumen2

1882
...subtending the right angle is equal to the squares described on the sides which contain the right angle. 14. If a straight line be divided into any two parts,...parts, together with the square on the aforesaid part. 15. Find the centre of a circle. 16. If in a circle two straight lines cut one another which do not...
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The Oxford examiner, ed. by M.W.I. Shilleto, Temas1-5

Mary W I. Shilleto - 1882
...another. What is the greatest value which these complements can have for a given parallelogram ? 4. If a straight line be divided into any two parts,...parts, together with the square on the aforesaid part. If from one of the equal angles of an isosceles triangle a perpendicular be dropped on the opposite...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1882 - 266 páginas
...but and and AF+CE=AE; AF=AD.AC=AB.AC, CE=CF. CB =AB. CB, AB.AC+AB.CB = Proposition 3. Theorem. — If a straight line be divided into any two parts,...contained by the two parts, 'together with the square of the aforesaid part. Let the straight line AB be divided in two parts in the point C, then AB.BC=AC.CB+BC\...
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The Competitor, Volúmenes3-4

1883
...construct a triangle ADE equal to ABC, and having the common angle A. 2. If a straight line be diveded into any two parts, the rectangle contained by the...parts, together with the square on the aforesaid part. 3. To divide a given straight line into two parts, so that the rectangle contained by the whole and...
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The papers set at the professional preliminary examination

College of preceptors - 1882
...right-angled triangle, straight lines parallel to the sides and meeting the sides (produced if necessary). 5. 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 rectangle contained by the two parts together with...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - 1882
...the points of section. 4. Any two angles of a triangle are together less than two right angles. 5. 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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 páginas
...AB, BC, is equal to the square on AB. Wherefore, if a straight line &c. QID PROPOSITION 3. THEOREM. If a straight line be divided into any two parts,...parts, together with the square on the aforesaid part. [I. 46. B BOOK II. 3, 4. On BC describe the square CDEB; produce ED to F, and through A draw.4.FparalleltoC'/>or.S.#.[I...
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The Practical Teacher; with which is Incorporated the Practical ..., Volumen2

Joseph Hughes - 1883
...CA = sq. on BF + sq. on FC that is, the sqs. on В A and CA= twice the sq. BF (the radius). QEP 2. If a straight line be divided into any two parts,...parts, together with the square on the aforesaid part. (Prop. 3, Book II.) 3. In every triangle, the square on the side subtending either of the acute angles...
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The Practical Teacher, Volumen2

1883
...on CA = sq. on BF + sq. on FL that is, the sqs. on BA and CA= twice the sq. BF (the radies). QED 2. If a straight line be divided into any two parts,...contained by the two parts, together with the square os the aforesaid part. (Prop. 3, Book II.) 3. In every triangle, the square on the side subtending...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 96 páginas
...Prop. 1, rect. L . AB = L . AC + L . CB. .-. AB . AB (ie, AB2) = AB . AC + AB . CB. QED PROP. 3. THEOR. If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts will be equal to the square on that part together with the rectangle contained...
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