XXX. Given tt'-s'; 1; L. (0-0). ( st); (st):-(sms'); and A-C. XXXII. a—¢; rad. of O through A, C and centre of in. O; and 6x rad. of O touching b and a, c produced. XXXIII B; dist. of centres of in. and cir. Os; and their distances from where I meets b. XXXIV. a=c;sms'; bp a max, XXXV. atc; B; and a line from A to cut a Pr. Pia’----?; and distance of centre of O from b. XXXVIII. b; B; matnc. Or b; B; ma--nc. XXXIX. A, B, C; and mb+na+rc. XL. B; dif. of lines to 6 par. to a and c from centre of in 0; and dif. be tween the sum of these parallels and b. XLI. ; P ; and sum of lines from A and C to the middle points of a and C. XLII. the a formed by joining centre of grav. with centres of in. and cr. Os. XLIII. bp; A; and bis, of b. XLIV. S-; A; bp. XLV. a-ciA-Cand the dif. of As formed cr. ز by l. XLVI. XLVII. XLVIII, XLIX. L. LI. b; bis. of b; and A-Ca maximum. C to, centre of inscribed 0,, tre of O touching b, and a and c pro- C to centre of this O and ins. O. The lines from A, B, C to centre of O touching b and sides a and c produced. ." LIV. b; LV. Given b; B; bis. of 6—(a–c). ma, na are given O’s. LVII. b; A; and point where 2R from B meets b. LVIII. B; p; and distance from middle point of 6 to where p meets cr. O. LIX. b; B : bis. of bx (sms) a max. LX. ac ; A-C; c= ( ss). LXI. 2R; bp a max; ratio of the parts of 2R perpendicular to y below b and above the parallel to b through B. LXII. 2R; (a? +c298; and bp a max. LXIII. a-C; 0–6 and ptr. LXIV. segment between the perpendiculars on 1 from A, C; arc; r: (u—). LXV. B; bp; b=2r X2R. LXVI. b; B; v.vot.t'. LXVII. perpendicular from centre of in. O on its prolongation to meet bis. of b; 1-4 (atc-6). LXVIII. bis, of b;r; R' LXIX. a ; €; and sm-Es'm' when mm' are given lines. A--C;1; K-r. p+b; p2b3 a max. LXXIV. a+c; (s.s) ; and p? = 's's LXXV. (ss).(t—v); (a--c). (ss)-(a--c)). A--C. LXXVI. a'+c;r; and segment of cr. O be low b. LXXVII. B; 2S; b+p. LXXVIII. B; atc; 1 Ep2. LXXX. L;r; A-C.. tre of 'cr, Ó to intersection of ز LXXXII. Given 2S; bpi d-c. LXXXIII. R; a--C; s. s a max. LXXXIV. 262—(bis. of 6); P; axbxc. LXXXV. b; B; and a+p= b. LXXXVI, (a-c) A-C; 6+m when m : 2R, Pr. LXXXVII. b; B; (ac). 2R a max. LXXXVIII. (a+c); (P+6); B, and when deter minable. LXXXIX. 28 ; prolongation of bis. of 6 to cir. of cr. O; a2 +62 +c. XC. b; A-C; m?. -na a max. when mand n are the lines from A and C to middles of a and c. from B, making any < with b. XCII. B; 25; and line from B to divide 6 Pr. R; uxo'; and A-C a max. b; A; and axca max. B being obtuse. XCV. 1 ; l' the bisector of supplement of vertical ; cd. XCVI. b; B; l. (s—s)? a max. XCVII. 2S; B; axc. XCVIII. b; A-C; bis. of b. XCIX. axc+mXn, or a Xc; mXn, when m, n are the lines from A and C to the centre of insc. O. C. b+c; b-a; bp either given, or a B; 19; max. CI. a, b, c to pass through three points. CIV. in b; B a max. pa max. per. from A, C on it. CV. CVI. CVII. CVIII. 3 |