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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. "
First principles of Euclid: an introduction to the study of the first book ... - Σελίδα 88
των T S. Taylor - 1880
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 σελίδες
...&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...

The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 σελίδες
...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...

The Yale Literary Magazine, Τόμος 12

1847 - 486 σελίδες
...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...

The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 σελίδες
...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...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....

The English Journal of Education, Τόμος 2

1848 - 542 σελίδες
...Geometry," &c. page 21. 3. The angles at the base of an isosceles triangle are equal to each other, and if the equal sides be produced, the angles on the other side of the base shall be equal. — See " Bell's Euclid," prop. v. book i. ; or " Tate's Geometry," &c. arts. 18 and 27SECTION 2. 1....

Report of the Committee of Council on Education (England and Wales ..., Τεύχος 1

Great Britain. Council on Education - 1848 - 532 σελίδες
...superficies, and a circle. 3. The angles at the base of an isosceles triangle are equal to each other, and if the equal sides be produced the angles on the other side of the base shall be equal. Section 2. 1. Prove that the sum of the three angles of a triangle equals two right angles. Given the...

Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848 - 390 σελίδες
...from a given point in it. 3. The angles at the base of an isosceles triangle are equal to each other, and if the equal sides be produced the angles on the other side of the base shall be equal. SECTION II. 1. Prove that the sum of the three angles of a triangle equals two right angles. Given...

Minutes of the Committee of Council on Education: with Appendices, Τόμος 1

Great Britain. Committee on Education - 1848 - 514 σελίδες
...point within it. 3. The angles at the base of an isosceles triangle are equal to each other, and if tho equal sides be produced the angles on the other side of the base shall be equal. Section 2. 1. Prove that the sum of the three angles of a triangle equals two right angles. Given the...

The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 σελίδες
...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...

Elements of Geometry and Conic Sections

Elias Loomis - 1849 - 252 σελίδες
...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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