 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
 | Robert Potts - 1855 - 1050 pages
...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, a right angle,... | |
 | Euclides - 1855 - 270 pages
...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 ABC be an isosceles triangle, of which the side AB is equal to the side AC. And let the... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...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 angle of an isosceles... | |
 | 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... | |
 | Elias Loomis - Conic sections - 1858 - 256 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. For, conceive the angle BAC to be bisected... | |
 | Euclides - 1860 - 288 pages
...and therefore the angle GBC is equal to the angle HEF. PROPOSITION V. THEOREM. The angles at the base of an isosceles triangle are equal to one another...upon the other side of the base shall also be equal. Given, ABC an isosceles triangle, of which the side AB is equal to AC, and let the straight lines AB... | |
 | Royal college of surgeons of England - 1860 - 332 pages
...rhomboid. Explain the terms axiom, problem, hypothesis, reductio ad absurdum. 2. 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. 3. If two straight lines cut one another, the angles... | |
 | War office - 1861 - 714 pages
...his income has 1632/. 18s. lOrf. remaining ; what had he at first ? Euclid. 1. 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. 2. The straight lines which join the extremities of two equal and parallel straight lines... | |
 | Euclides - 1862 - 140 pages
...have, &c. (see Enunciation). Which was to be shown. PROPOSITION 5. -THEOREM. The angles at the base of an isosceles triangle are equal to one another;...upon the other side of the base shall also be equal. (References — Prop. I. 3, 4; ax. 3.) Hypothesis. — 1. Let ABC be an isosceles triangle, of which... | |
 | Euclides - 1862 - 172 pages
...two sides of the one equal to two sides of the other, &c. PROP. V.— THEOREM. The angles at the base of an isosceles triangle are equal to one another...equal sides be produced, the angles upon the other fide of the base shall be equal. (References — Prop. l. 3, 4 ; ax. 3.) Let ABC be an isosceles triangle,... | |
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