Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of] Algebra |
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Página 7
... common to the two triangles BFC , CGB ; wherefore the triangles are equal and their remaining angles each to each , to which the equal sides are opposite ; therefore FBC is equal to GCB , and BCF to CBG ; and , since it has been ...
... common to the two triangles BFC , CGB ; wherefore the triangles are equal and their remaining angles each to each , to which the equal sides are opposite ; therefore FBC is equal to GCB , and BCF to CBG ; and , since it has been ...
Página 10
... common to the two triangles DAF , EAF ; the two sides DA , AF , are equal to the two sides EA , AF , each to each ; and the base DF is equal to EF ; there- fore the angle DAF is equal to EAF : wherefore the given rectilineal angle BAC ...
... common to the two triangles DAF , EAF ; the two sides DA , AF , are equal to the two sides EA , AF , each to each ; and the base DF is equal to EF ; there- fore the angle DAF is equal to EAF : wherefore the given rectilineal angle BAC ...
Página 11
... common segment . A If it be possible , let the two straight lines ABC , ABD , have the segment AB common to both of them . From the point B draw BE at right angles to AB ; and because ABC is a straight line , the angle CBE is equal to ...
... common segment . A If it be possible , let the two straight lines ABC , ABD , have the segment AB common to both of them . From the point B draw BE at right angles to AB ; and because ABC is a straight line , the angle CBE is equal to ...
Página 12
... common segment . XII . To draw a straight line perpendicular to a given straight line of an unlimited length , from a given point without it . Let AB be the given straight line , which may be produced to any length both ways , and let C ...
... common segment . XII . To draw a straight line perpendicular to a given straight line of an unlimited length , from a given point without it . Let AB be the given straight line , which may be produced to any length both ways , and let C ...
Página 14
... common angle ABC , the remaining angle , ABE is equal to the remaining angle ABD , the less to the greater , which is impossible ; therefore BE is not in the same straight line with BC . And , in like manner , it may be demonstrated ...
... common angle ABC , the remaining angle , ABE is equal to the remaining angle ABD , the less to the greater , which is impossible ; therefore BE is not in the same straight line with BC . And , in like manner , it may be demonstrated ...
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Stewart's Specific Subjects. Euclid. [1st] (-3rd Stage). [With 2 Issues Of ... Stewart W and Co Sin vista previa disponible - 2015 |
Términos y frases comunes
ABC is equal adjacent angles alternate angles angle ABC angle ACD angle AGH angle BAC angle EDF angles CBA angles equal base BC bisect centre coincide cows cubic feet diameter divided equal sides equal to AB equal to BC equilateral triangle exterior angle figure Find the value fore given point given rectilineal angle given straight line gnomon History of England HOLBORN VIADUCT inches interior and opposite join length less Let ABC likewise opposite angle parallel to CD parallelogram perpendicular pigs produced quantity rectangle contained remaining angle right angles shillings side BC sides are opposite sides equal solid content square of AC Stewart Ross STEWART'S third angle trapezium triangle ABC twice the rectangle whole x²y yards
Pasajes populares
Página 19 - If two triangles have two sides of the one equal to two sides of the...
Página 1 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a Right Angle; and the straight line which stands on the other is called a Perpendicular to it.
Página 8 - Upon the same base, and on the same side of it, there cannot be two triangles, that have their sides which are terminated in one extremity of the base equal to one another, and likewise those which are terminated in the other extremity, equal to one another.
Página 16 - Any two sides of a triangle are together greater than the third side.
Página 12 - IF a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part.
Página 5 - IF two angles of a triangle be equal to one another, the sides also which subtend, or are opposite to, the equal angles, shall be equal to one another.