Rider Papers on Euclid (books I. and II.) |
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Page 11
... describe the circle NCD . With centre B and radius BM describe the circle MCD , cutting the former circle in the points C and D. Join CA , CB , DA , DB . Prove that BC = AC , and AD = BD . What kind of figure is CADB ? 4. In the figure ...
... describe the circle NCD . With centre B and radius BM describe the circle MCD , cutting the former circle in the points C and D. Join CA , CB , DA , DB . Prove that BC = AC , and AD = BD . What kind of figure is CADB ? 4. In the figure ...
Page 12
... describe an isosceles triangle on AB , having its two sides CA and CB each equal to MB or AN . 4. ABC is an isosceles triangle , having the side AB equal to the side AC , and the angle BAC is bisected by the straight line AD . Prove ...
... describe an isosceles triangle on AB , having its two sides CA and CB each equal to MB or AN . 4. ABC is an isosceles triangle , having the side AB equal to the side AC , and the angle BAC is bisected by the straight line AD . Prove ...
Page 16
... describe an isosceles triangle having each of its equal sides double of the base . 2. In the figure of Prop . 5 , join FG , and prove that the angle BGF is equal to the angle CFG . 3. The straight line which bisects the vertical angle ...
... describe an isosceles triangle having each of its equal sides double of the base . 2. In the figure of Prop . 5 , join FG , and prove that the angle BGF is equal to the angle CFG . 3. The straight line which bisects the vertical angle ...
Page 20
... describe on the base CD an isosceles triangle having the sum of one of the equal sides and the perpendicular drawn from the vertex to the base equal to AB . 4. Any point P is taken on the line AF which bisects the given rectilineal ...
... describe on the base CD an isosceles triangle having the sum of one of the equal sides and the perpendicular drawn from the vertex to the base equal to AB . 4. Any point P is taken on the line AF which bisects the given rectilineal ...
Page 22
... 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 . Join AC . With centre A and radius equal to BC describe a circle ; 22 RIDER PAPERS .
... 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 . Join AC . With centre A and radius equal to BC describe a circle ; 22 RIDER PAPERS .
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Rider Papers on Euclid: Books I. And II.; Graduated and Arranged in Order of ... Rupert Deakin No preview available - 2016 |
Common terms and phrases
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
Popular passages
Page 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.
Page 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.
Page 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.
Page 59 - Any two sides of a triangle are together greater than the third side.
Page 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.
Page 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.
Page 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.
Page 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.
Page 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.
Page 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.