The First Book of Euclid's Elements: Arranged for BeginnersMacMillan, 1892 - 167 σελίδες |
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Αποτελέσματα 1 - 5 από τα 10.
Σελίδα 4
... square , without being able to make a perfect cube or a perfect square . E B K N M The pictures which we draw of solids , surfaces and lines are pictures merely ; they are aids to the proper understanding of the subject ; just as any ...
... square , without being able to make a perfect cube or a perfect square . E B K N M The pictures which we draw of solids , surfaces and lines are pictures merely ; they are aids to the proper understanding of the subject ; just as any ...
Σελίδα 5
... square are a series of lines having a particular size and shape . We can think of this series of lines as having different positions in space , the lines themselves still forming the sides of the same square . We can suppose for example ...
... square are a series of lines having a particular size and shape . We can think of this series of lines as having different positions in space , the lines themselves still forming the sides of the same square . We can suppose for example ...
Σελίδα 69
... square is a four - sided figure having all its sides equal and one of its angles a right angle . ] 11. Prove that if two rectangles have two adjacent sides of the one equal respectively to two adjacent sides of the other , they are ...
... square is a four - sided figure having all its sides equal and one of its angles a right angle . ] 11. Prove that if two rectangles have two adjacent sides of the one equal respectively to two adjacent sides of the other , they are ...
Σελίδα 148
... square described on the hypotenuse is equal to the sum of the areas of the squares described upon the other two sides of the triangle . Let ABC represent a triangle in which the angle BAC is a right angle , and let BEDC , CFGA , AKHB ...
... square described on the hypotenuse is equal to the sum of the areas of the squares described upon the other two sides of the triangle . Let ABC represent a triangle in which the angle BAC is a right angle , and let BEDC , CFGA , AKHB ...
Σελίδα 150
... square on the diagonal of a square is equal in area to twice the square . 3. The square on the hypotenuse of an isosceles right - angled triangle is equal in area to four times the square on the perpen- dicular from the right angle to ...
... square on the diagonal of a square is equal in area to twice the square . 3. The square on the hypotenuse of an isosceles right - angled triangle is equal in area to four times the square on the perpen- dicular from the right angle to ...
Συχνά εμφανιζόμενοι όροι και φράσεις
ABC is equal adjacent angles alternate angles angle ABC angle ACB angle BAC angle equal angles FAB angular point area of ABC base BC bisectors bisects the angle centre coincide Consider the triangles Construction corresponding angle DEF are equal describe a triangle diagonal equal angles equal area equal in area equal respectively equal to BC equidistant equilateral triangle exterior angle finite straight line given angle given finite straight given parallelogram given point given straight line given triangle greater included angle interior opposite angle intersect isosceles triangle line BC middle point opposite sides perpendicular plane produced Prop Proposition Q.E.D. EXAMPLES quadrilateral radius rectilineal figure required to prove rhombus right angles right-angled triangle Shew side BC sides equal square straight angle surface third side triangle ABC triangle DEF triangles are equal Wherefore
Δημοφιλή αποσπάσματα
Σελίδα 28 - 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.
Σελίδα 72 - 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.
Σελίδα 48 - From the greater of two given straight lines to cut off a part equal to the less. Let AB and C be the two given straight lines, whereof AB is the greater.
Σελίδα 151 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line ; it is required to draw a straight line through the point A, parallel to the straight hue BC.
Σελίδα 118 - THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel.
Σελίδα 149 - ... is equal to the sum of the areas of the squares on the other two sides.
Σελίδα 114 - 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.
Σελίδα 135 - DE : but equal triangles on the same base and on the same side of it, are between the same parallels ; (i.
Σελίδα 125 - The line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of the third side.
Σελίδα 54 - To draw a straight line at right angles to a given straight line, from a given point in the same.