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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: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 σελίδες
...are opposite shall be equal, each to each. Which was to be demonstrated. PROP. V. T1IEOR. 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,...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1813
...each, viz. those to which the equal sides are opposite. Prop. V. Theor. The angles at the base of ло 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. •Prop. VI. Tbeor. If two...

A Treatise on Surveying, Containing the Theory and Practice: To which is ...

John Gummere - 1814 - 346 σελίδες
...the acute angles be subtracted from 90% the remainder will be the other acute angle. r 8. The angles at the base of an isosceles triangle are equal to one another. 9. If one side of a triangle be produced, the external angle will be equal to the sum of the two internal...

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

John Playfair - 1819 - 333 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 also be equal. Let ABC be an isosceles...

Universal Technological Dictionary: Or, Familiar Explanations of ..., Τόμος 2

George Crabb - 1823
...or legs equal. According to the fifth proposition of the first book of Euclid's elements, the angles at the base of an isosceles triangle are equal to one another. ISOSTE'MONES (Bot.) a name given by Haller to one of his classes of plants. [SO'TONl (Med.) an epithet...

A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 σελίδες
...opposite shall be equal, each to each. Which was to be demonstrated. Proposition. V. Theorem. 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 iide of the base shall be equal. Let ABC be an Isosceles triangle,...

The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 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 f f1e equal sides be produced, the angles upon the otber side of the base shall be equal. Let ABC be...

The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834
...each to each. Which was to be demonstrated. PROPOSITION V. Wtft A ivMJUu. ftT THEOR. — The angles at the base of an isosceles triangle are equal to one another ; and if the equal tides be produced, the angles upon the other side of the base shall be equal, t* D and E : the angle...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 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 - 1835 - 316 σελίδες
...three are equal also ; that is, AB=DE, AC = DF, and the angle BAC= DEF. PROP. III. THEOR. The angles at the base of an isosceles triangle are equal to one another : namely, those to which the equal sides are opposite. If the triangle ABC have the side AC equal to...




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