Rider Papers on Euclid (books I. and II.)Macmillan, 1891 - 79 σελίδες |
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Σελίδα 31
... square . 4. In the triangle ABC the side AB is bisected at M and MN is drawn parallel to BC to meet AC in N. Prove , by drawing NP parallel to AB , that MN bisects the side AC . 5. Any point P is taken in the base BC of an isosceles ...
... square . 4. In the triangle ABC the side AB is bisected at M and MN is drawn parallel to BC to meet AC in N. Prove , by drawing NP parallel to AB , that MN bisects the side AC . 5. Any point P is taken in the base BC of an isosceles ...
Σελίδα 41
... square two lines which shall divide the square into three equal parts . XXXVIII . 1. Describe a right - angled triangle having EUCLID , BOOKS I. AND II . 41.
... square two lines which shall divide the square into three equal parts . XXXVIII . 1. Describe a right - angled triangle having EUCLID , BOOKS I. AND II . 41.
Σελίδα 42
... square construct the square . 6. Any point P is taken in the base AB of a triangle , and PQ and PR are drawn parallel to the sides of the triangle , meeting them in Q and R. Prove that the parallelogram PQCR is greatest when P is taken ...
... square construct the square . 6. Any point P is taken in the base AB of a triangle , and PQ and PR are drawn parallel to the sides of the triangle , meeting them in Q and R. Prove that the parallelogram PQCR is greatest when P is taken ...
Σελίδα 43
... square ABDE ; and on AC , on the same side as B , describe the square ACFG . Draw FH and FK perpendicular to BD and ED produced . Prove that ( 1 ) G lies in DE , ( 2 ) the triangles ABC , AEG , CHF , GKF are all equal , ( 3 ) HK is a square ...
... square ABDE ; and on AC , on the same side as B , describe the square ACFG . Draw FH and FK perpendicular to BD and ED produced . Prove that ( 1 ) G lies in DE , ( 2 ) the triangles ABC , AEG , CHF , GKF are all equal , ( 3 ) HK is a square ...
Σελίδα 44
... square is described on a line DE which is equal to the sum of the two sides of the right - angled triangle ABC , and from two opposite corners of this square two right - angled parallelograms , each double of the triangle ABC , are cut ...
... square is described on a line DE which is equal to the sum of the two sides of the right - angled triangle ABC , and from two opposite corners of this square two right - angled parallelograms , each double of the triangle ABC , are cut ...
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.