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 |
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Resultat 1-5 av 48
Side
... square root , by M. Stifel ; the signs and were also introduced by him , in the 16th century . The sign = was first used to denote equality , by R. Recorde , in a Treatise named The Whetstone of Witte , published in 1557 ; and the X was ...
... square root , by M. Stifel ; the signs and were also introduced by him , in the 16th century . The sign = was first used to denote equality , by R. Recorde , in a Treatise named The Whetstone of Witte , published in 1557 ; and the X was ...
Side 5
... square is a quadrilateral , which is equilateral and equiangular . 32. Rectilineal figures which have more than four sides , are called polygons . POSTULATES . 1. Let it be granted that a right line can be drawn from any point to ...
... square is a quadrilateral , which is equilateral and equiangular . 32. Rectilineal figures which have more than four sides , are called polygons . POSTULATES . 1. Let it be granted that a right line can be drawn from any point to ...
Side 33
... square . And it can be similarily demonstrated , that EK is a square . PROPOSITION XLIV . PROBLEM . To a given right line ( OS ) to apply a parallelogram , equal to a given triangle , and having an angle equal to a given angle ( V ...
... square . And it can be similarily demonstrated , that EK is a square . PROPOSITION XLIV . PROBLEM . To a given right line ( OS ) to apply a parallelogram , equal to a given triangle , and having an angle equal to a given angle ( V ...
Side 36
... square on a given right line ( AB . ) From an extremity of the given line A , draw AC per- pendicular ( by Schol . Prop . 11 ) , and equal to AB ( by Prop . 3 ) , through C draw CD parallel to AB ( by Prop . 31 ) , and through B draw BD ...
... square on a given right line ( AB . ) From an extremity of the given line A , draw AC per- pendicular ( by Schol . Prop . 11 ) , and equal to AB ( by Prop . 3 ) , through C draw CD parallel to AB ( by Prop . 31 ) , and through B draw BD ...
Side 37
... square of the side ( AC ) opposite to the right angle , is equal to the sum of the squares of the remaining sides ( AB and CB . ) On the sides AB , AC and BC de- scribe the squares AX , AF and BI , and draw BE parallel to either CF or ...
... square of the side ( AC ) opposite to the right angle , is equal to the sum of the squares of the remaining sides ( AB and CB . ) On the sides AB , AC and BC de- scribe the squares AX , AF and BI , and draw BE parallel to either CF or ...
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.