Euclid's Elements of geometry, the first three books (the fourth, fifth, and sixth books) tr. from the Lat. To which is added, A compendium of algebra (A compendium of trigonometry).1846 |
Inni boken
Resultat 1-5 av 33
Side 1
... Subtraction of Algebra , Third Book Multiplication of Algebra , PAGE . iii V : 7 41 42 : 44 46 63 ... 67 : 99 Division 105 " " " " ... ... Fractions " " " " ... ... 113 Involution 39 29 Extraction of Roots , Equations of the First ...
... Subtraction of Algebra , Third Book Multiplication of Algebra , PAGE . iii V : 7 41 42 : 44 46 63 ... 67 : 99 Division 105 " " " " ... ... Fractions " " " " ... ... 113 Involution 39 29 Extraction of Roots , Equations of the First ...
Side 29
... subtracting DE from both , as in figure 3 , the right lines AE and DF are equal ; also the right lines BA and BE are equal ... subtract the triangle CFD from the same quadrilateral , the remainder is the parallelogram BD ; therefore the ...
... subtracting DE from both , as in figure 3 , the right lines AE and DF are equal ; also the right lines BA and BE are equal ... subtract the triangle CFD from the same quadrilateral , the remainder is the parallelogram BD ; therefore the ...
Side 40
... what will the external angle be equal ? If you subtract the sum of two angles of a triangle from two right angles , to what will the remainder be equal ? ADDITIONAL DEFINITIONS , OR EXPLANATION OF TERMS . 1. Geometry 40 FIRST BOOK .
... what will the external angle be equal ? If you subtract the sum of two angles of a triangle from two right angles , to what will the remainder be equal ? ADDITIONAL DEFINITIONS , OR EXPLANATION OF TERMS . 1. Geometry 40 FIRST BOOK .
Side 42
... subtraction : thus ab represents the sum of the quantities a and b ; and a - b represents their difference or that which remains in taking b from a ; in the same way a -b + c , or a + c -b , signifies that a and c ought to be joined ...
... subtraction : thus ab represents the sum of the quantities a and b ; and a - b represents their difference or that which remains in taking b from a ; in the same way a -b + c , or a + c -b , signifies that a and c ought to be joined ...
Side 44
... subtracted from their sum , prefixing to the remain- der the sign of the greater quantity ; therefore + a + a + a a ... subtract the less sum from the greater , prefixing the sign of the latter before the common letter or letters . Add ...
... subtracted from their sum , prefixing to the remain- der the sign of the greater quantity ; therefore + a + a + a a ... subtract the less sum from the greater , prefixing the sign of the latter before the common letter or letters . Add ...
Vanlige uttrykk og setninger
absurd AC and CB AC by Prop AC is equal angle ABC angle equal angles by Prop arch bisected centre circumference co-efficient Const construct contained oftener diameter divided divisor double equal angles equal by Constr equal by Hypoth equal by Prop equal right lines equal to AC equal to twice equi-multiples equi-submultiples equiangular equilateral external angle fore fraction given angle given circle given line given right line given triangle greater half a right inscribed less multiplied opposite parallel parallelogram perpendicular PROPOSITION quantities quotient ratio rectangle under AC remaining angles remaining side right angle right line AB right line AC SCHOL segment semicircle side AC similar similarly demonstrated squares of AC submultiple subtract THEOREM tiple touches the circle triangle BAC twice the rectangle twice the square whole
Populære avsnitt
Side 20 - If two triangles have two sides of the one equal to two sides of the...
Side 30 - DE : but equal triangles on the same base and on the same side of it, are between the same parallels ; (i.
Side 209 - ... 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.
Side 218 - 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.
Side 114 - 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.
Side 90 - 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.
Side 129 - In any proportion, the product of the means is equal to the product of the extremes.
Side 163 - 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.
Side 215 - ... are to one another in the duplicate ratio of their homologous sides.
Side 160 - PROPOSITION XV. PROBLEM. To inscribe an equilateral and equiangular hexagon in a given circle. Let ABCDEF be the given circle.