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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: Or, Second Lessons in Geometry,in the Order of Simson's ... - Σελίδα 12
των Dennis M'Curdy - 1846 - 138 σελίδες
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 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 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,...

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

John Playfair - 1842 - 332 σελίδες
...angles, to which the equal sides are opposite, shall be equal, each to each. PROP. V. THEOR. The angles at the base of an Isosceles triangle are equal to one another ; and if the equal sides be produced, tfte angles upon the other side of the base shall be equal. Let ABC be an isosceles triangle,...

Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 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 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,...

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

1844 - 456 σελίδες
...same plane with it, are observed ; to find the distance between 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...

The British Annals of Education for ...: Being The Scholastic ..., Τόμοι 1-2

1844 - 688 σελίδες
...circle and the centre of a circle. What do you understand by an angle in a segment ? 2. The angles at the base of an isosceles triangle are equal to one another ; and if tbe equal sides be produced, the angles upon the other side of the base shall be equal. 3. If from...

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

Euclid, James Thomson - 1845 - 382 σελίδες
...the angles formed hy producing AC and DF through (J and F are equal. PROP. V. THEOR. — The angles at the base of an isosceles triangle are equal to one 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,...

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

Euclid, John Playfair - 1846 - 334 σελίδες
...angles, to which the equal sides are opposite, shall be equal, each to each. PROP. V. THEOR. 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. Let ABC be an isosceles triangle,...

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...




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