Books Books In every triangle, the square of the side subtending either of the acute angles is less than the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular... Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Page xv
by Robert Potts - 1876 - 403 pages ## Calendar, Part 3

University of Calcutta - 1912 - 746 pages
...parallelogram. 8. In any triangle, the square on the side subtending an acute 8 angle is less than the sum of the squares on the sides containing that angle by...twice the rectangle contained by either of these sides nnd the projection on it of the other. ABC is a triangle and D is the middle point of AB. Prove that... ## Annual Report of the Department of Education ..., Volume 4, Part 1911; Volume 6

Alberta. Department of Education - Education - 1912 - 244 pages
...made up of the half and the part produced. 6 — II. 3 (b) Express the theorem in (o) algebraically. 9 10. In every triangle the square on the side subtending an acute angle is less than the sum of the squares on the sides containing the acute angle, by twice the rectangle contained by either... ## The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - Mathematics - 1912 - 632 pages
...obtuse, the square on the side opposite that angle exceeds the sum of the squares on the remaining sides by twice the rectangle contained by either of these sides and the projection on it of the other. If the squares on one pair of opposite sides of a quadrilateral be together... ## Special Reports on Educational Subjects, Volumes 26-27

Great Britain. Board of Education - Education - 1912 - 1048 pages
...obtuse, the square on the side opposite that angle exceeds the sum of the squares on the remaining sides by twice the rectangle contained by either of these sides and the projection on it of the other. If the squares on one pair of opposite sides of a quadrilateral be together... ## The Calendar

University of South Africa - Universities and colleges - 1913 - 768 pages
...-fb)z — ^ _|_ 2 ab -f b2. (3) (a — b)a — a.. — 2 ah + bi. 14) 0z _ bz = (a -fb) (a — b). 1n every triangle, the square on the side subtending an acute angle is less than the sum of the squares on the sides containing that angle, by twice the rectangle contained by either of... ## Annual Report of the Public Schools of the Province of British Columbia

British Columbia. Superintendent of Education - 1893 - 814 pages
...them of the other. 2. In every triangle the square on the side subtending either of the acute angles is less than the squares on the sides containing that...the rectangle contained by either of these sides and thn straight line intercepted between the acute angle and the perpendicular let full upon it from the... ## The London University Calendar

London univ - 1874 - 778 pages
...hypothcnuse. (>. In any triangle the square of the side subtending an acute angle is less than the squares of the sides containing that angle by twice the rectangle...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. 7. If two chords of a circle... ## Calendar

University of St. Andrews - 1899 - 648 pages
...16. Show that the square on a side of a triangle opposite to an acute angle is less than the sum of the squares on the sides containing that angle by...rectangle contained by either of these sides and the projection on it of the other. ABCD is a quadrilateral, and E and F are the feet of the perpendiculars... ## Parliamentary Papers, Volume 27

Great Britain. Parliament. House of Commons - Great Britain - 1878 - 634 pages
...the side subtending either of the acute angles, is less than the squares of the sides containing (hat angle, by twice the rectangle contained by either...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. 3. In equal circles, equal... 