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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 ... - Side 19
av Robert Simson - 1806 - 518 sider
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Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ...

Dennis M'Curdy - 1846 - 138 sider
...taken is a portion of space, to which each of the triangles is applied. 5 Th. The angles (ABC, ACB), at the base of an isosceles triangle, are equal to one another ; and if the equal sides (AB, AC,) be produced (to D and E), the angles (BCE, CBD,) below the base (BC^ shall be equal. Constr....
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846
...&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
...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 First Book of Euclid's Elements, Simplified, Explained, and Illustrated ...

Euclides - 1847
...Perspective. PROP. V. THEOR. GEN. ENUN. — The angles at the base of an isosceles triangle are equal; and if the equal sides be produced, the angles upon the other side of the base shall be equal. PART. ENUN. — Let ABC be an isosc. A, of which the side AB = side AC (Def. 24) ; and let the st....
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The Yale Literary Magazine, Volum 12

1847
...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
...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 are equal to...angles upon the other side of the base shall be equal. COR. Hence every equilateral triangle is also equiangular. PROP. VI. THEOREM. If two angles of a triangle...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 108 sider
...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...Let ABC be an Isosceles triangle, of which the side ,48 is equal to AC, and let the straight lines AB, AC be produced to D and E, the angle ABC shall be...
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Elements of Geometry and Conic Sections

Elias Loomis - 1849 - 226 sider
...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

1852
...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...another ; and 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...
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The First Two Books of the Elements of Euclid ... with Additional Figures ...

Euclides - 1852
...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...be an Isosceles triangle, of which the side AB is equal to AC, and let the straight lines AB, AC be produced to D and E, B, the angle ABC shall be equal...
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