 | W F. Richards - 1856 - 198 Seiten
...equal to the squares of the two parts, together with twice the rectangle contained by the parts. 6. In obtuse-angled triangles, if a perpendicular be...acute angles to the opposite side produced, the square of the side subtending the obtuse angle, is greater than the squares of the sides containing the obtuse... | |
 | 1856 - 376 Seiten
...equal to the squares of the two parts, together with twice the rectangle contamed by the parts. 6. In obtuse-angled triangles if a perpendicular be drawn...acute angles to the opposite side produced, the square of the side subtending the obtuse angle is greater than the squares of the sides containing the obtuse... | |
 | Euclides - 1856 - 168 Seiten
...squares of AD, DB are equal to twice the squares of AC, C D. LV.— EUCLID II. 12. In obtuse angled triangles, if a perpendicular be drawn from either...acute angles to the opposite side produced, the square of the side subtending the obtuse angle is greater than the squares of the sides containing the obtuse... | |
 | 1858 - 398 Seiten
...to the square of the straight line which is made up of the half and the part produced. 8. PUOP. XII. In obtuse-angled triangles, if a perpendicular be...acute angles to the opposite side produced, the square of the side subtending the obtuse angle is greater than the squares of the sides containing the obtuse... | |
 | Great Britain. Parliament. House of Commons - 1858 - 694 Seiten
...to the square of the straight line which is made up of the half and the part produced. 8. PROP. XII. In obtuse-angled triangles, if a perpendicular be...acute angles to the opposite side produced, the square of the side subtending the obtuse angle is greater than the squares of the sides containing the obtuse... | |
 | Euclides - 1858 - 248 Seiten
...produced, the ext. angle is greater than either of the int. and opposite angles. 12. II. In obtuse angled triangles, if a perpendicular be drawn from either...acute angles to the opposite side produced, the square of the side subtending the obtuse angle is greater than the squares of the sides containing the obtuse... | |
 | W. Davis Haskoll - 1858 - 422 Seiten
...the square of the straight line, which is made up of the whole line and that part. In obtuse angled triangles, if a perpendicular be drawn from either...of the acute angles to the opposite side produced, tho square of the side subtending the obtuse angle is greater than GEOMETRICAL MEMORANDA. — PERPEls-DICULARS.... | |
 | Sandhurst roy. military coll - 1859 - 672 Seiten
...condition in italics is not fulfilled, where would the construction for this proposition fail ? 3. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute nngles to the opposite side produced, the square of the side subtending the obtuse angle is greater... | |
 | Civil service - 366 Seiten
...the square of the straight line which is made up of the half and the part produced. PEOP. XII. — In obtuse-angled triangles, if a perpendicular be...acute angles to the opposite side produced, the square of the side subtending the obtuse angle is greater than the squares of the sides containing the obtuse... | |
 | John Paxton Hall - 1860 - 186 Seiten
...the square of the straight line which is made up of the half and the part produced. PROP. XII. — In obtuse-angled triangles, if a perpendicular be...acute angles to the opposite side produced, the square of the side subtending the obtuse angle is greater than the squares of the sides containing the obtuse... | |
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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... 
