| Euclides - 1858
...equal, and its angles rt. angles. 5. I. The angles at the base of an isosceles triangle are equal, **and if the equal sides be produced, the 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... | |
| War office - 1858 - 12 Seiten
...isosceles triangle : prove that the angles at the base of an isosceles triangle are equal to each other, **and if the equal sides be produced, the angles on the other side of the base** will be equal. Enunciate the proposition in Euclid's First Book, in the proof of which, the property,... | |
| Elias Loomis - 1858 - 234 Seiten
...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... | |
| 1859
...trapezium, and parallel straight lines. 2. The angles at the base of an isosceles triangle are equal, **and if the equal sides be produced the angles on the other side of the base shall be equal.** 186 (II.)— SCSS. 2. GG3 3. Any JL 3. Any two sides of a triangle are together greater than the third... | |
| Thomas Stantial - 1859
...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
...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...angles on the other side of the base shall be equal.** 3. If two straight lines cut one another, the angles which they make at the point where they cut, are... | |
| Euclides - 1860
...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...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 triangle, of which the... | |
| Robert Potts - 1860 - 361 Seiten
...demonstrated. PROPOSITION V. THEOREM. The angles at the base of an isosceles triangle are equal to each other; **and if the equal sides be produced, the angles on the other side of the base shall be equal.** an isosceles triangle of which the side AB is equal to AC, and let the equal sides AB, AC be produced... | |
| War office - 1861 - 12 Seiten
...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...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 join the extremities of... | |
| Euclides - 1862
...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...another; and if the equal sides be produced, the angles** upon the other side of the base shall also be equal. (References — Prop. I. 3, 4; ax. 3.) Hypothesis.... | |
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