Key to Exercises in EuclidMacmillan and Company, 1880 - 114 páginas |
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... ABC will be the triangle required . The given point and the vertex of the constructed triangle both fall on the circumference of the small circle . 3. Let AB and CD be two straight lines which bisect each other at right angles at the ...
... ABC will be the triangle required . The given point and the vertex of the constructed triangle both fall on the circumference of the small circle . 3. Let AB and CD be two straight lines which bisect each other at right angles at the ...
Página 2
Isaac Todhunter. 9. The angle ACB is equal to the angle BDA by I. 8 ; and then the two triangles ACB and BDA are equal in all respects by I. 4 ; so that the angle ABC is equal to the angle BAD . Therefore AO is equal to BO by I. 6 . 10 ...
Isaac Todhunter. 9. The angle ACB is equal to the angle BDA by I. 8 ; and then the two triangles ACB and BDA are equal in all respects by I. 4 ; so that the angle ABC is equal to the angle BAD . Therefore AO is equal to BO by I. 6 . 10 ...
Página 3
... angle BAC be bisected by AD , and the angle BAG by AE : the angle DAE shall be a right angle . Since the angle BAD ... ABC , by I. 16 ; and the angle AGB is greater than the angle ACB , by I. 16. Therefore the angles ABC and ACB are ...
... angle BAC be bisected by AD , and the angle BAG by AE : the angle DAE shall be a right angle . Since the angle BAD ... ABC , by I. 16 ; and the angle AGB is greater than the angle ACB , by I. 16. Therefore the angles ABC and ACB are ...
Página 4
Isaac Todhunter. For the angle ODC is greater than the angle OEC , by I. 16 ... ABC be a triangle , and O any point . Join OA , OB , OC . Then OA and OB are ... ABC be a triangle , and D the middle point of the base BC ; join AD : then AB ...
Isaac Todhunter. For the angle ODC is greater than the angle OEC , by I. 16 ... ABC be a triangle , and O any point . Join OA , OB , OC . Then OA and OB are ... ABC be a triangle , and D the middle point of the base BC ; join AD : then AB ...
Página 5
... angle BAC have the required values . 28. From any point D in the straight line bisecting the angle A of a triangle ... ABC be a triangle having the angle B a right angle , and let DEF be a triangle having the angle E a right angle ; also ...
... angle BAC have the required values . 28. From any point D in the straight line bisecting the angle A of a triangle ... ABC be a triangle having the angle B a right angle , and let DEF be a triangle having the angle E a right angle ; also ...
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Términos y frases comunes
ABCD AC and BD AC is equal angle ABC angle ACB angle BAC angle CAB bisects the angle Cambridge centre chord circle described circumference Crown 8vo describe a circle diameter draw a straight Edition equal to BC equal to four equal to half equal to twice equiangular Euclid Exercise 176 Extra fcap fcap fore given circle given point given straight line greater half a right half the angle Hence Let ABC meeting BC middle point Owens College parallel to BC parallelogram perpendicular plane Professor quadrilateral radius equal rectangle rhombus right angles segment shewn side BC square on BC straight line parallel suppose tangent touch the circle triangle ABC twice the angle twice the rectangle twice the squares
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