 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...been proved that / FBC= L GCB, that is, / DBC= L ECB. QE D NOTE XII. Euclid's Prop. VI. of Book I. If two angles of a triangle be equal to one another, the sides also which subtend the equal angles shall be equal to one another. In A ABC let iACB= t ABC. Then must AB=AC. For if not,... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...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... | |
 | Braithwaite Arnett - 1874 - 130 pages
...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... | |
 | Euclides - 1874 - 120 pages
...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... | |
 | Edward Atkins - 1874 - 426 pages
...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... | |
 | Euclides - 1874 - 342 pages
...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... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...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... | |
 | Edward Atkins - 1876 - 130 pages
...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... | |
 | Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
...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.... | |
 | Henry Major - 1876 - 784 pages
...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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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. 
