Books Books If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. The first and second books of Euclid explained to beginners, by C.P. Mason - Page 144
by Euclid, Charles Peter MASON - 1872 ## The First Six Books of the Elements of Euclid: And Propositions I-XXI of ...

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,... ## The first six books of the Elements of Euclid, and propositions i.-xxi. of ...

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,... ## The Elements of Geometry

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,... ## Calendar of Dalhousie College and University

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... ## Calendar of Dalhousie College and University

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... ## Annual Report

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... ## Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

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... ## Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

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... ## The Harpur Euclid: An Edition of Euclid's Elements

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.... 