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" If two angles of a triangle be equal to one another, the sides also which subtend, or are opposite to, the equal angles, shall be equal to one another. "
Euclid's plane geometry, practically applied; book i, with explanatory notes ... - Side 21
av Euclides - 1863
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873
...angles at the base, &c. COROLLARY. — Hence every equilateral triangle is also equiangular. VI. — If two angles of a triangle be equal to one another, the sides also which subtend, or are opposite to ths equal angles, shall be equal to one another. Let ABC be a triangle having the angle ABC equal to...
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Recent military, naval, and civil service examination papers in mathematics ...

Braithwaite Arnett - 1874
...EXAMINATION FOR FIRST APPOINTMENTS TO THE CAVALRY AND INFANTRY. January, 1874. EUCLID (BoOK I.) 1. If two angles of a triangle be equal to one another,...to, the equal angles shall be equal to one another. 2. If from the ends of the side of a triangle there be drawn two straight lines to a point within the...
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Pure mathematics, Volum 1

Edward Atkins - 1874
...COROLLARY. — Hence every equilateral triangle is also equiangular. Proposition 6. — Theorem. ]J two angles of a triangle be equal to one another,...which subtend, or are opposite to, the equal angles, sludl be equal to one another. Let ABO be a triangle having the angle ABC equal to the angle ACB. The...
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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874
...equal to one another. [Draw the diagonal.] PROPOSITION 6. THEOREM. If two angles of a triangle lie equal to one another, the sides also which subtend,...to, the equal angles, shall be equal to one another. j Let ABC be a triangle, ' • having the angle ABC equal to the angle ACB. The side AC shall be equal...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...PROPOSITION 6. — Theorem. If two angles of a triangle be equal to each other, the sides also whieh subtend, or are opposite to, the equal angles, shall be equal to one another. Let ABC be a triangle haying the angle ABC equal to the angle Then the side AB shall be equal to the...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 sider
...to the first eighfr questions ; those who take Books I and II, will omit the first two questions. 1. If two angles of a triangle be equal to one another,...to, the equal angles, shall be equal to one another. 2. If one side of a triangle be produced, the exterior angle shall be greater than either of the interior...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 sider
...COROLLARY. — Hence every equilateral triangle is also equiangular. Proposition 6.— Theorem. Jf two angles of a triangle be equal to one another,...to, the equal angles, shall be equal to one another. Let ABC bs a triangle having the angle ABC equal to the angle ACB. The side AB shall be equal to the...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1876 - 349 sider
...Also it has been proved that L FBC= L GCB, that is, i DBC= L ECB. QED NOTE 12. Euclid* Proof of I. 6. If two angles of a triangle be equal to one another, the sides also, which sultend the equal angles, shall be equal to one anotlier. In A ABC let / ACB = .L ABO. Then must AB=AG....
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876
...full notes of a lesson on the sun. EUCLID. — 1. If two angles of a triangle he equal to each other, the sides also which subtend, or are opposite to, the equal angles, shall beequal to one another. What is a corollaiij ? Give the corollary to this proposition. 2. If from the...
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Report of Her Majesty's Civil Service Commissioners: Together with ..., Volum 21

1877
...3) written 2"~1[ -• --- i - -! \ 1.2.3. ..(я-l) EUCLID. Tuesday, 13th June 1876. 2 PM to 5 PM 1. If two angles of a triangle be equal to one another,...to, the equal angles, shall be equal to one another. 2. Equal triangles upon equal bases, ¡n the same straight line, and towards the same parts, are between...
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