The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With the Elements of Plane Trigonometry, and an Appendix in Four Books : With Notes and IllustrationsLongmans, Green, 1845 - 352 sider |
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Side iv
... base of a parallelogram equal to 14 chains 32 links , and its perpendicular breadth equal to 10 chains 46 links ; to find its area . * Answ . 14 a . 3r . 36 6p . nearly . 23. If the base and perpendicular of a triangle be 66 and 32 ...
... base of a parallelogram equal to 14 chains 32 links , and its perpendicular breadth equal to 10 chains 46 links ; to find its area . * Answ . 14 a . 3r . 36 6p . nearly . 23. If the base and perpendicular of a triangle be 66 and 32 ...
Side vii
... base , but in its continuation . 5. If the base of a triangle be 70 , and the other sides 45 and 35 ; what is the length of the straight line drawn from the vertical angle to the point of bisection of the base ? Answ . 20 . 6. If two ...
... base , but in its continuation . 5. If the base of a triangle be 70 , and the other sides 45 and 35 ; what is the length of the straight line drawn from the vertical angle to the point of bisection of the base ? Answ . 20 . 6. If two ...
Side ix
... base of a triangle be 18 , and the other sides 25 and 16 , respectively , what is the length of the external segment of the base , made by a straight line bisecting the exterior angle at the vertex ? Answ . 32 . 8. From the same data ...
... base of a triangle be 18 , and the other sides 25 and 16 , respectively , what is the length of the external segment of the base , made by a straight line bisecting the exterior angle at the vertex ? Answ . 32 . 8. From the same data ...
Side 10
... base BC shall coincide with the base EF ; because , the point B coinciding with E , and C with F , if BC did not coincide with EF , two straight lines would enclose a space , which ( I. def . 3 , cor . ) is impossible . Therefore the base ...
... base BC shall coincide with the base EF ; because , the point B coinciding with E , and C with F , if BC did not coincide with EF , two straight lines would enclose a space , which ( I. def . 3 , cor . ) is impossible . Therefore the base ...
Side 11
... base are also equal . * Let ABC be an isosceles triangle , of which the side AB is equal to AC , and let the sides ... base FC is equal to the base GB ; and the remaining angles of the one are equal ( I. 4 , part . 3 ) to the remaining ...
... base are also equal . * Let ABC be an isosceles triangle , of which the side AB is equal to AC , and let the sides ... base FC is equal to the base GB ; and the remaining angles of the one are equal ( I. 4 , part . 3 ) to the remaining ...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ... James Thomson, gen,James Euclides Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
ABCD altitude angle ABC angle BAC angle equal BC is equal bisected centre chord circle ABC circumference cone const contained corollary cylinder describe a circle diagonal diameter divided draw equal angles equal to AC equiangular equilateral Euclid exterior angle fore fourth given circle given point given ratio given straight line greater half Hence hypotenuse inscribed join less Let ABC magnitudes manner multiple opposite parallel parallelepiped parallelogram perpendicular polygon polyhedron prism PROB.-To produced PROP proportional proposition pyramid radius rectangle rectilineal figure right angles Schol scholium segments semicircle sides similar solid angles square of AC straight line drawn tangent THEOR.-If third triangle ABC trigonometry triplicate ratio vertex vertical angle wherefore
Populære avsnitt
Side 130 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Side 45 - 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.
Side 2 - A rhombus is that which has all its sides equal, but its angles are not right angles.
Side 50 - To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part.
Side 38 - 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.
Side 7 - If two triangles have two sides of the one equal to two sides of the...
Side 27 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Side 27 - 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.
Side 15 - 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.
Side 36 - To describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. Let ABCD be the given rectilineal figure, and E the given rectilineal angle. It is required to describe a parallelogram equal to ABCD, and having an angle equal to E.