 | Robert Potts - 1876 - 446 Seiten
...the rectangle All, BH'\a equal to the square on AH. QEF PROPOSITION XIL THEOREM. In obtuse-iznglml triangles, if a perpendicular be drawn from either of the acute angles to the opposite tide produced, the square on the tide tubtending the obtute angle, it greater than the squares on the... | |
 | Education Department,London - 1876 - 1010 Seiten
...of the half and part produced. Describe a rectangle equal to the difference of two given squares. 2. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles on the opposite side produced, the square on the side subtending the obtuse angle is greater than the... | |
 | Āryabhaṭa - 1878 - 100 Seiten
...of CD and the rectangle BD.DC. Wherefore if a straight lino &c. QED PROP. xxix. THEOREM. (E. 2. 12). In obtuseangled triangles, if a perpendicular be drawn from either of the acute angles to ihe opposite side produced, the square of the side subtending the obtuse angle, is greater than the... | |
 | Moffatt and Paige - 1879 - 506 Seiten
...divided in H so that the rectangle AB, BH is equal to the square on A H. QEF Proposition XII. Theorem. In obtuse-angled triangles, if a perpendicular be...the side subtending the obtuse angle is greater than thi squares on the sides containing the obtuse angle by twice the rectangle contained by the side upon... | |
 | Isaac Sharpless - 1879 - 282 Seiten
...the other sides. Let BAC be an acute angle, then Make AD = AC, and at right angles to AB (I. 22). 22. The square on the side subtending the obtuse angle, is greater than the squares on the other sides. 23. Any side of a triangle is greater than the difference between the other two. 24. Two... | |
 | Edward Harri Mathews - 1879 - 94 Seiten
...produced. ^ Describe a rectergle equal to the difference of two given squares. 2. In obtuse angled triangles, if a perpendicular be drawn from either of the acute angles on the opposite side produced, the square on the side subtending the obtuse angle is greater than the... | |
 | Isaac Todhunter - 1880 - 426 Seiten
...divided at H, so that the rectangle AB, BH is equal to the square on AH. QEF PROPOSITION 12. THEOREM. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the oppotite tide produced, the square on the tide subtending the obtuse angle is greater than the squares... | |
 | Marianne Nops - 1882 - 278 Seiten
...AB. Wherefore the straight line, &c. — QEF PROPOSITION XII., THEOREM. In obtuse-angled triangles the square on the side subtending the obtuse angle...is greater than the squares on the sides containing it, by twice the rectangle contained by one of those sides and the projection of the other upon it,... | |
 | Euclid, Isaac Todhunter - 1883 - 428 Seiten
...divided at H, to that the rectangle AB, BH it equal to the square on AH. QEF PROPOSITION 12. THEOREM. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute anglet to the opposite side produced, the square on the side subtending the obtuse angle it greater... | |
 | 1883 - 548 Seiten
...the sum of the squares on the sides which contain the acute angle ; (e}. In an obtuse-angled triangle the square on the side subtending the obtuse angle is greater than the sum of the squares on the sides containing it ; (/). In an isosceles triangle whose vertical angle... | |
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... the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse... 
