Rider Papers on Euclid (books I. and II.)Macmillan, 1891 - 79 páginas |
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Página 16
... finite straight line 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 ...
... finite straight line 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 ...
Página 23
... parallel to BC . 4. If two straight lines AB , AC both pass through the same point A , they cannot both be parallel to another line . 5. AX is a given finite straight line , and P and Q are two given acute angles . Show how to construct ...
... parallel to BC . 4. If two straight lines AB , AC both pass through the same point A , they cannot both be parallel to another line . 5. AX is a given finite straight line , and P and Q are two given acute angles . Show how to construct ...
Página 24
... finite straight line , and one angle equal to a given acute angle . 6. In any right - angled triangle the two acute angles are complementary . XVII . 1. Prove by the method of superposition that only one perpendicular can be drawn to a ...
... finite straight line , and one angle equal to a given acute angle . 6. In any right - angled triangle the two acute angles are complementary . XVII . 1. Prove by the method of superposition that only one perpendicular can be drawn to a ...
Página 28
... straight line at right angles to a given finite straight line from one of its extremities without producing the given straight line . 4. Prove indirectly that if the bisectors of two angles of a triangle are equal the two angles are ...
... straight line at right angles to a given finite straight line from one of its extremities without producing the given straight line . 4. Prove indirectly that if the bisectors of two angles of a triangle are equal the two angles are ...
Página 32
Rupert Deakin. XXVI . 1. If through any point equidistant from two parallel straight lines , two other straight lines ... finite straight line . making the angle BAC acute . Produce AC to D , and then to E , making CD and CE each equal to ...
Rupert Deakin. XXVI . 1. If through any point equidistant from two parallel straight lines , two other straight lines ... finite straight line . making the angle BAC acute . Produce AC to D , and then to E , making CD and CE each equal to ...
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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.