| 1868
...when and where will he overtake A 25 EUCLID— BOOKS I. AND II. THIRD DIVISION. Values. \. The angles **at the base of an isosceles triangle are equal to one another ; and, if the equal** aide produced, the angles upon (he other side of the base shall be equtil 15 2. The greater side of... | |
| James Parton - Electronic book - 1869 - 618 pages
...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
...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...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 ACB, and L DBC= L ECB. In BD take... | |
| Edinburgh univ - 1871
...gain per cent. ? ELEMENTS OF MATHEMATICS AND ALGEBRA. Wednesday, 1<)th Of taber 1870. 1. The angles **at the base of an isosceles triangle are equal to...produced, the angles upon the other side of the base shall** also be equal. 2. In comparing two triangles, what things must be equal, in order that the triangles... | |
| Henry William Watson - Geometry - 1871 - 285 pages
...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... | |
| Elias Loomis - Geometry - 1871 - 58 pages
...&c. PROPOSITION X. THEOREM. The angles at the base of an isosceles triangle arc equal to anc 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... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 349 pages
...I. give good examples of symmetrical constructions. NOTE XL Euclid's Prop. V. of Book I. The angles **at the base of an isosceles triangle are equal to...of the base shall be equal. Let ABC be an isosceles** A, having AB = AC. Produce AB, AC to D and E. Tlwn must L ABC= L ACB, and L DBC= L ECB. In BD take... | |
| Henry Major - Student teachers - 1873
...remaining angles of the other, and be equal to them, viz., ABC to DEF, and ACB to DFE. V. — The angles **at the 'base of an isosceles triangle are equal to...equal. Let ABC be an isosceles triangle, of which** AB is • qual to AC, and let AB, AC, be produced to D and E, the angle ABC shall be equal to ACB,... | |
| Herbert Spencer - 1873
...the abstract terms are forthwith abandoned, and the proposition is re-stated in a concrete form. " **Let ABC be an isosceles triangle, of which the side AB is** equal to the side AC ; then the angle ABC shall be equal to the angle AC B." By a series of steps which... | |
| Herbert Spencer - Psychology - 1873
...the abstract terms are forthwith abandoned, and the proposition is re-stated in a concrete form. " **Let ABC be an isosceles triangle, of which the side AB is** equal to the side AC; then the angle ABC shall be equal to the angle AC B." By a series of steps which... | |
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