| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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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