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" 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. "
A Treatise on Spherics: Comprising the Elements of Spherical Geometry, and ... - Page 54
by Daniel Cresswell - 1816 - 294 pages
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A concise system of mathematics

Alexander Ingram - Mathematics - 1830 - 462 pages
...angles at the base of an isosceles spherical triangle are equal to one another. Cor. 1. If two of the angles of a spherical triangle be equal to one another, the sides opposite to them are also equal. PROP. VIII. Any two sides of a spherical triangle are together greater...
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The English Journal of Education, Volume 5

Education - 1851 - 502 pages
...is the cost of '075 of a ton ? SECTION III.—1. If two angles of a triangle be equal to each otber, the sides also which subtend the equal angles shall be equal to each other. 3. The base of a right-angled triangle is 156 feet, and the angle at its base 52 37';...
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The popular educator, Volume 4; Volume 7

Popular educator - 1854 - 1274 pages
...straight line equal to a given straight line. 3. If two angles of a triangle be equal to each other, the sides also which subtend the equal angles, shall be equal to one another. 4. Show that if two triangles have two sides of the one equal to two sides of the other, each to each,...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...JanuaTy 10, 1856. 12$ to 3^. SECOND DIVISION (A.) 1. If two angles of a triangle be equal to each other, the sides also which subtend the equal angles, shall be equal to each other. If one angle of a triangle be equal to the sum of the other two, the triangle can always...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...angles on the other side of the base shall be equal. Ax. 1. Magnitudes, &c. 6. 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. Ax. 3. If equals be taken, &c. 34. I. The opposite sides and angles of parallelograms are equal to...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 pages
...which a sum of money will lie doubled at 85 per cent, compound interest. Euclid. 1. 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. 2. If two triangles have two angles of one equal to two angles of the other, each to each, and one...
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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871
...that L FBC= L GCB, that is, i DC= L ECB. 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, AB is either greater or less than AC. Suppose...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 349 pages
...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, AB is either greater or less than AC. Suppose...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides - 1878
...that is, / DBC= L ECB. 1.4 Ax. 3. 1.4. Ax. 3. QED NOTE 12. Euclid s Proof of I. 6. If two angles of a triangle be equal to one another, the sides also,...which subtend the equal angles, shall be equal to one anotiier. In &ABC let L ACB= L ABO. Thenmust AB=AC. For if not, AB is either greater or less than Ad...
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Elements of Geometry: Containing Books 1. to Vi. and Portions of Books Xi ...

James Hamblin Smith - Euclid's Elements - 1879 - 378 pages
...that L FBC= L GCB, that is, L DBC= L ECB. QB NOTE 12. Euclid: s Proof of I. 6. If two angles of a, triangle be equal to one another, the sides also, which subtend the equal angles, shall bt equal to one another. n In A ABC let L ACB= L ABO. Tlien must AB=AC. For if not, AB is either greater...
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