| John Harris - 1706 - 253 sider
...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
...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 - 421 sider
...„ 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 - 480 sider
...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 - 480 sider
...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 - 528 sider
...• 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 - 328 sider
...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 - 4 sider
...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 - 317 sider
...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
...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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