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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 ... - Σελίδα 9
των Robert Potts - 1868 - 410 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Report to the Trustees of the Dick Bequest for the Benefit of the ..., Τόμος 2

1844 - 456 σελίδες
...them. 1842. GEOMETRY. 1. 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 are equal. 2. Give different methods of drawing a straight line at right angles to another ; and explain...

Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 σελίδες
...demonstrated. PROPOSITION V. THEOREM. The angles at the base of an isosceles triangle are equal to each other; and if the equal sides be produced, the angles on...equal. Let ABC be an isosceles triangle of which the sideAB is equal to AC, and let the equal sides AB, AC be produced to D and E. Then the angle ABC shall...

Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 218 σελίδες
...an isoscelet 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. Let ABC...triangle, of which the side AB is equal to AC, and let the straight lines AB, AC be produced to D and E, the angle ABC shall be equal to the angle ACB, and the...

The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 382 σελίδες
...another ; and, if the equal sides he produced, the angles upon the other side of the base are also equal.* Let ABC be an isosceles triangle, of which the side AB is equal to AC, and let the sides AB, AC be produced to D and E ; the angle ABC is equal to the angle ACB, and the angle CBD to...

The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 σελίδες
...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...triangle, of which the side AB is equal to AC, and let the straight lines AB, AC' be produced to D and E : the angle ABC shall be equal to the angle ACB, and...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 334 σελίδες
...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. Let ABC...triangle, of which the side AB is equal to AC, and let the straight lines AB, AC be produced to D and E, the angle ABC shall be equal to the angle ACB, and 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...

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...

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...




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