The complements of the parallelograms which are about the diameter of any parallelogram are equal to one another.
Parallelograms about the diameter of any parallelogram are similar to the whole parallelogram and to one another; and its converse (Prop.
Parallelograms on the same base and between the same parallels are equal to one another; and Prop.
Propositions 24 and 26 relate to parallelograms about diagonals, such as are considered in Book I.
Parallelograms which are equiangular to one another, have to one another the ratio which is compounded of the ratios of their sides.
If two similarparallelograms have a common angle, and be similarly situated, they are about the same diameter.
It is to be remarked that Euclid proves these propositions only in the case when the parallelograms or triangles have their bases in the same straight line.
If these parallelograms be placed side by side, they may be added together to form a single parallelogram, having still one side of the given length.
Parallelograms on equal bases and between the same parallels are equal to one another.
Euclid considers next proportions connected with parallelograms and triangles which are equal in area.
Triangles andparallelograms of the same altitude are to one another as their bases.
I made out ghastly parallelograms of a ship's sails high above us, and at last many faces peering unseeingly over the rail in our direction.
Behind many of the imposing and escutcheoned frontages there was nothing but heaps of rubble; the footsteps of rare passers-by woke lonely echoes, and strips of grass outlined in parallelograms the flagstones of the roadway.
If then in proceeding you give the length of the two last lines [taken together] as the measure of the length of the district, you will appear to measure the length of one of your parallelograms by its diagonal.
Two parallelograms are congruent if two sides and the included angle of the one are equal respectively to two sides and the included angle of the other.
An interesting outdoor application of the theory of parallelograms is the following: [Illustration] Suppose you are on the side of this stream opposite to XY, and wish to measure the length of XY.
Euclid's statement (Book VI, Proposition 1) was as follows: Triangles and parallelograms which are under the same height are to one another as their bases.
We therefore speak of congruent triangles and congruent parallelograms as being those that are superposable.
The first of these, designated by the letter H, is placed between the parallelograms C and D, and consists of two squares of five oblongs each, indicating the Aztec numeral 10.
The four epochs of destruction are precisely the days typified by the hieroglyphics in the four parallelograms A, B, C and D.
These parallelograms are then assorted as to size, and fitted together at the back by brass bolts and nuts.
They are then cut into parallelograms of various sizes, the outer portion of the circular section near the bark being cut away, and all defective wood rejected.
Between the two upper and lower parallelograms are two figures, which Gama explains as being two claws, which are the hieroglyphics representing two eminent astrologers, man and wife.
They usually took the form of parallelograms and were often over a hundred feet long.
As the early possessor of large tracts of land had sons to settle, they portioned off parallelograms to each; which, to combine the advantages of exportation and wood, extended from the river to the flooded forest in the rear.
The windows of the Casa Gould flung their shining parallelograms upon the house of the Avellanos.
He laughed wildly and turned in the doorway towards the body of the late Senor Hirsch, an opaque long blotch in the semi-transparent obscurity of the room between the two tall parallelograms of the windows full of stars.
Thus there are three types of parallelograms in the four-dimensional manifold of event-particles.
In parallelograms of the third type the two pairs of parallel sides are both of them pairs of point-tracks.
In parallelograms of the first type the two pairs of parallel sides are both of them pairs of rects.
The second axiom of congruence concerns parallelograms on congruent bases and between the same parallels, which have also their other pairs of sides parallel.
In parallelograms of the second type one pair of parallel sides is a pair of rects and the other pair is a pair of point-tracks.
I am also grateful to this city for breaking the monotony of the eternal parallelograms with which the whole of the United States are built.
When I say that it is an American city, I mean to say that Toronto is a large area, covered with blocks of parallelograms and dirty streets, overspread with tangles of telegraph and telephone wires.
There were also little free parallelograms of yellowish, highly translucent matter.
Weinberg writes concerning these: "The parallelograms in the first row indicate for each position in order of birth how many children out of every hundred die before the age of 20.
In the gaps between them long parallelograms of gardens could be seen joining others even longer that led up to the backs of another road behind.
Nothing could be less surreptitious than those chatting nursemaids, and actually in one of the parallelograms of garden a child was throwing a scarlet ball high into the air.
The above list will hopefully give you a few useful examples demonstrating the appropriate usage of "parallelograms" in a variety of sentences. We hope that you will now be able to make sentences using this word.
