...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...

...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,...

...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...

...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...

...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...

...&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...

...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...

...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,...

...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...

...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...