Elementary geometry |
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Página 17
... difference of two straight lines : and prove that their sum and difference together are double of the greater of the two straight lines . II . Given the sum and difference of two straight lines ; find the lengths of the straight lines ...
... difference of two straight lines : and prove that their sum and difference together are double of the greater of the two straight lines . II . Given the sum and difference of two straight lines ; find the lengths of the straight lines ...
Página 25
... together greater than AC † . Q.E.D. COR . The difference of any two sides of a triangle is less than the third side . * Euclid , 1. 19. + Euclid , 1. 20 . THEOREM 13 . If from the ends of the side SECT . II . ] 25 TRIANGLES .
... together greater than AC † . Q.E.D. COR . The difference of any two sides of a triangle is less than the third side . * Euclid , 1. 19. + Euclid , 1. 20 . THEOREM 13 . If from the ends of the side SECT . II . ] 25 TRIANGLES .
Página 77
... difference of sides , and one of the angles at the base , construct the triangle . 9. Find a point at a given distance from the circum- ference of two given circles , the distances being measured along their radii or their radii ...
... difference of sides , and one of the angles at the base , construct the triangle . 9. Find a point at a given distance from the circum- ference of two given circles , the distances being measured along their radii or their radii ...
Página 82
... difference of identically equal magnitudes are equal , although they may not be identically equal . THEOREM I. Parallelograms on the same base and between the same parallels are equal . Part . En . Let ABCD , EBCF be parallelograms ...
... difference of identically equal magnitudes are equal , although they may not be identically equal . THEOREM I. Parallelograms on the same base and between the same parallels are equal . Part . En . Let ABCD , EBCF be parallelograms ...
Página 87
... difference of its segments according as it is divided internally or externally . THEOREM 5 . The rectangle contained by two given lines is equal to the sum of the rectangles contained by one of them and the several parts into which the ...
... difference of its segments according as it is divided internally or externally . THEOREM 5 . The rectangle contained by two given lines is equal to the sum of the rectangles contained by one of them and the several parts into which the ...
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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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