 | Euclides - 1865 - 402 pàgines
...or opposite 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 two... | |
 | William Harris Johnston - 1865 - 478 pàgines
...Tho proof of thle method depends on Euclid, Book I.. Prop. 5, in which it is shown that the angles at the base of an isosceles triangle are equal to one another (in the present instance, the angle то С D, and the angle m D С that would be formed by drawing... | |
 | John Playfair - 1855 - 350 pàgines
...which the equal •ides are opposite, shall be equal, each to each. /• PROP. V. THEOR. ./ The angles at the base of an Isosceles triangle are equal to...be produced, the angles upon the other side of the bast shall be equal. Let ABC be an isosceles triangle, of which the side AB is equal to AC and let... | |
 | Euclid, Isaac Todhunter - 1867 - 424 pàgines
...ACB to the angle DFE. Wherefore, if two triangles &c. QED r"-' PROPOSITION 5. THEOREM. Ttie~angles at the base of an isosceles triangle are equal to...another; and if the equal sides be produced the angles on the other side of the base shall be equal to one another. Let ABC be an isosceles triangle, having... | |
 | Euclid, Isaac Todhunter - 1867 - 426 pàgines
...angle ACB to the angle DFE. Wherefore, if two triangles &c. QED PROPOSITION 5. THEOREM. TJie angles at the base of an isosceles triangle are equal to...another ; and if the equal sides be produced the angles on the other side of the base shall be equal to one another. Let ABC be an isosceles triangle, having... | |
 | James Et Al Parton - 1868 - 656 pàgines
...Proposition not only inwardly, but as an outward application; so that it might have read thus : " The angles at the base of an isosceles triangle are equal to one another; and if the equal sides be produced in curl papers, the angles on the other side of the os frontis are also equal." But in the laughing,... | |
 | 1868 - 876 pàgines
...four years finds himself £220 in debt. What was their income? 20 100 GEOMETRY. SRD DIVISION. Value*. 1. The angles at the base of an isosceles triangle are equal to each other ; and if the equal sides be produced the angles ou the other side of this base shall be... | |
 | James Parton - 1869 - 702 pàgines
...Proposition not only inwardly, but as an outward application ; so that it might have read thus : " The angles at the base of an isosceles triangle are equal to one another ; and if the equal sides be produced in curl papers, the angles on the other side of the os frontis are also equal." But in the laughing,... | |
 | Euclides - 1871 - 136 pàgines
...I. give good examples of symmetrical constructions. NOTE XI. Euclid-s Prop. V. of Book I. The angles at the base of an isosceles triangle are equal to...produced, the angles upon the other side of the base shall be equal. Let ABC be an isosceles A, having AB = AC. Produce AB, AC to D and E. Then must L ABC= L... | |
 | Henry William Watson - 1871 - 320 pàgines
...with the angle DEF, and therefore the angle ABC must be equal to the angle ACB, therefore the angles at the base of an isosceles triangle are equal to one another. Corollary 2. — If two triangles can be transferred so that their angles coincide each with each they... | |
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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. 
