Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of] Algebra |
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Page 5
... angles , which have the sides AB , AC , equal to DE , DF , each to each , viz . , AB to DE , and AC to DF ; and the angle BAC equal to the angle EDF , the base BC shall be equal to the base EF ; and the triangle ABC to the B CE triangle ...
... angles , which have the sides AB , AC , equal to DE , DF , each to each , viz . , AB to DE , and AC to DF ; and the angle BAC equal to the angle EDF , the base BC shall be equal to the base EF ; and the triangle ABC to the B CE triangle ...
Page 6
... angle BAC is equal to the angle EDF ; where- fore also C shall coincide with F , because AC is equal to DF ; but the point B coincides with the point E ; wherefore the base BC shall coincide with the base EF , because the point B ...
... angle BAC is equal to the angle EDF ; where- fore also C shall coincide with F , because AC is equal to DF ; but the point B coincides with the point E ; wherefore the base BC shall coincide with the base EF , because the point B ...
Page 9
... angle FDC is likewise greater than BCD ; much more then is the angle BDC greater than BCD . Again , because CB is ... BAC is equal to the angle EDF . For , if the triangle ABC be applied to DEF , so that the D G CE point B be on E , and ...
... angle FDC is likewise greater than BCD ; much more then is the angle BDC greater than BCD . Again , because CB is ... BAC is equal to the angle EDF . For , if the triangle ABC be applied to DEF , so that the D G CE point B be on E , and ...
Page 10
... angle BAC coincides with the angle EDF , and is equal to it . IX . - To bisect a given rectilineal angle , that is , divide it into two equal angles . Let BAC be the given rectilineal angle , it is re- quired to bisect it . Take any ...
... angle BAC coincides with the angle EDF , and is equal to it . IX . - To bisect a given rectilineal angle , that is , divide it into two equal angles . Let BAC be the given rectilineal angle , it is re- quired to bisect it . Take any ...
Page 4
... angles CBA , BAC . Bisect AC in E , join BE and produce it to F , and make EF equal to BE ; join also FC , and produce AC to G. Because AE is equal to EC , and BE to EF ; AE , EB , are equal to CE , EF , each to each ; and the angle AEB ...
... angles CBA , BAC . Bisect AC in E , join BE and produce it to F , and make EF equal to BE ; join also FC , and produce AC to G. Because AE is equal to EC , and BE to EF ; AE , EB , are equal to CE , EF , each to each ; and the angle AEB ...
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Stewart's Specific Subjects. Euclid. [1st] (-3rd Stage). [With 2 Issues Of ... Stewart W and Co No preview available - 2015 |
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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
Popular passages
Page 19 - If two triangles have two sides of the one equal to two sides of the...
Page 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.
Page 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.
Page 16 - Any two sides of a triangle are together greater than the third side.
Page 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.
Page 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.