 | Euclides - 1853 - 146 pages
...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...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 lines AB, AC,... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...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 - Geometry - 1853 - 336 pages
...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 - Geometry - 1854 - 520 pages
...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 - Geometry - 1855 - 334 pages
...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 pages
...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 pages
...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 pages
...BD Sidney College. EUCLID. WEDNESDAY, January 14, 1857. 9 to 12. FIKST DIVISION (A.) 1. THE angles at the base of an isosceles triangle are equal to...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... | |
 | Henry Latham - 1857 - 390 pages
...What instruments are alone permitted to be used in the constructions of Euclid, and why? The angles at the base of an isosceles triangle are equal to one another. 2. The opposite sides and angles of parallelograms are equal to one another. If through the opposite... | |
 | Euclides - 1858 - 248 pages
...in a st. line. DEMONSTRATION. — P. 5. The angles at the base of an isosceles triangle are equal, and if the equal sides be produced, the angles upon the other side of the base are equal. Ax. 9. The whole is greater than its part. EXP. SUP. 1 Hyp. 1. „ 2. On AB let there be... | |
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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. 
