| Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...D), the rectangle (AD . DB) contained by the unequal parts, together with the square on theyart (CD) **between the points of section, is equal to the square on half the line.** Dem. — On CB describe the square CBEF [I. XLvI.]. Join BF. Through D draw p GB DG parallel to CF,... | |
| Euclides - 1885 - 340 pages
...D), the rectangle (AD . DB) contained by the unequal parts, together with the square on the-part (CD) **between the points of section, is equal to the square on half the line.** Dem. — On CB describe the square CBEF [I. xrvI.]. JoinBF. Through D draw p GB DG parallel to CF,... | |
| George Bruce Halsted - Geometry - 1886 - 394 pages
...into two unequal parts at Z>, and for BD put a, and for DC put b, we get the theorem : If a sect is **divided into two equal parts, and also into two unequal...square on the line between the points of section, is** equivalent to the square on half the sect. 297. If CD = b, and AC = a + b, then their sum AD = a .\-b-\-b,... | |
| Dalhousie University - 1886 - 216 pages
...also into two unequal parts, the rectangle contained by the two latter, together with the square of **the line between the points of section, is equal to the square** of half the line. (Best, by the division of the line.) 3. Deduce from the last problem, and express... | |
| Dalhousie University - 1887 - 206 pages
...straight lines towards the same parts, are also themselves equal and parallel. 9. If a straight line !>e **divided into two equal parts and also into two unequal...section, is equal to the square on half the line.** 10. Divide a given straight line into two parts, so that the rectangle contained by the whole and one... | |
| Canada. Department of the Interior - 1888 - 756 pages
...unequal parts, the squares on the two unequal parts are together doable of the square on half the line **together with the square on the line between the points of section.** 4. Express the last proposition in algebraic language. Aleo state the geometric propositions corresponding... | |
| E. J. Brooksmith - Mathematics - 1889 - 354 pages
...equal to the square on a given straight line which is greater than half AB. 5. If a straight line is **divided into two equal parts, and also into two unequal parts, the** squares on the unequal parts are together double of the square on half the line, and of the square... | |
| Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...ordinary abbreviations may be employed, but the method of proof must be geometrical^ 1. If a straight **line be divided into two equal parts and also into...section, is equal to the square on half the line.** 2. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...EM each = BC. Show that HRMC is a square equivalent to sqs. on AC, CB. PROPOSITION 5. If a straight **line be divided into two equal parts, and also into...section, is equal to the square on half the line.** ' Let AB be bisected at C and divided unequally at D ; then rect. AD, DB with sq. on CD = sq. on CB.... | |
| Queensland. Department of Public Instruction - Education - 1890 - 530 pages
...by these two sides is a right angle. 7. If a straight line be divided into two equal parts, and 11 **also into two unequal parts, the rectangle contained...section, is equal to the square on half the line.** 8. In obtuse-angled triangles, if a perpendicular be 9 drawn from either of the acute angles to the... | |
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