 | Charles Astor Bristed - 1852 - 470 pàgines
...Fellowships. FRESHMAN EXAMINATION. EUCLID. Trinity College, June, 1841. [Four hours allotted to each paper.) 1. THE angles at the base of an isosceles triangle are equal. 2. Prove the same, assuming that any angle can be bisected, and show why problems are intermixed with... | |
 | Euclides - 1853 - 146 pàgines
...Which was to be demonstrated. M PROP. V. — THEOREM. The angles at the base of an isosceles Mangle are equal to one another ; and if the equal sides...produced, the angles upon the other side of the base shall be equal. Let ABCbe an isosceles triangle, of which the side AB is equal to AC, and let the straight... | |
 | Royal Military Academy, Woolwich - 1853 - 400 pàgines
...opposite shall be equal, each to each. Which was to be demonstrated. PROPOSITION V. THEOR. The angles at the base of an isosceles triangle are equal to...another ; and if the equal sides be produced, the angle* upon the other side of the base shall be equal. Let ABC be an isosceles triangle, of which the... | |
 | Euclid, John Playfair - 1853 - 336 pàgines
...each. • PROP. V. THEOR. The angles at the bat of an Isosceles tri"n«!,c are equal to one anothe ; if the equal sides be produced, the angles upon the other side a ~ shall be equal. Let ABC be an isosceles triangle, of which tne side AB is eqfi and let the straight... | |
 | Thomas Lund - 1854 - 520 pàgines
...assumption, and the previous assumption is made the conclusion. Thus to the proposition " The angles at the base of an isosceles triangle are equal to one another" the converse would be "Shew that, if the angles at the base of a triangle are equal to one another,... | |
 | John Playfair - 1855 - 334 pàgines
...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...if the equal sides be produced, the angles upon the oiher side of the base shall be equal. In BD take any point F, and from AE the greater cut off AG equal... | |
 | Robert Potts - 1855 - 1050 pàgines
...whose fate we have now to record. MACKINTOSH. V.—EUCLID AND GEOMETRICAL CONIC SECTIONS. 2. The angles at the base of an isosceles triangle are equal to...another; and, if the equal sides be produced, the angle* on the other side of the base shall also be equal. - 1. Define a right line, a right angle,... | |
 | Euclides - 1855 - 270 pàgines
...equal to one side of the other, the squares are equal in all respects. PROP. V. THEOREM. The angles at the base of an isosceles triangle are equal to one another: arid if the equal sides be produced, the angles upon the other side of the base shall be equal. Let... | |
 | Cambridge univ, exam. papers - 1856 - 252 pàgines
...JAMES RICHARDS, BD Sidney College. EUCLID. WEDNESDAY, January 14, 1857. 9 to 12. FIKST DIVISION (A.) 1. THE angles at the base of an isosceles triangle...another, and if the equal sides be produced the angles on the other side of the base shall be equal. The line which bisects the vertical angle of an isosceles... | |
 | W F. Richards - 1856 - 198 pàgines
...hours sooner. What was the speed of each ? EUCLID. (Three Hours allowed for this Paper.) Section I. — 1 . The angles at the base of an isosceles triangle are equal, and if the equal sides be produced, the angles at the other side of the base are equal. 2. Parallelograms... | |
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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. 
