Solutions to the mathematical examination papers set for admission to the Royal military academy, Woolwich, and for the Royal military college [&c.] by D. Tierney and H. Sharratt1877 |
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Σελίδα 11
... angles equal to two right angles , the triangles are equal . Let ABC and DEF ( fig . 1 ) be two triangles having the two sides BA , AC equal to the two sides ED , DF respectively , and the angles BAC and DEF together equal to two right ...
... angles equal to two right angles , the triangles are equal . Let ABC and DEF ( fig . 1 ) be two triangles having the two sides BA , AC equal to the two sides ED , DF respectively , and the angles BAC and DEF together equal to two right ...
Σελίδα 12
... right angles to AB and equal to it . Join AD . Then the square on AD is equal to twice the square on AB . From D draw DE at right angles to AD and equal to AB . Join AE . Then the square on AE , being equal to the squares on DE and AD ...
... right angles to AB and equal to it . Join AD . Then the square on AD is equal to twice the square on AB . From D draw DE at right angles to AD and equal to AB . Join AE . Then the square on AE , being equal to the squares on DE and AD ...
Σελίδα 13
... right angles to AB , and on it take DF equal to C. Draw FG parallel to DB , and GO parallel to DE . Then AB is divided at O as required . For the rect- angle AO.OB is equal to the square on OG , that is , to the given rectangle . 7. To ...
... right angles to AB , and on it take DF equal to C. Draw FG parallel to DB , and GO parallel to DE . Then AB is divided at O as required . For the rect- angle AO.OB is equal to the square on OG , that is , to the given rectangle . 7. To ...
Σελίδα 14
... right angles , also the angles BDE and EFC are equal , for they are equal respectively to BAE and EAC . Therefore the two triangles BDE and EFC are similar , and therefore BD : EF :: BE : EC , which was to be proved . 9. If four ...
... right angles , also the angles BDE and EFC are equal , for they are equal respectively to BAE and EAC . Therefore the two triangles BDE and EFC are similar , and therefore BD : EF :: BE : EC , which was to be proved . 9. If four ...
Σελίδα 20
... angles , these together shall be less than four right angles . Euclid , Book XI . , Defs . 9 , 11 , Prop . 21 . Is this proposition true if any of the planes which contain the solid angle make re - entering angles with one another ? If ...
... angles , these together shall be less than four right angles . Euclid , Book XI . , Defs . 9 , 11 , Prop . 21 . Is this proposition true if any of the planes which contain the solid angle make re - entering angles with one another ? If ...
Άλλες εκδόσεις - Προβολή όλων
Solutions To The Mathematical Examination Papers Set For Admission To The ... D Tierney,Handell Sharratt Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
Solutions to the Mathematical Examination Papers Set for Admission to the ... D. Tierney,Handell Sharratt Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Solutions To The Mathematical Examination Papers Set For Admission To The ... D. Tierney,Handell Sharratt Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
Συχνά εμφανιζόμενοι όροι και φράσεις
AB² ABCD acceleration AD² ARITHMETIC axis BC² cent centre of gravity circle coefficient of friction Conic Sections cose cubic curve decimal described diameter Differential Calculus directrix Divide dy dx equal and parallel Euclid expression feet Find the equation forces fraction given straight line hyperbola inches inclined integration intersect Join latus rectum least common multiple logarithmic mechanical advantage METCALFE AND SON moment of inertia Multiply opposite angles parabola parallelogram Parkinson's Mechanics particle perpendicular plane point of bisection Prop prove quadrilateral radius ratio rectangle contained Result right angles roots seconds segments semicircle shew sides Similarly sin² sine square string subtending Subtract tangent Todhunter Todhunter's Trigonometry triangle ABC Trig vertex vertical virtual velocities weight whence whole number yards
Δημοφιλή αποσπάσματα
Σελίδα 55 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 71 - If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
Σελίδα 11 - ... shall be equal to three given straight lines, but any two whatever of these must be greater than the third.
Σελίδα 12 - 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.
Σελίδα 13 - The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference.
Σελίδα 15 - Similar triangles are to one another in the duplicate ratio of their homologous sides.
Σελίδα 13 - BAC is cut off from the given circle ABC containing an angle equal to the given angle D : Which was to be done. PROP. XXXV. THEOR. If two straight lines within a circle cut one another, the rectangle contained by the segments of one of them is equal to the rectangle contained by the segments of the other.
Σελίδα 62 - In every triangle, the square of the side subtending either of the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle.
Σελίδα 13 - PROP. X. THEOR. IF a straight line be bisected, and produced to any point, the square of the whole line thus produced, and the square of the part of it produced, are together double of the square of half the line bisected, and of the square of the line made up of the half and the part produced.
Σελίδα 70 - And because the angle ABC is equal to the angle BCD, and the angle CBD to the angle ACB, therefore the whole angle ABD is equal to the whole angle ACD • (ax.