Rider Papers on Euclid (books I. and II.) |
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Page 5
... Propositions in Euclid connected with the Riders , Enunciations of Propositions in Euclid I. and II . , Examination Papers in Euclid I. and II . , · · · · · 46 52 67 9858 5 · 57 INTRODUCTION . ON TEACHING EUCLID . THIS little book has.
... Propositions in Euclid connected with the Riders , Enunciations of Propositions in Euclid I. and II . , Examination Papers in Euclid I. and II . , · · · · · 46 52 67 9858 5 · 57 INTRODUCTION . ON TEACHING EUCLID . THIS little book has.
Page 8
... Propositions are usually stated . For example , almost all editions of Euclid contain this Rider : - " The straight ... Propositions in Euclid . Throughout these Papers therefore all Riders , except the simplest , are stated first as ...
... Propositions are usually stated . For example , almost all editions of Euclid contain this Rider : - " The straight ... Propositions in Euclid . Throughout these Papers therefore all Riders , except the simplest , are stated first as ...
Page 9
... Propositions , all contained in Euclid , which must be learnt and remembered ; but that there are also an endless number of unimportant Riders , which no one ever can remember . We should rather aim at teaching our pupils that there are ...
... Propositions , all contained in Euclid , which must be learnt and remembered ; but that there are also an endless number of unimportant Riders , which no one ever can remember . We should rather aim at teaching our pupils that there are ...
Page 12
... Proposition , Enunciation , Data and Quæsita . 2. Draw a right - angled scalene 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 ...
... Proposition , Enunciation , Data and Quæsita . 2. Draw a right - angled scalene 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 ...
Page 57
... 24 26 29 32 8 4 34 8446∞∞∞442 *** 2 * 22 **** 22 * 22444000 ~~~~ ******* : ~ :: ~ 22222222 - * - * 22 20 20 20 3 4 32 32 32 32 32 34 4 32 34 8 29 28 29 34 " " 4 5 6 2222-228 555 $ 959 EIBL 8888888 10 PROPOSITIONS IN EUCLID . 57.
... 24 26 29 32 8 4 34 8446∞∞∞442 *** 2 * 22 **** 22 * 22444000 ~~~~ ******* : ~ :: ~ 22222222 - * - * 22 20 20 20 3 4 32 32 32 32 32 34 4 32 34 8 29 28 29 34 " " 4 5 6 2222-228 555 $ 959 EIBL 8888888 10 PROPOSITIONS IN EUCLID . 57.
Other editions - View all
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.