Geometrical Exercises for BeginnersMacmillan, 1882 - 203 sider |
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Resultat 1-5 av 23
Side 18
... inscribed in a circle , the sum of the angles PT'Q , PSQ is equal to two right angles ( III . 22 ) . But ( hyp . ) the sum of the angles PTQ , PSQ is equal to two right angles ; therefore the angles PTQ , PTQ are equal , which ...
... inscribed in a circle , the sum of the angles PT'Q , PSQ is equal to two right angles ( III . 22 ) . But ( hyp . ) the sum of the angles PTQ , PSQ is equal to two right angles ; therefore the angles PTQ , PTQ are equal , which ...
Side 24
... inscribed circle of the triangle GHI . 2. Prove that the sides BC , CA , AB of the triangle ABC are the external bisectors of the angles of the triangle GHI . PROP . 22. The internal bisectors of the angles of a triangle meet in a point ...
... inscribed circle of the triangle GHI . 2. Prove that the sides BC , CA , AB of the triangle ABC are the external bisectors of the angles of the triangle GHI . PROP . 22. The internal bisectors of the angles of a triangle meet in a point ...
Side 25
... inscribed circle . Again , ( I. 47 ) AO2 = AF2 + FO2 = AE2 + OE2 ; there- fore AF2 + FO2 = AE + OE2 , and taking from these equals the equal squares of FO , OE , the squares AF , AE remain equal . Hence , in the triangles AOF , AOE ...
... inscribed circle . Again , ( I. 47 ) AO2 = AF2 + FO2 = AE2 + OE2 ; there- fore AF2 + FO2 = AE + OE2 , and taking from these equals the equal squares of FO , OE , the squares AF , AE remain equal . Hence , in the triangles AOF , AOE ...
Side 26
... triangle ABC ; and if 2s = a + b + c : prove that AF AE = = BF - BD 8 - a ; = 8 - b ; CD = CE = sc ; D , E , F , being the points of contact of the inscribed circle . 2. If D , E , F , are the 26 GEOMETRICAL EXERCISES.
... triangle ABC ; and if 2s = a + b + c : prove that AF AE = = BF - BD 8 - a ; = 8 - b ; CD = CE = sc ; D , E , F , being the points of contact of the inscribed circle . 2. If D , E , F , are the 26 GEOMETRICAL EXERCISES.
Side 27
... inscribed , and escribed circle opposite the angle A. [ Consider Props . 2 and 5. ] 4. The area of a triangle is equal to sr , r being the radius of the inscribed circle . [ For the solution of this and the next example , consider Prop ...
... inscribed , and escribed circle opposite the angle A. [ Consider Props . 2 and 5. ] 4. The area of a triangle is equal to sr , r being the radius of the inscribed circle . [ For the solution of this and the next example , consider Prop ...
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Geometrical Exercises: For Beginners (1882) Samuel Constable Ingen forhåndsvisning tilgjengelig - 2008 |
Geometrical Exercises: For Beginners (1882) Samuel Constable Ingen forhåndsvisning tilgjengelig - 2008 |
Vanlige uttrykk og setninger
AD² angle BAC angle BCD angle equal Assistant-Master base angles base BC BD² Bisect Cambridge centre chord circumference circumscribing circle Clifton College Conic Sections Consider Prop construct Crown 8vo draw ELEMENTARY TREATISE English equal to half escribed circle Eton College Extra fcap Fellow of St find the locus fixed point GEOMETRY given base given circle given difference given ratio given square given straight line Given the base given vertical angle GRAMMAR GREEK half a right half the given Hence HISTORY hypotenuse inscribed internal bisector intersection isosceles J. P. MAHAFFY John's College late Fellow LATIN Let ABC Mathematical meet middle point nine-point circle numerous Illustrations Owens College Oxford parallel perpendicular perpendicular to BC Professor prove quadrilateral R. C. JEBB radius rectangle rectangle contained right angle right-angled triangle School segment semicircle tangent triangle ABC Trinity College vertex W. K. CLIFFORD
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