 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, of which the side AB is equal to AC, and let the...  Elements of geometry, based on Euclid, books i-iii - Page 13by Edward Atkins - 1876 - 119 pagesFull view - About this book
 | Euclides - 1847 - 128 pages
...Perspective. PROP. V. THEOR. GEN. ENUN. — 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 shall be equal. PART. ENUN. — Let ABC be an isosc. A, of which the side AB = side AC (Def. 24) ; and let... | |
 | Euclides - 1848 - 52 pages
...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...produced, the angles upon the other side of the base shall be equal. COR. Hence every equilateral triangle is also equiangular. PROP. VI. THEOREM. If two angles... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...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;...produced, the angles upon the other side of the base shall be equal. Let ABC be an Isosceles triangle, of which the side ,48 is equal to AC, and let the straight... | |
 | Elias Loomis - Conic sections - 1849 - 252 pages
...&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 to the angle C. Cor. 1. Hence, also, the line BD-is equal... | |
 | 1852 - 316 pages
...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 the square of the side... | |
 | Euclides - 1852 - 152 pages
...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...produced, the angles upon the other side of the base shall be equal. Let ABC be an Isosceles triangle, of which the side AB is equal to AC, and let the straight... | |
 | 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...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 - Mathematics - 1853 - 400 pages
...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, 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... | |
 | John Playfair - Geometry - 1855 - 334 pages
...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;...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... | |
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