 | Euclides - 1858 - 248 Seiten
...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 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 - 256 Seiten
...&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 to the angle C. For, conceive the angle BAC to be bisected by the... | |
 | 1859 - 414 Seiten
...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... | |
 | Royal college of surgeons of England - 1860 - 332 Seiten
...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 one another, the angles which they make at the point where they cut, are... | |
 | Robert Potts - 1860 - 380 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... | |
 | Euclides - 1860 - 288 Seiten
...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 side AB is equal to AC, and let the straight lines AB and AC be produced to D and E, to prove that the angle ABC shall be equal to the... | |
 | War office - 1861 - 714 Seiten
...of 2Z. 12s. Qd. Euclid. 1. 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. State Euclid's corollary to this proposition. 2. If a straight line be divided into any two parts,... | |
 | Euclides - 1862 - 172 Seiten
...the angles upon the other fide of the base shall be equal. (References — Prop. l. 3, 4 ; ax. 3.) Let ABC be an isosceles triangle, of which the side AB is equal to AC, and let the straight lines AB, AC, be produced to D and E. Then the angle ABC shall be equal to the angle ACB,... | |
 | Euclides - 1862 - 140 Seiten
...other side of the base shall also be equal. (References — Prop. I. 3, 4; ax. 3.) Hypothesis. — 1. Let ABC be an isosceles triangle, of which the side AB is equal to the side AC. 2. Let the straight lines AB, AC (the equal tides of the triangle'), be produced to D... | |
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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. 
