 | Euclides - 1848 - 52 pages
...equal, each to each, viz. those to which the equal sides are opposite. PROP. 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 side of the base shall be equal. COR. Hence every equilateral... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...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,... | |
 | Elias Loomis - Conic sections - 1849 - 252 pages
...are BA, AC greater than BD, DC. Therefore, if from a point, &c. PROPOSITION X. THEOREM. The angles at the base of an isosceles triangle are equal to one another. Let ABC be an isosceles triangle, of which the side AB is equal to AC; then will the angle B be equal... | |
 | 1852 - 316 pages
...though made for time, survives for aye, And, though it hath beginning, sees no end." . III. 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 also equal. IV. In any right-angled triangle... | |
 | Euclides - 1852 - 152 pages
...unless it be possible for two straight lines to enclose a space.] c 2 BOOK I. PEOP. 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,... | |
 | 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 one 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,... | |
 | 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,... | |
 | 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 one 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,... | |
 | 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 one 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... | |
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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. 
