 Therefore, in obtuse-angled triangles, &c. QED PROP. XIII. THEOREM. 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...  Parliamentary Papers - 520. lappuseautors: Great Britain. Parliament. House of Commons - 1879Pilnskats - Par šo grāmatu
 | Robert Simson - 1806 - 546 lapas
...THEOR. See N. IN every triangle, the square of the side subtending any of the acute angles is less than the squares of the sides containing that angle,...upon it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle at B one of its acute angles, and upon BC, one of the sides... | |
 | John Playfair - 1806 - 320 lapas
...THEOR. Book ii. IN every triangle the square of the side subtending any of the acute angles is less than the squares of the sides containing that angle, by twice the rect. angle contained by either of these sides and the straight line intercepted between the perpendicular,... | |
 | John Mason Good - 1813 - 714 lapas
...XIII. Theor. In every triangle, the square of the side subtending any of the acute angles, is less than the squares of the sides containing that angle,...upon it from the opposite angle, and the acute angle. Prop. XIV. Prob. To describe a square that shall be equal to a given rectilineal figure. Book III.... | |
 | Euclides - 1814 - 560 lapas
...XIII. THEOR. IN every triangle, the square of the side subtending any of the acute angles, is less than the squares of the sides containing that angle,...contained by either of these sides, and the straight line intercopted between the perpendicular let fall upon it from the opposite angle, and the acute angle.... | |
 | Euclides - 1816 - 588 lapas
...than the squares of the fides containing that angle, by twice the rectangle contained by either ot these sides, and the straight line intercepted between the perpendicular let fall upon it from ttie opposite angle, and the acute angle. Let ABC be any triangle, and the angle at B one of its acute... | |
 | Daniel Cresswell - 1817 - 454 lapas
...of the base of an isosceles triangle is the double of the rectangle contained by either side, and by the straight line intercepted between the perpendicular,...let fall upon it from the opposite angle, and the extremity of the base. (XIV.) If from any point, in the circumference of the greater of two given concentric... | |
 | John Playfair - 1819 - 350 lapas
...XIII. THEOR. In every triangle, the square of the side subtending any of the acute angles, i$ less than the squares of the sides containing that angle,...upon it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle at B one of its acute angles, and upon BC, one of the sides... | |
 | Daniel Cresswell - 1819 - 446 lapas
...of the base of an isosceles triangle is the double of the rectangle contained by either side, and by the straight line intercepted between the perpendicular,...let fall upon it from the opposite angle, and the extremity of the base. If the vertical angle of the isosceles A be a right angle, the proof of the... | |
 | John Mason Good - 1819 - 800 lapas
...XIII. Theor. In every triangle, the square of the side subtending any of the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle contained by eithei of these sides, and the straight line ¡ntercepuJ between the perpendicular let fall upon it... | |
 | Euclid, Robert Simson - 1821 - 514 lapas
...PROP. XIII. THEOR. IN every triangle, the square of the side subtending any of the acute angles is less than the squares of the sides containing that angle,...sides, and the straight line intercepted between the perpendiculai let fall upon it from the opposite angle, and the acute angle.* Let ABC be any triangle,... | |
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