...of bisection of the three sides to the opposite angles, pass through the same point. 7. The straight line joining the points of bisection of two sides of a triangle, is parallel to the base. S. Straight lines joining the successive middle points of the sides of a quadrilateral...

...joining the vertices of the triangles is bisected by the line containing the bases. Ex. 2. The straight line, joining the points of bisection of two sides of a triangle, is parallel to the base. Ex. 3. The straight lines, joining the middle points of the sides of a triangle,...

...two AS on one side of the diagonal are respectively equal to the two As on the other. (I. 1-38.) 42. The line joining the points of bisection of two sides of a A is parallel to the base. (I. 1-39.) 43. If one side of a A he divided into any number of equal parts,...

...the vertices of the triangles is bisected by the line containing the bases. • Ex. 2. The straight line, joining the points of bisection of two sides of a triangle, is parallel to the base. Ex. 3. The straight lines, joining the middle points of the sides of a triangle,...

...in the same straight line, and on the same side of it, are between the same parallels. The straight line joining the points of bisection of two sides of a triangle, is parallel to the base. 6. In any right-angled triangle the square on the side subtending the right...

...is equal to the difference between the perpendiculars to it from the other vertices. 4. The straight line joining the points of bisection of two sides of a triangle is parallel to the third side. 5. If a straight line be drawn through any vertex of a parallelogram...

...being —, and ¿ с = Z(/(B. i., P. xx., Cor. i.) ; .-., e = fand а = dif. of _Ls. 4. The straight line joining the points of bisection of two sides of a triangle is parallel to the third side. Through one point of bisection draw a line | to the third side ; it...

...point in the straight line bisecting the angle contained by the two sides, are equal. 15. The straight line, joining the points of bisection of two sides of a triangle, is parallel to the base. GRAMMAR. SENIOR FIFTH BOOK. 1. " While men pay reverence to mighty things,...

...A1A2A3...A2n then as regards areas a, <»j . . . asn = | A; A2 . . . A2n + £A,A3. . . A2n-, + iA8A4. . . A2n. The following proof depends only on the theorem that...in writing, let us take the case where n = 4. Then IA AAA { n lnS-iiB-a7 J(A,AtA,...A, - A,AjA, - A3A4A5 - A5A0A7 and £A2A4A,.As = ,As...As - A2A3A4...