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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. "
Papers Read at the Royal Institute of British Architects - Pagina 2
1865
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pagine
...Wherefore, If two triangles &c. QED PROP. V. THEOR. The angles at the base of an isosceles triangle an equal to one another ; and, if the equal sides be produced, the angles upon the other side of the base shall be equal. Let ABC be an isosceles triangle, of which the side...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 pagine
...&c. COR.—Hence every equilateral equiangular. PROP. V. THEOR. OTHERWISE DEMONSTRATED. The angles at the base of an isosceles triangle are equal to one another. Let ABC be an isosc. /£\, having the side AB = side AC; then will L ABC = L ACB. Let the str. line...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 pagine
...COR.—Hence every equilateral ^±» is also equiangular. PROP. V. THEOR. OTHERWISE DEMONSTRATED. The angles at the base of an isosceles triangle are equal to one another. Let ABC be an isosc. Z\, having the side AB = side AC; then will L ABC = L ACB. A Let the str. line...
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The Yale Literary Magazine, Volume 12

1847 - 486 pagine
...each of them is called a straight line." Now this is true enough ; and so is it true that " the angles at the base of an isosceles triangle are equal to one another ;" but the latter he thinks worthy of a labored demonstration. Many a poor wight would have thanked...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pagine
...other angles shall be equal, each to each, viz. those to which the equal sides are opposite. PROP. V. THEOREM. The angles at the base of an isosceles triangle...another : and if the equal sides be produced, the angles upon the other side of the base shall be equal. COR. Hence every equilateral triangle is also equiangular....
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pagine
...are opposite shall be equal, each to each. Which was to be demonstrated. PROP. V. THEOR. The angles at the base of an Isosceles triangle are equal to...another; and, if the equal sides be produced, the angles upon the other side of the base shall be equal. Let ABC be an Isosceles triangle, of which the side...
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Elements of Geometry and Conic Sections

Elias Loomis - 1849 - 252 pagine
...EC ; much more, then, are BA, AC greater than BD, DC. Therefore, if from a point, &c. PROPOSITION X. THEOREM. The angles at the base of an isosceles triangle are equal to one another. Let ABC be an isosceles triangle, of which the side AB is equal to AC; then will the angle B be equal...
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Papers for the Schoolmaster, Volume 2

1852 - 316 pagine
...though made for time, survives for aye, And, though it hath beginning, sees no end." . III. The angles at the base of an isosceles triangle are equal to...if the equal sides be produced, the angles on the other side of the base are also equal. IV. In any right-angled triangle the square of the side subtending...
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An elementary course of practical mathematics, Parte 2

James Elliot - 1851 - 152 pagine
...right-angled triangle having one of its sides 2 inches, and the angle opposite of 35°. PROPOSITION XXXVUI. THEOREM. The Angles at the Base of an Isosceles Triangle are equal. Let ABC be an isosceles triangle, having the sides BA, BC, equal : then the angles A and C are also...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pagine
...unless it be possible for two straight lines to enclose a space.] c 2 BOOK I. PEOP. V. THEOR. The angles at the base of an Isosceles triangle are equal to...another ; and if the equal sides be produced, the angles upon the other side of the base shall be equal. Let ABC be an Isosceles triangle, of which the side...
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