Rider Papers on Euclid (books I. and II.)Macmillan, 1891 - 79 páginas |
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Página 32
... plane , each of which is equidistant from the three sides of a 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 ...
... plane , each of which is equidistant from the three sides of a 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 ...
Página 69
... square BDEC , and on DE the equilateral triangle DEF . Prove that EF is parallel to AB . Or , ( ii . ) Bisect a parallelogram by a straight line drawn through a given point in the plane of the EXAMINATION PAPERS . 69.
... square BDEC , and on DE the equilateral triangle DEF . Prove that EF is parallel to AB . Or , ( ii . ) Bisect a parallelogram by a straight line drawn through a given point in the plane of the EXAMINATION PAPERS . 69.
Página 73
... plane superficies , a plane rectilineal angle , and a right - angled triangle . Give Euclid's Axiom relating to right angles . 2. Euclid I. 5 . If on a common base and on opposite sides of it be described two isosceles triangles , the ...
... plane superficies , a plane rectilineal angle , and a right - angled triangle . Give Euclid's Axiom relating to right angles . 2. Euclid I. 5 . If on a common base and on opposite sides of it be described two isosceles triangles , the ...
Página 75
... plane , a circle . Euclid I. 7 . ACB , ADB are two triangles on the same side of AB , such that AC is equal to BD and AD is equal to BC , and AD and BC intersect in R ; prove that the triangles ARC and BRD are equal in all respects . 2 ...
... plane , a circle . Euclid I. 7 . ACB , ADB are two triangles on the same side of AB , such that AC is equal to BD and AD is equal to BC , and AD and BC intersect in R ; prove that the triangles ARC and BRD are equal in all respects . 2 ...
Página 76
... Euclid II . 11 . Prove that if a straight line be divided as above the rectangle contained by the two parts is equal to the difference of the squares on the two parts . 5. Define a plane superficies , a circle , a 76 RIDER PAPERS .
... Euclid II . 11 . Prove that if a straight line be divided as above the rectangle contained by the two parts is equal to the difference of the squares on the two parts . 5. Define a plane superficies , a circle , a 76 RIDER PAPERS .
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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.