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Bøker Bok 110 av 32... will be — As the base or sum of the segments Is to the sum of the other two...
" ... will be — As the base or sum of the segments 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. "
Elements of Plane and Spherical Trigonometry: With Their Applications to ... - Side 19
av Olinthus Gregory - 1816 - 244 sider
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Volum 2

1801 - 426 sider
...right-angled triangles j, it will be As the base, or sum of the segments : 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.* Then \ * J)EMON STRATIOH. From one end B of the least side AB, of the triangle ABC, as a centre, and...
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A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ...

John Bonnycastle - 1806 - 419 sider
...the angles; RULE. '/s 19 Then, as the base, or sum of its segments, 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. And half this difference, being added to half the base, will give the greater segment ; and, subtracted...
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Mathematics, Volum 1

Samuel Webber - 1808
...right-angled triangles ; it will be As the base, or sum of the segments $ Is to tht- sum of the other two sides : : So is the difference of those sides : To the difference of the segments of the hasr.* * DEM0NSTRATI0N. From one end B oi the least side AB, of the triangle ABC, ~ as a centre, and...
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A New and Complete System of Arithmetick: Composed for the Use of the ...

Nicolas Pike - 1808 - 480 sider
...— As the base of any triangle (or sum of the segments of the base) is to the sum of the other two sides : so is the difference of • those sides, to the difference of the two segments of the base, made by letting fall a perpendicular to the base from the angle opposite...
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A Treatise on Surveying, Containing the Theory and Practice: To which is ...

John Gummere - 1814 - 346 sider
...• , As the base, or sum of the segments, * ;'• .Is to the sum of the other two sided ; . 'f • So is the difference of those sides, To the difference of the segments of the base.* * •' *~ * • • . ».» »"••••••.'.. "• * DEMONSTRATION. Let ABC, Fig. 48, be a...
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A Treatise on Surveying: Containing the Theory and Practice : to which is ...

John Gummere - 1817 - 206 sider
...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 difference of those sides, ' To the difference of the segments of the base.* * DEMOSSTHATIOS. Let ABC, Fig. 48, be a triangle, and CD be perpendi cular upon AB. About С as a ceñiré...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 sider
...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...
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The Practical Arithmetic: In which the Principles of Operating by Numbers ...

1829 - 180 sider
...after the FOLLOWING MANNER : 349 a. As the WHOLE BASE : is to the BUM OF THE TWO SHOBTEI •iiDEB : : so is the DIFFERENCE of those sides : to the DIFFERENCE OF THE * The longest side of a triangle is usually called the hase, except in a right an glcd triangle, where...
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Mathematics for Practical Men

Olinthus Gregory - 1833 - 427 sider
...1st Method. — Assume the longest of the three sides as base, then say, conformably with prop. 16, As the base, To the sum of the two other sides ; So...sides, To the difference of the segments of the base. Half the base added to the said difference gives the greater segment, and made less by it gives the...
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A Complete System of Mensuration of Superfices and Solids, of All Regular ...

Tobias Ostrander - 1833 - 159 sider
...circumscribing the triangle. Rule—As the whole length of the base 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; half the said difference added to half the base gives the greater of the two segments, subtracted leaves...
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