Books Books In any triangle, the square of the side subtending an acute angle is less than the sum of the squares of the... The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ... - Page 111
by Euclides - 1821 ## A Text-book of Euclid's Elements for the Use of Schools. Books I and II, Book 1

Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...straight line given on p. 153, we may enunciate Prop. 13 as follows ; In 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 one of these sides and the... ## Annual Report of the Commissioners ..., Volume 66

1900 - 652 pages
...lines cannot be drawu from the given point to the circumference. 4. In any triangle the square on any 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 them and the intercept... ## Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...that part, together with the square on the other part. 5- Prove that in 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 these sides, and... ## A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 488 pages
...straight line given on p. 153, we may enunciate Prop. 13 as follows ; In 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 one of these sides and the... ## Rational Geometry: A Text-book for the Science of Space; Based on Hilbert's ...

George Bruce Halsted - Geometry - 1904 - 324 pages
...equilateral triangle. _Proof. AB\ 305. Theorem. In any triangle, the square of a side opposite any acute angle is less than the sum of the squares of the other two sides by twice the product of either of those sides cand a sect from the foot of that ...... ## Rational Geometry: A Text-book for the Science of Space; Based on Hilbert's ...

George Bruce Halsted - Geometry - 1904 - 313 pages
...+ FG 2 = (±ABr + (i3(AB) 2 = AB\ 305. Theorem. In any triangle, the square of a side opposite any acute angle is less than the sum of the squares of the other two sides by twice the product of either of those sides c ~ ___ and a sect from the foot of that... ## The Dublin University Calendar, Volume 1

Trinity College (Dublin, Ireland) - 1911 - 616 pages
...and between the same parallels are equal in area. 2. Prove that the square of a side of a triangle subtending an acute angle is less than the sum of the squares of the sides containing the angle by twice a certain rectangle. 3. Prove that chords nearer to the centre of a circle are longer... ## Annual Report of the Department of Education ..., Volume 4, Part 1911; Volume 6

Alberta. Department of Education - Education - 1912 - 244 pages
...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 of these sides,... ## The Calendar

University of South Africa - Universities and colleges - 1913 - 768 pages
...(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 these sides, and... 