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 100
Side
... Proposition of the First Book , and is said to have sacrificed 100 cattle for joy . Anaxagoras , born at Clazomene in Ionia , about 500 years before Christ , was an advancer of Science . He taught Philosophy at Athens , Socrates and ...
... Proposition of the First Book , and is said to have sacrificed 100 cattle for joy . Anaxagoras , born at Clazomene in Ionia , about 500 years before Christ , was an advancer of Science . He taught Philosophy at Athens , Socrates and ...
Side 7
... PROPOSITION II . PROBLEM . From a given point ( A ) to draw a right line equal to a given finite right line ( BC ) . From the given point A draw a right line AB to either extremity B of the given right line ( by Post . 1 ) ; upon AB ...
... PROPOSITION II . PROBLEM . From a given point ( A ) to draw a right line equal to a given finite right line ( BC ) . From the given point A draw a right line AB to either extremity B of the given right line ( by Post . 1 ) ; upon AB ...
Side 8
... PROPOSITION III . PROBLEM . From the greater of two given right lines ( AB and CF ) to cut off a part equal to the less . From either extremity A of the greater right line , draw AD , equal to the less CF of the given lines ( by Prop ...
... PROPOSITION III . PROBLEM . From the greater of two given right lines ( AB and CF ) to cut off a part equal to the less . From either extremity A of the greater right line , draw AD , equal to the less CF of the given lines ( by Prop ...
Side 10
... PROPOSITION VI . THEOREM . If two angles ( B and C ) of a triangle ( BAC ) be equal , the sides opposite to them ( AC and AB ) are equal . If not , let one of them BA be made greater than the other , cut off a right line BD equal D to ...
... PROPOSITION VI . THEOREM . If two angles ( B and C ) of a triangle ( BAC ) be equal , the sides opposite to them ( AC and AB ) are equal . If not , let one of them BA be made greater than the other , cut off a right line BD equal D to ...
Side 12
... PROPOSITION IX . PROBLEM . To cut a given rectilineal angle ( BAC ) into two equal parts . From A take the equals AD ... proposition an angle can be also divided into 4 , 8 , 16 , parts , & c . by again bisecting each part . PROPOSITION ...
... PROPOSITION IX . PROBLEM . To cut a given rectilineal angle ( BAC ) into two equal parts . From A take the equals AD ... proposition an angle can be also divided into 4 , 8 , 16 , parts , & c . by again bisecting each part . PROPOSITION ...
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.