Rider Papers on Euclid (books I. and II.)Macmillan, 1891 - 79 sider |
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Resultat 1-5 av 11
Side 12
... triangle , an obtuse- angled scalene triangle and an acute - angled scalene triangle . 3. Take a straight line AB , and produce it both ways to M and N. Make MB = AN . Show how to describe an isosceles triangle on AB , having its two ...
... triangle , an obtuse- angled scalene triangle and an acute - angled scalene triangle . 3. Take a straight line AB , and produce it both ways to M and N. Make MB = AN . Show how to describe an isosceles triangle on AB , having its two ...
Side 19
... equilateral triangle are equal . 3. Given two points A and B on the same side of a line CD . Find a point P in CD , such that the sum of AP and BP is a minimum . 4. X , Y , Z are the middle points of the sides BC , CA , AB of the triangle ...
... equilateral triangle are equal . 3. Given two points A and B on the same side of a line CD . Find a point P in CD , such that the sum of AP and BP is a minimum . 4. X , Y , Z are the middle points of the sides BC , CA , AB of the triangle ...
Side 21
... triangle having the side BA produced to D , and the angle CAD is bisected by the line AX . If AX is parallel to BC , prove that ABC is an isosceles triangle . 6. Each of the angles of an equilateral triangle is two - thirds of a right ...
... triangle having the side BA produced to D , and the angle CAD is bisected by the line AX . If AX is parallel to BC , prove that ABC is an isosceles triangle . 6. Each of the angles of an equilateral triangle is two - thirds of a right ...
Side 32
... triangle . 3. Show that six equilateral triangles can be arranged round one common vertex so as to make a regular hexagon . 4. In the triangle ABC the two medians BY and OZ are drawn to intersect in O , and through C , CE is drawn ...
... triangle . 3. Show that six equilateral triangles can be arranged round one common vertex so as to make a regular hexagon . 4. In the triangle ABC the two medians BY and OZ are drawn to intersect in O , and through C , CE is drawn ...
Side 41
... equilateral triangle having its base on AB , its vertex on CD and each of its sides equal to X. 3. Describe a triangle equal to a given parallelogram and having an angle equal to a given rectilineal angle . 4. In the figure of Prop . 47 ...
... equilateral triangle having its base on AB , its vertex on CD and each of its sides equal to X. 3. Describe a triangle equal to a given parallelogram and having an angle equal to a given rectilineal angle . 4. In the figure of Prop . 47 ...
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Rider Papers on Euclid: Books I. And II.; Graduated and Arranged in Order of ... Rupert Deakin Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 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.
Side 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.
Side 59 - Any two sides of a triangle are together greater than the third side.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.