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Bøker Bok 110 av 20... the sum of the segments of the base is to the sum of the sides as the difference...
" ... 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. "
The Practical Navigator, and Seaman's New Daily Assistant: Being an Epitome ... - Side 34
av John Hamilton Moore - 1791 - 296 sider
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Elements of Plain and Spherical Trigonometry: Together with the Principles ...

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,...
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A System of the Mathematics: Containing the Euclidean Geometry ..., Volum 2

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,...
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A Treatise of Algebra in Two Books: The First Treating of the Arithmetical ...

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...
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The Young Mathematician's Guide: Being a Plain and Easy Introduction to the ...

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,...
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The Young Mathematician's Guide: Being a Plain and Easy Introduction to the ...

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...
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Navigation New Modelled

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...
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The New Practical Navigator: Being a Complete Epitome of Navigation to which ...

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,...
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The Leeds Correspondent, Volum 1

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,...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

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...
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British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Volum 12

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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