. Elements of geometry : containing books I to III. I and join .1 E I. 10. At Bmake . CEF*= t D. I. 2a Draw AFQ to BC, and from Cdnm n Bame base and between same ||s. I. 41. .\CJFECQ=lA1 Ax. G. and .C7 //.m; has one oi CEF i D. .-. CJ FECQ lias been described as ffas reqd. Q. K. V. i. Describe a triangle, which shall be equal to a givenparallelogram, and have one of its angles equal to a givenrectilineal angle. 1. Con trucl ?? parallelogram, equal to a given trieand inch thai the sum of il - Bides -hall be equal to the the rides of the triangle. :;. The perimeter oi an iso c<; is gre
. Elements of geometry : containing books I to III. I and join .1 E I. 10. At Bmake . CEF*= t D. I. 2a Draw AFQ to BC, and from Cdnm n Bame base and between same ||s. I. 41. .\CJFECQ=lA1 Ax. G. and .C7 //.m; has one oi CEF i D. .-. CJ FECQ lias been described as ffas reqd. Q. K. V. i. Describe a triangle, which shall be equal to a givenparallelogram, and have one of its angles equal to a givenrectilineal angle. 1. Con trucl ?? parallelogram, equal to a given trieand inch thai the sum of il - Bides -hall be equal to the the rides of the triangle. :;. The perimeter oi an iso c<; is greater than the perimeter of a i which is of the Bame altitude nth, and equal to, tire given trial Book I.] P&OPOSITION XL/I/. Proposition XLIII. complements of vraUelograms, which muter of any parallelogram, are equal to one Let ABCD be a £7, of which BD is a diagonal, andEG, HK the Ds about BD. that is, through which BDpasses, and AF, FG the other Ds, which make up the wholefigure ABCD, and which are .. called the a must complement AF=com lement V BD is a diagonal of CD A . CDJ5 respectively, then remaining ZZ7 AF= remaining ZZ7 /•>. ,\x. 3. Q. E. D. Ex. l. If through a point Q, within a parallelogramABCD-, two straight lines are drawn parallel to 1and rhe parallelograms OB, OD are equal ; the point 0 isin the diagonal JC. , AB(D is a parallelogram, AMN a straight linemeeting the Bides L, 7> (one of them being prodM, N. Shew that tliu triangle MBN is equal to tfa . 7o EUCLIDS [Book L Proposition XLTV. Problem. 7V> a given straight line
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