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" Euclid's, and show by construction that its truth was known to us ; to demonstrate, for example, that the angles at the base of an isosceles triangle are equal... "
Recreations of a Recluse - Page 81
de Francis Jacox - 1870
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Elements of Plane and Spherical Trigonometry ...

James Thomson - 1844 - 146 pages
...From formulas (85) and (86), or those derived from them, it is easy to show, that B=A, when 6= a, or that the angles at the base of an isosceles triangle are equal; as, by taking a and b equal, the values of cos A and cos B would become equal. FORMULAS OF THE FOUR...
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The works of Thomas Reid, with selections from his unpublished letters ...

Thomas Reid - 1846 - 1080 pages
...immediately; and that three is the half of six. This immediate perception is immediate and intuitive judgment. That the angles at the base of an isosceles triangle are equal, I perceive by a process of reasoning, in which it will be acknowledged there is judgment. Another way...
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Michigan Homoeopathic Journal: John Ellis, M.D.; J.I ..., Volume 2,Numéros 1 à 7

1852 - 372 pages
...is a fact which all future geometrical analysis can only confirm and illustrate, and thus the truth that " The angles at the base of an Isosceles triangle are equal " becomes a fundamental part of celestial dynamics, and the Eureka of Archimedes an essential portion...
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Essays on the Intellectual Powers of Man

Thomas Reid - 1850 - 496 pages
...; and that three is the half of six. This immediate perception is immediate and intuitive judgment. That the angles at the base of an isosceles triangle are equal, I perceive by a process of reasoning, in which it will be acknowledged there is judgment. Another way...
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Theological Institutes: Or, A View of the Evidences, Doctrines ..., Volume 2

Richard Watson - 1850 - 702 pages
...without stating what it is fit for, — an absurdity as great, says the objector, as it would be to say that ' the angles at the base of an isosceles triangle are equal without adding to one another, or to any other angle.' Dr. Brown also, in arguing against this doctrine...
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Poems, Volume 1

Hartley Coleridge - 1851 - 426 pages
...the good. Though your brother's genius was all but catholic — I say all but ; for he could never demonstrate that the angles at the base of an isosceles triangle are equal — yet to me he generally showed the bright and sunny side of his nature ; and I need not tell you...
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The London, Edinburgh and Dublin Philosophical Magazine and Journal of Science

1851 - 1248 pages
...shown that there is only one intelligible law, then that must be the actual law. Thus we may argue that the angles at the base of an isosceles triangle are equal (not because there is no reason why one should be greater than the other, but), because, if not, no...
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The Scientific relations of homeopathy

H. L. Smith - 1851 - 36 pages
...is a fact which all future geometrical analysis can only confirm and illustrate, and thus the truth that " The angles at the base of an Isosceles triangle are equal " becomes a fundamental part of celestial dynamics, and the Eureka of Archimedes an essential portion...
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The Theory of Reasoning

Samuel Bailey - 1851 - 256 pages
...propositions, are subsequently employed as major premises. Such, for example, are the propositions that the angles at the base of an isosceles triangle are equal ; that the three angles of every triangle are together equal to two right angles ; and that all equilateral...
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General Report on Public Instruction in the Bengal Presidency

1852 - 478 pages
...sum of the angles of a spherical triangle is greater than tno right angles, and less than six. Show that the angles at the base of an isosceles triangle are equal. 9. Express the cosine of an angle of a spherical triangle in terms of the cosines and sines of the...
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