 | John Gummere - 1817 - 392 páginas
...and the whole triangle into two right angled triangles. Then, As the base, or sum of the segments, Is to the sum of the other two sides ; , . So is the...sides, To the difference of the segments of the base.* * DEMONSTRATION. Let ABC, Fig. 48, be a triangle, and CD be perpendicular upon AB. About C as a centre... | |
 | Thomas Leybourn - 1817 - 454 páginas
...QUESTION 1242, by Mr. John Dewhurst, Blackburn. Given the difference of the angles at the base, and the difference of the segments of the base, made by a perpendicular from the vertex ; to construct the triangle when the rectangle under the sum and difference of the... | |
 | John Playfair - 1819 - 354 páginas
...base ; the sum of the segments of the bast is to the sum of the other two sides of the triangle as the difference of those sides to the difference of the segments of the base. For (K. 6.), the rectangle under the sum and difference of the segments of the base is equal to the... | |
 | Miles Bland - 1819 - 442 páginas
...difference of the angles at the base> the ratio of the sides, and the length of a third proportional to the difference of the segments of the base made by a perpendicular from the vertex and the shorter side { to construct the triangle. Let ABC be equal to the given difference... | |
 | Thomas Leybourn - 1819 - 430 páginas
...given circle to inscribe a triangle, such that the difference of its sides shall be in a given ratio to the difference of the segments of the base made by a perpendicular from the vertical angle ; and the prism, whose base is the triangle and altitude the said perpendicular... | |
 | Miles Bland - 1819 - 444 páginas
...difference of the angles at the base, the ratio of the sides, and the length of a third proportional to the difference of the segments of the base made by a perpendicular from the vertex and the shorter side ; to construct the triangle. 24. Given the base of a right-angled... | |
 | William Nicholson - 1821 - 356 páginas
...triangle, as the base, or greater side, is to the sum of the other two sides ; so is the difference of the sides to the difference of the segments of the base, made by a perpendicular let fall from the angle opposite to the base : and if half the difference of the segments be added to half their sum,... | |
 | William Nicholson - 1821 - 356 páginas
...triangle, as the base, or greater side, is to the sum of the other two sides ; so is the difference of the sides to the difference of the segments of the base, made by a perpendicular let fall from the angle opposite to the base : and if half the difference of the 12.02862 9.86786 2.16076 segments be... | |
 | Thomas Simpson - 1821 - 426 páginas
...XI. Jin the base of any plane triangle is to the sum of the two sides, so is the difference of the sides to the difference of the segments of the base, made by a perpendicular falling from the vertical angle. - For, Let ABC be the proposed triangle, and BD the perpendicular;... | |
 | Edward Riddle - 1824 - 572 páginas
...the first case. 3. When the three sides are given to find the angles. As the base, or longest side, is to the sum of the other two sides, so is the difference...the segments of the base, made by a perpendicular from the opposite angle, (Trig. Prop. 7.) Then the half difference added to half the base, gives the... | |
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Is to the sum of the other two sides, So is the difference of those sides To the difference of the segments of the base. 
