 | Euclides - 1858 - 248 σελίδες
...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 - 578 σελίδες
...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 - 256 σελίδες
...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 - 414 σελίδες
...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 - 352 σελίδες
...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 σελίδες
...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 - 288 σελίδες
...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 - 380 σελίδες
...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 - 714 σελίδες
...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 - 140 σελίδες
...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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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. 
