# Euclid's Elements of Geometry

Bell & Daldy, 1872 - Geometry - 261 pages
1 Review
Reviews aren't verified, but Google checks for and removes fake content when it's identified

### What people are saying -Write a review

We haven't found any reviews in the usual places.

### Contents

 Definitions of Algebra 40 Subtraction of Algebra 61 Multiplication of Algebra 97 Division 103 Fractions 111 7 118 Involution 120
 Extraction of Roots 129 Numerical Proof of Euclids Second Book 140 Fifth Book 161 Sixth Book 193 Trigonometry 227 Appendix 239

### Popular passages

Page 16 - If two triangles have two sides of the one equal to two sides of the...
Page 26 - DE : but equal triangles on the same base and on the same side of it, are between the same parallels ; (i.
Page 205 - ... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional.
Page 214 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Page 125 - In any proportion, the product of the means is equal to the product of the extremes.
Page 159 - Magnitudes are said to be in the same ratio, the first to the second and the third to the fourth, when, if any equimultiples whatever be taken of the first and third, and any equimultiples whatever of the second and fourth, the former equimultiples alike exceed, are alike equal to, or alike fall short of, the latter equimultiples respectively taken in corresponding order.
Page 110 - To reduce fractions of different denominators to equivalent fractions having a common denominator. RULE.! Multiply each numerator into all the denominators except its own for a new numerator, and all the denominators together for a common denominator.
Page 211 - ... are to one another in the duplicate ratio of their homologous sides.
Page 161 - Convertendo ; when it is .concluded, that if there be four magnitudes proportional, the first is to the sum or difference of the first and second, as the third is to the sum or difference of the third and fourth.
Page 86 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.