| 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... | |
| 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... | |
| 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\... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| |