Rider Papers on Euclid (books I. and II.)Macmillan, 1891 - 79 σελίδες |
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Σελίδα 12
... produce it both ways to M and N. Make MB = AN . Show how to describe an isosceles triangle on AB , having its two sides CA and CB each equal to MB or AN . 4. ABC is an isosceles triangle , having the side AB equal to the side AC , and ...
... produce it both ways to M and N. Make MB = AN . Show how to describe an isosceles triangle on AB , having its two sides CA and CB each equal to MB or AN . 4. ABC is an isosceles triangle , having the side AB equal to the side AC , and ...
Σελίδα 17
... produced if necessary , which joins their vertices will bisect their common base , and be perpendicular to it . 4. Two straight lines AB and CD cut each other in the point O , and the four angles at the point O are bisected by the lines ...
... produced if necessary , which joins their vertices will bisect their common base , and be perpendicular to it . 4. Two straight lines AB and CD cut each other in the point O , and the four angles at the point O are bisected by the lines ...
Σελίδα 18
... produce it to E , making PE equal to AP . Join BE , cutting CD in X ; and join AX . Prove that AX and BX make equal angles with CD . 5. ABCD is a quadrilateral figure of which AD is the longest side and BC the shortest . Prove that the ...
... produce it to E , making PE equal to AP . Join BE , cutting CD in X ; and join AX . Prove that AX and BX make equal angles with CD . 5. ABCD is a quadrilateral figure of which AD is the longest side and BC the shortest . Prove that the ...
Σελίδα 19
... produced in R. From PR cut off PN equal to PQ and join AN . Prove that the triangle APN is equal to the triangle PQB , and that the triangle ABC is less than the triangle QRC . XI . 1. Show how to find the centre of a circle which shall ...
... produced in R. From PR cut off PN equal to PQ and join AN . Prove that the triangle APN is equal to the triangle PQB , and that the triangle ABC is less than the triangle QRC . XI . 1. Show how to find the centre of a circle which shall ...
Σελίδα 20
... produced to D , prove that CD is equal to half the sum of AD and BD . 6. If two triangles have two sides of the one equal to two sides of the other , each to each , and have likewise the angles opposite to one pair of equal sides equal ...
... produced to D , prove that CD is equal to half the sum of AD and BD . 6. If two triangles have two sides of the one equal to two sides of the other , each to each , and have likewise the angles opposite to one pair of equal sides equal ...
Άλλες εκδόσεις - Προβολή όλων
Rider Papers on Euclid: Books I. And II.; Graduated and Arranged in Order of ... Rupert Deakin Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
adjacent sides angle ABC angle BAC angle contained angle equal ARCHIBALD GEIKIE ARITHMETIC base BC BEGINNERS bisector bisects the angle Cambridge Clifton College Crown 8vo diagonals draw a straight Edition ELEMENTARY ALGEBRA equal sides equal to BC equal to half equidistant equilateral triangle EUCLID'S ELEMENTS exterior angle fcap figure is equal figure of Prop Find a point finite straight line GEOMETRY given finite straight given point given straight line Globe 8vo greater hypothenuse isosceles triangle joins the middle JOSEPH WOLSTENHOLME KING EDWARD'S SCHOOL line be divided line joining line which bisects line which joins MACMILLAN Mathematical medians middle points opposite angles opposite sides parallel straight lines parallelogram produced Prof rectangle contained rhombus Riders right angles right-angled triangle set on Books Show side AB equal sides BC sides equal straight lines drawn T. H. HUXLEY third side triangle is equal TRIGONOMETRY twice the rectangle vertex W. K. CLIFFORD
Δημοφιλή αποσπάσματα
Σελίδα 8 - Prize Essay for 1877. 8vC. &r. 6d. SMITH— Works by the Rev. BARNARD SMITH, MA, Rector of Glaston, Rutland, late Fellow and Senior Bursar of St. Peter's College, Cambridge. ARITHMETIC AND ALGEBRA, in their Principles and Application ; with numerous systematically arranged Examples taken from the Cambridge Examination Papers, with especial reference to the Ordinary Examination for the BA Degree.
Σελίδα 63 - PROP. VIII. THEOR. If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part.
Σελίδα 23 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Σελίδα 59 - Any two sides of a triangle are together greater than the third side.
Σελίδα 60 - IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles.
Σελίδα 63 - If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the part of it produced, together •with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced.
Σελίδα 58 - If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.
Σελίδα 9 - OF EUCLID'S ELEMENTS. Including Alternative Proofs, together with additional Theorems and Exercises, classified and arranged. By HS HALL, MA, and FH STEVENS, MA, Masters of the Military and Engineering Side, Clifton College. Gl.
Σελίδα 62 - In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle.
Σελίδα 62 - If the square described upon one of the sides of a triangle, be equal to the squares described upon the other two sides of it ; the angle contained by these two sides is a right angle.