| Henry Latham - 1857 - 390 pages
...What instruments are alone permitted to be used in the constructions of Euclid, and why? The angles **at the base of an isosceles triangle are equal to one another.** 2. The opposite sides and angles of parallelograms are equal to one another. If through the opposite... | |
| Elias Loomis - Conic sections - 1858 - 256 pages
...less than the sum of BA and AC, Therefore, if from a point, &c. PROPOSITION X. THEOREM. The angles **at the base of an isosceles triangle are equal to one another.** Let ABC be an isosceles triangle, of which the side AB is equal to AC ; then will the angle B be equal... | |
| Thomas Stantial - Examinations - 1859 - 352 pages
...four right angles. B. The three angles of every triangle are equal to two right angles. C. The angles **at the base of an isosceles triangle are equal to one another.** D. Construct a parallelogram equal to a given rectilineal figure, with an angle equal to a given angle.... | |
| Royal college of surgeons of England - 1860 - 332 pages
...angle, and a rhomboid. Explain the terms axiom, problem, hypothesis, reductio ad absurdum. 2. The angles **at the base of an isosceles triangle are equal to one another ; and if the equal sides** be produced, the angles on the other side of the base shall be equal. 3. If two straight lines cut... | |
| Euclides - 1860 - 288 pages
...coincide, and therefore the angle GBC is equal to the angle HEF. PROPOSITION V. THEOREM. The angles **at the base of an isosceles triangle are equal to one another ; and if the equal sides** be produced, the angles upon the other side of the base shall also be equal. Given, ABC an isosceles... | |
| War office - 1861 - 714 pages
...income tax on his income has 1632/. 18s. lOrf. remaining ; what had he at first ? Euclid. 1. The angles **at the base of an isosceles triangle are equal to one another; and if the equal sides** be produced, the angles upon the other side of the base shall be equal. 2. The straight lines which... | |
| Euclides - 1862 - 140 pages
...two triangles have, &c. (see Enunciation). Which was to be shown. PROPOSITION 5. -THEOREM. The angles **at the base of an isosceles triangle are equal to one another; and if the equal sides** be produced, the angles upon the other side of the base shall also be equal. (References — Prop.... | |
| Euclides - 1863 - 122 pages
...to (C'«;;s.'.) PnOP. V. (THEonEM.)—Tbe angles (ABC, ACB) at the baseofan isoscele triangle (ARC) **are equal to one another; and if the equal sides (AB, AC) be produced (to D and E), the angles** (DBC, BCB) upon the vti,er side of the base thall be equal. In BD take any point F, and from AE the... | |
| University of Oxford - Education, Higher - 1863 - 316 pages
...right angles. 3. Describe a square that shall be equal to a given rectilineal figure. 4. The angles **at the base of an isosceles triangle are equal to one another; and if the equal sides** be produced, the angles on the other side of the base shall be equal to one another. 5. Construct a... | |
| Euclides - 1865 - 402 pages
...angles are equal . . . . . . I. 15. . B. Relating to the Sidet and Angles of Triangles. 1. The angles **at the base of an isosceles triangle are equal to one another ; and if the equal sides** be prodnced, the angles on the other side of the base are equal . . . . , . I. 5. 2. Conversely, if... | |
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