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" If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Strona 121
autor: John Playfair - 1806 - Liczba stron: 311
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The Element of Geometry

John Playfair - 1836 - Liczba stron: 114
...the base DF, and the triangle ABC is equivalent to the triangle DEF. Therefore, if two triangles have two angles of one equal to two angles of the other, each to each ; and one side equal to one side, the triangles shall be equivalent. Which was to be proved. PROP. VII. THEOR....
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - Liczba stron: 472
...greater than the angle contained by the sides of the other. XXVI. If two triangles have two angles of the one equal to two angles of the other, each to each ; and one side equal to one side, viz. either the sides adjacent to the equal angles, or the sides opposite...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1836 - Liczba stron: 471
...the two H< , ; , triangles FKC, FLC, there are two,angles of one equal to two angles of the otrter, each to each, and the side FC, which is adjacent to the «qual angles in each, K g 28. V 1 is common to both ; therefore the oiher sides are equal • to the...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - Liczba stron: 88
...:. Z BAC must be > Z EOF. PROPOSITION XXVI. (Argument ad absurdum). Theorem. If two triangles have two angles of one equal to two angles of the other, each to each, and one side equal to one side; viz., either the sides adjacent to the equal angles, or opposite to the...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - Liczba stron: 240
...is equal to KCF, and the right angle FHC equal to the right angle FKC ; in the triangles FHC, FKC, there are two angles of one equal to two angles of the other, and the side FC, which is opposite to one of the equal angles in each, is common to both ; therefore...
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Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - 1837 - Liczba stron: 215
...to it. M. — Here, then, is a third instance of equality in triangles : what is it ? angles of the one equal to two angles of the other, each to each, and have likewise the sides adjacent to the equal angles equal to each other. M. — Repeat, now, all you...
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The Elements of Euclid

Euclid - 1838 - Liczba stron: 416
...HCF is equal to KCF, and the right angle FHC equal to the right angle FKC; in the triangles FHC, FKC there are two angles of one equal to two angles of the other, and the side FC, which is opposite to one of the equal anglesin each, is common to both ; therefore...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...Wherefore, if two triangles, &c. Q. t, n. PROP. XXVI. THEOR. °V'.' If two triangles have two angles of the one equal to two angles of the other, each to each ; and one side equal to one side, vis. either the sides adjacent to the equal angles, or the sides opposite...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - Liczba stron: 351
...EDF. Wherefore, if two triangles, &c. UED PROP. XXVI. THEOR. If two triangles have two angles of the one equal to two angles of the other, each to each; and one side equal to one side, viz. either the sides adjacent to the equal angles, or the sides opposite...
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The Penny Cyclopædia of the Society for the Diffusion of Useful Knowledge ...

1842
...must then meet in some point e, nnd the angle aeb will be equal to ACB. If then two triangles have two angles of one equal to two angles of the other, each to each, the third angle of the one must be equal to the third angle of the other; and this much being established,...
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