Euclid's Elements of GeometryBell & Daldy, 1872 - 261 páginas |
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Página 2
... figure which is contained by the diameter and the part of the circumference which the diameter cuts off . 20. A rectilineal figure , is a plane superficies contained by right lines . 21. A triangle is a plane superficies , which is ...
... figure which is contained by the diameter and the part of the circumference which the diameter cuts off . 20. A rectilineal figure , is a plane superficies contained by right lines . 21. A triangle is a plane superficies , which is ...
Página 3
... quadrilateral figure , whose opposite sides are parallel . 31. A square is a quadrilateral figure , which is equi- lateral and equiangular . 32. Rectilineal figures which have more than four sides , are called polygons . POSTULATES . 1 ...
... quadrilateral figure , whose opposite sides are parallel . 31. A square is a quadrilateral figure , which is equi- lateral and equiangular . 32. Rectilineal figures which have more than four sides , are called polygons . POSTULATES . 1 ...
Página 25
... rectilineal figure ABCDE , are equal to twice as many right angles , deducting four , as the figure hath sides . E A D B O For assume a point F within the figure , and draw the right lines FA , FB , FC , FD and FE . There are as many ...
... rectilineal figure ABCDE , are equal to twice as many right angles , deducting four , as the figure hath sides . E A D B O For assume a point F within the figure , and draw the right lines FA , FB , FC , FD and FE . There are as many ...
Página 32
... rectilineal figure ( ABCED ) , having an angle equal to a given angle ( H ) . Let the given rectilineal figure be resolved into tri- angles . Construct IPS equal to the triangle BDA ( by Cor . Prop . 22 ) , and construct a parallelogram ...
... rectilineal figure ( ABCED ) , having an angle equal to a given angle ( H ) . Let the given rectilineal figure be resolved into tri- angles . Construct IPS equal to the triangle BDA ( by Cor . Prop . 22 ) , and construct a parallelogram ...
Página 33
... figure is resolved ; the parallelogram ILYQ will be equal to the given rectilineal figure ABCED , and having an angle LIQ equal to the given angle H. For since RV and IQ are parallel , the angle VRI with the angle QIR is equal to two ...
... figure is resolved ; the parallelogram ILYQ will be equal to the given rectilineal figure ABCED , and having an angle LIQ equal to the given angle H. For since RV and IQ are parallel , the angle VRI with the angle QIR is equal to two ...
Otras ediciones - Ver todas
Euclid's Elements of Geometry: Translated From the Latin of ... Thomas ... Thomas Elrington Sin vista previa disponible - 2018 |
Euclid's Elements of Geometry: Translated From the Latin of ... Thomas ... Thomas Elrington Sin vista previa disponible - 2022 |
Euclid's Elements of Geometry: Translated from the Latin of ... Thomas ... Thomas Elrington Sin vista previa disponible - 2015 |
Términos y frases comunes
absurd AC and CB AC by Prop AC is equal angle ABC angles by Prop arch base bisected centre circumference CKMB co-efficient Const contained in CD contained oftener divided divisor double draw drawn equal angles equal by Constr equal by Hypoth equal by Prop equal to twice equation equi equi-multiples equi-submultiples equiangular equilateral external angle fore four magnitudes proportional given angle given circle given line given right line given triangle gonal half a right inscribed less multiplying oftener contained parallel parallelogram perpendicular PROPOSITION quantities rectangle under AC rectilineal figure remaining angles remaining side right angles right line AC Schol segment side AC similar similarly demonstrated squares of AC submultiple subtract THEOREM tiple touches the circle triangle BAC twice the rectangle
Pasajes populares
Página 18 - If two triangles have two sides of the one equal to two sides of the...
Página 28 - DE : but equal triangles on the same base and on the same side of it, are between the same parallels ; (i.
Página 207 - ... 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.
Página 216 - 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.
Página 127 - In any proportion, the product of the means is equal to the product of the extremes.
Página 161 - 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.
Página 112 - 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.
Página 213 - ... are to one another in the duplicate ratio of their homologous sides.
Página 163 - 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.
Página 88 - 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.