The Element of GeometryW.E. Dean, 1836 - 114 Seiten |
Im Buch
Ergebnisse 1-5 von 39
Seite 8
... 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 the base , and the ...
... 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 the base , and the ...
Seite 12
... right angles by the hypothesis ; Produce AB to E , and because and DBE are together equal to But ABD and CBD are equal therefore ABD and DBE are A D B C E equal to ABD and CBD . Take away the common angle ... triangles have 12 THE ELEMENT.
... right angles by the hypothesis ; Produce AB to E , and because and DBE are together equal to But ABD and CBD are equal therefore ABD and DBE are A D B C E equal to ABD and CBD . Take away the common angle ... triangles have 12 THE ELEMENT.
Seite 16
John Playfair. angle BGC . And , therefore , the triangles are equivalent ( 4. 1. ) ; and the angle ABC equal to the ... right angles to a given straight line , from a given point in the same . Let AB be the given straight line ...
John Playfair. angle BGC . And , therefore , the triangles are equivalent ( 4. 1. ) ; and the angle ABC equal to the ... right angles to a given straight line , from a given point in the same . Let AB be the given straight line ...
Seite 17
... triangles DFC , EFC are equivalent ; and the angle DCF is equal to the angle BCF , and therefore ( Def . 27. ) CF is perpendicular to DE , or AB . Wherefore , from the given point C , in the given straight line AB , CF has been drawn at ...
... triangles DFC , EFC are equivalent ; and the angle DCF is equal to the angle BCF , and therefore ( Def . 27. ) CF is perpendicular to DE , or AB . Wherefore , from the given point C , in the given straight line AB , CF has been drawn at ...
Seite 18
... right angle . Therefore , From , & c . Q. E. D. PROP . XII . THEOR . If from the ends of the side of a triangle there be drawn two straight lines to a point within the triangle , these shall be less than the other two sides of the triangle ...
... right angle . Therefore , From , & c . Q. E. D. PROP . XII . THEOR . If from the ends of the side of a triangle there be drawn two straight lines to a point within the triangle , these shall be less than the other two sides of the triangle ...
Andere Ausgaben - Alle anzeigen
The Element of Geometry (Classic Reprint) Formerly Chairman Department of Immunology John Playfair,John Playfair Keine Leseprobe verfügbar - 2017 |
Häufige Begriffe und Wortgruppen
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 diameter divided drawn duplicate ratio equal angles equal circles equal to AC 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
Beliebte Passagen
Seite 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.
Seite 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.
Seite 4 - To draw a straight line at right angles to a given straight line, from a given point in the same.
Seite 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...
Seite 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.
Seite 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.
Seite 1 - If two triangles have two sides of the one equal to two sides of the...
Seite 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.
Seite 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.
Seite 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...