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Página 12
... Triangle . Tres , angulus , with three angles . Quadrilateral . Quadra ( quater ) , latus , with four sides ... ABC , PRS be right angles ; it is required to prove that ABC is equal to PRS . Proof . If the point B were placed on the ...
... Triangle . Tres , angulus , with three angles . Quadrilateral . Quadra ( quater ) , latus , with four sides ... ABC , PRS be right angles ; it is required to prove that ABC is equal to PRS . Proof . If the point B were placed on the ...
Página 19
... triangles are equal in all respects , viz . the base BC equal to the base EF , and the angle B to the angle E , and the angle C to the angle F , and the area ABC to the area DEF . Proof . If the point A be placed on the point D , and ...
... triangles are equal in all respects , viz . the base BC equal to the base EF , and the angle B to the angle E , and the angle C to the angle F , and the area ABC to the area DEF . Proof . If the point A be placed on the point D , and ...
Página 20
James Maurice Wilson. THEOREM 6 . The angles at the base of an isosceles triangle are equal to one another * . Part . En . Let ABC be an isosceles triangle , having the side AB equal to the side AC ; it is required to prove that the ...
James Maurice Wilson. THEOREM 6 . The angles at the base of an isosceles triangle are equal to one another * . Part . En . Let ABC be an isosceles triangle , having the side AB equal to the side AC ; it is required to prove that the ...
Página 22
... triangle is isosceles * . Part . En . Let the two angles B and C of the triangle ABC be equal ; it is required to prove that AB = AC . Proof . If the triangle were taken up and re- versed and replaced , so that the point C fell where ...
... triangle is isosceles * . Part . En . Let the two angles B and C of the triangle ABC be equal ; it is required to prove that AB = AC . Proof . If the triangle were taken up and re- versed and replaced , so that the point C fell where ...
Página 23
... ACD is greater than either CAB or ABC * . Q. E. D. THEOREM IO . The greater side of every triangle has the greater angle opposite to it . * Euclid , 1. 16 . Part . En . Let ABC be a triangle having SECT . II . ] 23 TRIANGLES .
... ACD is greater than either CAB or ABC * . Q. E. D. THEOREM IO . The greater side of every triangle has the greater angle opposite to it . * Euclid , 1. 16 . Part . En . Let ABC be a triangle having SECT . II . ] 23 TRIANGLES .
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Términos y frases comunes
ABCD angle ABC angle APB angle BAC base bisect bisector Book called centre chord circle circumference coincide College common Constr construct converse Crown 8vo diagonals diameter difference distance divided double draw Edition ELEMENTARY equal angles Euclid Examples exterior angle extremities fall figure Find follows four Geometry given angle given point given straight line greater half Hence Illustrations included inscribed interior intersect isosceles triangle Join length less Let ABC line drawn locus magnitudes measure meet middle point minor arc opposite sides parallel parallelogram pass perpendicular placed polygon PROBLEM produced Professor Proof proportional quadrilateral radius ratio rectangle contained rectilineal figure regular required to prove respectively right angles School segment Shew sides similar Similarly square supplementary tangent THEOREM third touch triangle ABC unequal
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