 | Ontario Chief Superintendent of Education - Education - 1869 - 450 pages
...unequal parts, the rectangle, &c.,B. II., 6. 13. In any triangle the square on the side subtending one of the acute angles is less than. the squares on the sides containing that acute angle, &c., B. II., 13. 14. Divide a line as in B. II. 11, and prove that the squares on the... | |
 | Euclides - 1871 - 136 pages
...— • " In oblique-angled triangles, the square on the side subtending the obtuse angle is greater than the squares on the sides containing that angle, by twice the rectangle contained by one of these sides and the projection of the other on it." The enunciation of Prop. xin. might be altered... | |
 | Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...PROPOSITION XIII. In any triangle the square on the side subtending an acute angle is less than the sum ot the squares on the sides containing that angle by twice the rectangle contained by either of them and the distance between a lina drawn perpendicular to this side (or its production) from the... | |
 | University of Madras - 1873 - 436 pages
...II. VII. In every obtuse angled triangle, prove that the square on the side subtending an acute angle is less than the squares on the sides containing that...line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. (a.) ABC is a triangle having the angle at C obtuse... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...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...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. Let ABC be any triangle,... | |
 | Euclides - 1874 - 342 pages
...triangles, &c. QED PROPOSITION 13.— Theorem. In every triangle, the square on the side subtending either of the acute angles, is less than the squares on the...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. Let ABC be any triangle,... | |
 | Edward Atkins - 1874 - 426 pages
...QED Proposition 13. — Theorem. In every triangle, the square on the side subtending an acute angle is less than the squares on the sides containing that...line intercepted between the perpendicular let fall on it from the opposite angle and the acute angle. Let ABC be any triangle, and the angle at B an acute... | |
 | Euclides - 1874 - 120 pages
...units. PROPOSITION 13. THEOREM. In every triangle, the square on the side subtending an acute angle, is less than the squares on the sides containing that...line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. j Q Let ABC be any triangle, and the angle at B... | |
 | Edward Atkins - 1874 - 428 pages
...Proposition 13.— Theorem. In every triangle, the square on the side subtending an acute angle is less t/ian the squares on the sides containing that angle, by...rectangle contained by either of these sides, and llw straight line intercepted between the perpendicular let fall on it from the opposite angle and... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...AB is= squares on AC, CB PROPOSITION IV. In any triangle the square on the side opposite fo any one of the acute angles is less than the squares on the sides containing it by twice the rectangle contained by either of those sides and the part of it intercepted between... | |
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In every triangle, the square on the side subtending either of the acute angles, is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the acute... 
