| 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... | |
| 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';... | |
| 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,... | |
| Cambridge univ, exam. papers - 1856 - 196 pages
...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... | |
| Euclides - 1858 - 244 pages
...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... | |
| 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... | |
| Euclides - 1871 - 132 pages
...that L FBC= L GCB, that is, i D£C= 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... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 372 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... | |
| Euclides, James Hamblin Smith - Geometry - 1878 - 394 pages
...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... | |
| Euclides, 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... | |
| |