 | John Harris - 1706 - 298 páginas
...the fecond Axiom. AXIOM IV. The Bafe it to the Sum of the legs :: at the Difference of the Legs is to the Difference of the Segments of the Bafe made by a, Perpendicular let faff from the Angle oppofite to the Bafe. For, there is alfo another Cafe in plain Oblique Triangles,... | |
 | James Hodgson - 1723 - 724 páginas
...other two Sides ; So is the Tangent of half the Difference of the two Sides, To the Tangent of half the Difference of the Segments of the Bafe made by...Perpendicular let fall from the Angle oppofite to the Bafel That is, in the Oblique-angled Spherical Triangle BDC it will be, — -—- As the t, i BC:t,... | |
 | Philip Ronayne - 1738 - 458 páginas
...„ Side of any Plane Trian- ..--Ч gle, Is to the Sum of the Legs, As the Difference of the Legs, Is to the Difference of the Segments of : the Bafe made by a Per- \ pendicular let fall from the Z ' Angle oppofite to the Baie. From the LB, on the Bafe AC, of... | |
 | John Ward (of Chester.) - 1747 - 516 páginas
...Side of any $£• Plane Triangle is to the Sum of fs'' \ the Legs, as the Difference of the Legs is to the Difference of the Segments of the Bafe made...Perpendicular let fall from the Angle oppofite to the Bafe. sDemonfttatton. From the ,/ B, on the Bafe AC, of the Л ABC, let fall the Perpendicular BD ; on B,... | |
 | John Ward - 1747 - 492 páginas
...of any $£• Plane Triangle is to the Sum of ,.•'' \ the Legs, as the Difference of the Legs is to the Difference of the Segments of the Bafe made by a Per- . pendicular let fall from the Angle ^ . oppofite to the Bafe. ff^""jf — Demonftcatton. k' From... | |
 | Henry Wilson - 1761 - 580 páginas
...• i AXIOM IV. In all Triangles, as the Bafe or greater Side, to the Sum of the other two Sides ; fo the Difference of the Sides to the Difference of the Segments of the Bafe, which Difference fubtraered from the whole Bafe, the Perpendicular falls in the Middle of the Remainder... | |
 | John Hamilton Moore - 1807 - 586 páginas
...fum of the other two fides, .'n is the difference of thofe fides To the difference of the fegments of the bafe made by a perpendicular, let fall from the angle oppofite the bafc. And half the difference of the fegments added to half their fum will give the preater ferment,... | |
 | John Ryley, John Gawthorp, John Whitley - 1815 - 308 páginas
...difference of the sides is to the differenc6 of the segments of the base; therefore, as the ratio of the difference of the sides to the difference of the segments of the base, is given, that of the base to the sum, of the sides is given also; but the base is given, consequently,... | |
 | John Playfair - 1819 - 354 páginas
...the sides, and therefore (16. 6.) the sum of the segments of the base is to the sum of the sides as the difference of the sides to the difference of the segments of the base. Q, ED PROP. VI. In any triangle, twice the rectangle contained by any two sides is to the difference... | |
 | William Nicholson - 1821 - 356 páginas
...If. In any plane 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... | |
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... the sum of the segments of the base is to the sum of the sides as the difference of the sides to the difference of the segments of the base. 
