The Element of GeometryW.E. Dean, 1836 - 114 páginas |
Dentro del libro
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Página 7
... called a right angle , and the lines may be said to be perpendicu- lar to each other . XXVIII . An angle greater than a right angle , may be called an obtuse angle . XXIX . An angle less than a right angle , may be called an acute angle ...
... called a right angle , and the lines may be said to be perpendicu- lar to each other . XXVIII . An angle greater than a right angle , may be called an obtuse angle . XXIX . An angle less than a right angle , may be called an acute angle ...
Página 8
... called a triangle . XXXV . A triangle containing a right angle may be called a right angled triangle . XXXVI . The side opposite the right angle may be called the hypothenuse , and the other two sides the legs . One of the legs may be ...
... called a triangle . XXXV . A triangle containing a right angle may be called a right angled triangle . XXXVI . The side opposite the right angle may be called the hypothenuse , and the other two sides the legs . One of the legs may be ...
Página 9
... called a scalene tri- angle . XLIII . If a straight line move on two straight lines which make an angle , the surface thus described may be called a plane . XLIV . A plane may be supposed to be described on any two straight lines which ...
... called a scalene tri- angle . XLIII . If a straight line move on two straight lines which make an angle , the surface thus described may be called a plane . XLIV . A plane may be supposed to be described on any two straight lines which ...
Página 10
... called a diameter . LVI . A part of the circumference of a circle may be called an arc . LVII . If a line or figure is divided into two equal parts , it may be said to be bisected . DEFINITIONS Of terms which are used in Geometry . I. A ...
... called a diameter . LVI . A part of the circumference of a circle may be called an arc . LVII . If a line or figure is divided into two equal parts , it may be said to be bisected . DEFINITIONS Of terms which are used in Geometry . I. A ...
Página 17
... called a perpendicular to it ( Def . 27. ) ; therefore , from the given point C , a perpendicular CH has been drawn to the given straight line AB . Which was to be done . PROP . XI . THEOR . From a point without a straight line , only ...
... called a perpendicular to it ( Def . 27. ) ; therefore , from the given point C , a perpendicular CH has been drawn to the given straight line AB . Which was to be done . PROP . XI . THEOR . From a point without a straight line , only ...
Otras ediciones - Ver todas
The Element of Geometry (Classic Reprint) Formerly Chairman Department of Immunology John Playfair,John Playfair Sin vista previa disponible - 2017 |
Términos y frases comunes
AB is equal AC is equal adjacent angles angle ABC angle ACB angle BAC angle DEF arc AC base BC bisect called centre circle ABCD circle EFGH coincide described divided drawn duplicate ratio equal 17 equal angles equal circles equal to CD equiangular FGHKL fore four right angles given straight line gnomon greater homologous sides join less Let ABC Let the straight opposite angles parallel parallelogram perpendicular polygon PROB produced Q. E. D. PROP radius rectangle BC rectangle contained rectilineal figure remaining angle right angled triangle secant segment side AC similar sine square of AC straight line AB straight line AC THEOR touches the circle triangle ABC twice the rectangle wherefore whole angle
Pasajes populares
Página 25 - If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
Página 13 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line ; it is required to draw a straight line E iR.
Página 4 - To draw a straight line at right angles to a given straight line, from a given point in the same.
Página 29 - In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side...
Página 90 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.
Página 87 - ... magnitudes there be taken more than its half, and from the remainder more than its half, and so on, there shall at length remain a magnitude less than the least of the proposed magnitudes.
Página 1 - If two triangles have two sides of the one equal to two sides of the...
Página 13 - If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles.
Página 64 - 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 19 - If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...