Rider Papers on Euclid (books I. and II.)Macmillan, 1891 - 79 σελίδες |
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Αποτελέσματα 1 - 5 από τα 12.
Σελίδα 16
... greater than BX , and CA is greater than CX . 6. ABC is any triangle . Prove that the difference between any two sides , BA and AC , is less than the third side BC . VIII . 1. AB iş a given straight line , 16 RIDER PAPERS .
... greater than BX , and CA is greater than CX . 6. ABC is any triangle . Prove that the difference between any two sides , BA and AC , is less than the third side BC . VIII . 1. AB iş a given straight line , 16 RIDER PAPERS .
Σελίδα 22
... sides be equal , and the angles which a third side makes with the equal sides be equal , then the other angles of the quadri- lateral shall be equal . 3. A is any point outside , and B and C any two points in a given straight line ...
... sides be equal , and the angles which a third side makes with the equal sides be equal , then the other angles of the quadri- lateral shall be equal . 3. A is any point outside , and B and C any two points in a given straight line ...
Σελίδα 23
... third angle of the one is equal to the third angle of the other . XVI . 1. In the figure of Prop . 2 show how to ... side AB equal to the side CD , and the angle ABC to the angle BCD . Prove by superposition that AD is parallel to BC . 4 ...
... third angle of the one is equal to the third angle of the other . XVI . 1. In the figure of Prop . 2 show how to ... side AB equal to the side CD , and the angle ABC to the angle BCD . Prove by superposition that AD is parallel to BC . 4 ...
Σελίδα 36
... sides of a triangle is parallel to the third side . XXXII . 1. The straight lines drawn through the middle points of the sides of a triangle perpendicular to the sides meet in a point . 2. The straight line which joins the middle points ...
... sides of a triangle is parallel to the third side . XXXII . 1. The straight lines drawn through the middle points of the sides of a triangle perpendicular to the sides meet in a point . 2. The straight line which joins the middle points ...
Σελίδα 37
... third side . 3. Show how to bisect a triangle by a straight line drawn through one of its angular points . 4. If any ... three straight lines which join the middle points of the sides of a triangle divide the triangle into four triangles ...
... third side . 3. Show how to bisect a triangle by a straight line drawn through one of its angular points . 4. If any ... three straight lines which join the middle points of the sides of a triangle divide the triangle into four triangles ...
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.