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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. "
Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Seite 9
von Robert Potts - 1868 - 410 Seiten
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Euclidian Geometry

Francis Cuthbertson - 1874 - 400 Seiten
...two of its sides equal. PROPOSITION II. The angles at the base of an isosceles triangle are equal; and if the equal sides be produced, the angles on...of the base shall be equal. Let ABC be an isosceles A , having the side AB = the side AC, then shall the i ABC be = the ^ A CB; also let the equal sides...
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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 Seiten
...PROPOSITION 5. THEOREM. The angles at the base of an isosceles triangle are equal to one another ; and if the equal sides be produced the angles on the other side of the base shall be equal to one another. * Let ABC be an isosceles triangle, having the ' • side AB equal to the side AC,...
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Elements of Euclid Adapted to Modern Methods in Geometry

Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 Seiten
...DF were produced. PROP. V. — THEOREM. The angles at the base of an isosceles triangle are equal, and if the equal sides be produced, the angles on the other side of the base are also equal. Let ABC be an isosceles triangle, having the side AB equal to the side AC; it is required...
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Pure mathematics, Band 1

Edward Atkins - 1874 - 428 Seiten
...another ; and if the equal sides be produced, tlie angles upon the other side of the base shall also be equal. Let ABC be an isosceles triangle, of which the side AB is AB = AC. equal to the side AC. Let the straight lines AB, AC (the equal sides of the triangle), be...
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Annual Register of the United States Naval Academy, Annapolis, Md, Bände 25-32

United States Naval Academy - 1874 - 888 Seiten
...and a half. 1. Prove that the angles at the base of an isosceles triangle are equal, and that if p equal sides be produced the angles on the other side of the base will be equal. В С is an isosceles triangle, В С the base ; if the angles ARC and AC В be bisected...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 Seiten
...if the equal sides ba produced, the anglei on the other tide of the ha;., thall be equal. Let ABCtte an isosceles triangle of which the side AB is equal to AC, and let the equal sides AB, AC be produced to D and E. Then the angle -dUCshall be equal to the angle ACB, and the angle DBCto...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 Seiten
...weeks. 1. Hypothesis — the two sides are eqnal. Conclusion — The angles at the base are equal, and, if the equal sides be produced, the angles on the other side of the base are also equal. 2. Euc. 1. 14. 3. Euc. I. 24. ANSWERS.— THIRD TEAR,—!. £132 Is. 8d. 2. 33i per...
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Examination Christmas,1875

Education Department,London - 1876 - 1010 Seiten
...postulate and an axiom. 2. The angles at the base of an isosceles triangle are equal to one another; and if the equal sides be produced the angles on the other side of the base will be equal to one another. Show that the segments of BG, CF, in Euclid's figure, are equal, each...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 Seiten
...another ; and if the equal sides be produced, the angles upon the other side of the base shall also be equal. Let ABC be an isosceles triangle, of which the side AB is AB = AC. equal to the side AC. Let the straight lines AB, AC (the equal sides of the triangle), be...
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Euclid, book i., propositions i. to xxvi., with exercises and alternative ...

Euclides - 1877 - 58 Seiten
...proof of this proposition.] The angles at the base of an isosceles triangle are equal to each other; and if the equal sides be produced, the angles on...base shall be equal. Let ABC be an isosceles triangle in which the side AB is equal to the side AC, and let the sides AB, AC be produced to D and E ; then...
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