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" E the centre of the circle, and join EA, EB. Then, because AF is equal to FB, and FE common to the two triangles AFE, BFE, there are two sides in the one, equal to two sides in the other, and the base EA is equal to the base EB; therefore the angle AFE... "
Elements of the Geometry of Planes and Solids: With Four Plates - Page 16
by Ferdinand Rudolph Hassler - 1828 - 159 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...join EA, EB. Then, because AF is equal to FB, and FE common to the two triangles AFE, BFE, there are two sides in the one equal to two sides in the other, and the base EA is C equal to the base EB ; therefore the angle b8.t. AFE is equal b to the angle BFE:...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...join EA, EB. Then, because AF is equal to FB, and FE common to the two triangles AFE, BFE, there are two sides in the one equal to two sides in the other, and the base EA is equal to the base EB ; therek 8. 1. fore the angle AFE is equal b to the angle BFE...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...join EA, EB. Then because AF is equal to FB, and FE common to the two triangles AFE, 8FE, there are two sides in the one equal to two sides in the other ; hut the base EA is equal to the base EB ; therefore the angle AFE is equal (8. 1.) to the angle BFE....
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...join EA, EB. Then because AF is equal to FB, and FE common to the two triangles AFE, BFE, there are two sides in the one equal to two sides in the other, and the base EA is equal to the base EB ; therefore the angle AFE is equal (8. 1 .) to the angle BFE....
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...EB. Then, because AF is equal f to FB, and FE common t Hypto the two triangles AFE, BFE, there are two sides in the one equal to two sides in the other, each to each ; and the base EA is equal f to the base EB ; therefore the angle AFE is equal * to the angle BFE: but when a...
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Elements of Plane and Spherical Trigonometry: With Its Applications to the ...

John Radford Young - Astronomy - 1833 - 286 pages
...cos. a will necessarily diminish as cos. A diminishes; that is, a will increase as A increases: hence if two triangles have two sides in the one equal to two sides in the other, but the included angle in the first greater than the included angle in the second, then the third side...
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Elements of Plane and Spherical Trigonometry: With Its Applications to the ...

John Radford Young - Astronomy - 1833 - 308 pages
...cos. a will necessarily diminish as cos. A diminishes; that is, « will increase as A increases: hence if two triangles have two sides in the one equal to two sides in the oilier, but the included angle in the first greater than the included artglt in the second, then the...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 pages
...join EA, EB. Then, because AF is equal t to FB, and FE common to the two triangles AFE, BFE, there are two sides in the one, equal to two sides in the other, each to each ; and the base EA is equal t to the base EB ; therefore the angle AFE is equal* to the angle BFE : but when a...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...join EA, EB. Then, because AF is equal to FB, and FE common to the two triangles AFE, BFE, there are two sides in the one equal to two sides in the other, and the base EA is equal to the base EB; therefore the angle AFE is equal" to the angle BFE. But when...
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The Element of Geometry

John Playfair - Geometry - 1836 - 148 pages
...join EA, EB ; then because AF is equal to FB, and FE common to the two triangles AFE, BFE, there are two sides in the one equal to two sides in the other ; and the base EA is equal to the base EB ; therefore the angle AFE is equal (7. 1.) to the angle BFE...
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