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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. "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Page 15
by Robert Simson - 1806 - 518 pages
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Annual Report

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...
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Eminent Women of the Age: Being Narratives of the Lives and Deeds of the ...

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,...
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Elements of geometry, containing the first two (third and fourth ..., Part 1

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...
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The Edinburgh university calendar

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...
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The Elements of Plane and Solid Geometry

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...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

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...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

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...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

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,...
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The Principles of psychology, Volume 2

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...
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The Principles of Psychology, Volume 2

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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