 | 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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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. 
