Rider Papers on Euclid (books I. and II.)Macmillan, 1891 - 79 páginas |
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Página 17
... points A and B. 2. ABCD is a quadrilateral figure , and its diagonals AC and BD bisect each other at right angles . Prove that ABCD is a rhombus . B 3. Show how to divide a given rectilineal angle into EUCLID , BOOKS I. AND II . 17.
... points A and B. 2. ABCD is a quadrilateral figure , and its diagonals AC and BD bisect each other at right angles . Prove that ABCD is a rhombus . B 3. Show how to divide a given rectilineal angle into EUCLID , BOOKS I. AND II . 17.
Página 26
... to half the hypothenuse . 5. What is the magnitude of each of the angles of a regular pentagon ? 6. If the diagonals of a parallelogram are equal all its angles are right angles . XX . 1. If in Prop . 33 the lines 26 RIDER PAPERS . 26.
... to half the hypothenuse . 5. What is the magnitude of each of the angles of a regular pentagon ? 6. If the diagonals of a parallelogram are equal all its angles are right angles . XX . 1. If in Prop . 33 the lines 26 RIDER PAPERS . 26.
Página 28
... which passes through the middle point of one of its diagonals . 4. If one angle of a parallelogram is a right angle all its angles are right angles . 5. If the opposite sides of a quadrilateral figure are 28 RIDER PAPERS . 28.
... which passes through the middle point of one of its diagonals . 4. If one angle of a parallelogram is a right angle all its angles are right angles . 5. If the opposite sides of a quadrilateral figure are 28 RIDER PAPERS . 28.
Página 29
... diagonals of a parallelogram bisect each other . 5. If the opposite angles of a quadrilateral figure are equal it is a parallelogram . 6. The lines which bisect the angles of any parallelo- gram form a right - angled parallelogram ...
... diagonals of a parallelogram bisect each other . 5. If the opposite angles of a quadrilateral figure are equal it is a parallelogram . 6. The lines which bisect the angles of any parallelo- gram form a right - angled parallelogram ...
Página 30
... diagonals of a quadrilateral figure bisect each other , the figure is a parallelogram . 5. If a quadrilateral figure has two of its opposite sides parallel , and the other two sides equal but not parallel , any two of its opposite ...
... diagonals of a quadrilateral figure bisect each other , the figure is a parallelogram . 5. If a quadrilateral figure has two of its opposite sides parallel , and the other two sides equal but not parallel , any two of its opposite ...
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Rider Papers on Euclid: Books I. And II.; Graduated and Arranged in Order of ... Rupert Deakin Sin vista previa disponible - 2016 |
Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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.
Página 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.
Página 59 - Any two sides of a triangle are together greater than the third side.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.