Euclidian Geometry |
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Page xvi
... 129 , " 6 , for divides read divide . 1 , add if possible , let them bisect each other ; ,, 131 ,,, 13 , omit to it . 201. In the diagram the diagonal of FB is AC . PLANE GEOMETRY . BOOK I. INTRODUCTION . A point has xvi.
... 129 , " 6 , for divides read divide . 1 , add if possible , let them bisect each other ; ,, 131 ,,, 13 , omit to it . 201. In the diagram the diagonal of FB is AC . PLANE GEOMETRY . BOOK I. INTRODUCTION . A point has xvi.
Page 44
... diagonal . PROPOSITION XXVI . The opposite sides and angles of a parallelogram are equal , and the diagonal bisects it . Let ABCD be a ☐ , and BD a diagonal . A Then shall AB be = CD , AD = BC , L BAD = L BCD , = LABC L ADC , and a = A ...
... diagonal . PROPOSITION XXVI . The opposite sides and angles of a parallelogram are equal , and the diagonal bisects it . Let ABCD be a ☐ , and BD a diagonal . A Then shall AB be = CD , AD = BC , L BAD = L BCD , = LABC L ADC , and a = A ...
Page 56
... diagonals , and SR , PN □ s about the diagonal . Then FQ , QH , the remainings , which are called complements , shall be equal to one another . Fors are bisected by their diagonals , ( 1. 26 ) .. ASGQ is = ARGQ , and △ PQK = ^ NQK ...
... diagonals , and SR , PN □ s about the diagonal . Then FQ , QH , the remainings , which are called complements , shall be equal to one another . Fors are bisected by their diagonals , ( 1. 26 ) .. ASGQ is = ARGQ , and △ PQK = ^ NQK ...
Page 60
... diagonal QS of the PR , and they are .. = one another , ... FR is = but PF is = LH ; ( I. 34 ) LH and it has been described on FG . COR . Hence to a given straight line may be applied a parallelogram equal to a given triangle and having ...
... diagonal QS of the PR , and they are .. = one another , ... FR is = but PF is = LH ; ( I. 34 ) LH and it has been described on FG . COR . Hence to a given straight line may be applied a parallelogram equal to a given triangle and having ...
Page 148
... diagonals AC , BD intersecting in Q. With centre at the distance QA describe a C . It shall be the one required . · AB = BC ; .. BAC = L BCA ; and since △ ABC is a right 4 ; ( 1. 2 ) .. LS BAC , BCA are each of them = half a right ...
... diagonals AC , BD intersecting in Q. With centre at the distance QA describe a C . It shall be the one required . · AB = BC ; .. BAC = L BCA ; and since △ ABC is a right 4 ; ( 1. 2 ) .. LS BAC , BCA are each of them = half a right ...
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Common terms and phrases
Algebra Arithmetic base BEGINNERS Cambridge centre chord Christ's College circumference cloth Conic Sections Crown 8vo Describe a circle diagonals diameter divided ELEMENTARY TREATISE English equiangular equilateral Euclid Examples Extra fcap GEOMETRY given angle given circle given point given straight line Grammar greater H Let Hence inscribed intersecting isosceles triangle John's College Latin Let ABC line bisecting locus magnitudes Mathematical meet Owens College parallel parallelogram perimeter perpendicular plane PROBLEM produced Professor proportional PROPOSITION radius ratio rect rectangle rectangle contained rectilineal figure regular polygon render respectively revised rhombus right angles Schools Second Edition segment Similarly squares on AC straight line joining student tangent THEOREM TRIGONOMETRY twice rectangle twice the squares Uppingham School vertex
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Page 157 - The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth ; if the multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth...
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